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(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.502 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice (Type integers decimals rounded to three decimal places as needed. Use ascending order.) O A. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and O B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and

(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.502 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice (Type integers decimals rounded to three decimal places as needed. Use ascending order.) O A. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and O B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.0003 0.0005 0.0007 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.5080 0.5478 0.5871 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.0006 0.0006 -3.1 -3.0 0.0010 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.0009 0.0009 0.0013 0.0008 0.0011 0.0008 0.0007 0.0010 0.3 0.4 0.6217 0.6591 0.6406 0.6772 0.6443 0.6808 0.0013 0.0011 -29 -28 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0017 0.0023 0.0032 0.6915 0.7257 0.7580 0.7088 0.7422 0.7734 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.0015 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0028 0.5 0.6 0.7 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7939 0.8212 0.7054 0.7389 0.7704 0.7157 0.7486 0.7794 0.8078 0.0021 0.0029 0.0014 0.0020 0.0014 0.0019 0.0026 0.7019 0.7357 0.7673 0.7123 0.7454 0.7764 0.0027 0.0044 0.0059 0.0043 0.0057 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.7881 0.8159 0.8133 0.8389 0.0037 0.8 0.0047 0.0062 0.0041 0.0055 0.0036 0.0048 0.7910 0.8186 0.7967 0.8238 0.7995 0.8023 0.8289 0.8051 0.8315 0.8106 0.8365 0.0049 0.9 0.8264 0.8340 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 -2.4 -2.3 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0.0217 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.0064 0.0084 1.0 0.8413 0.8643 0.8849 0.8554 0.8770 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.90 15 0.9177 0.9319 1.1 1.2 -2.2 -2.1 -2.0 0.8962 0.9131 0.9279 0.0110 0.0166 0.0212 0.0143 0.0183 0.9032 0.9192 0.9066 0.9222 0.9147 0.0179 0.0228 0.0174 0.0222 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 1.3 1.4 0.9236 0.9292 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0274 0.0344 0.0427 0.0250 0.0314 0.0392 0.0485 0.0594 0.0233 0.0294 0.0367 0.0281 0.0351 0.0262 0.0329 0.0256 0.0322 0.0401 0.0495 0.0606 0.9357 0.0268 0.0336 0.0418 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9474 0.9573 0.0436 0.0409 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0505 0.0618 0.0475 0.0582 1.8 1.9 0.9656 0.9726 0.9699 0.9761 0.9706 0.9767 0.0455 0.9649 0.9664 0.9732 0.9671 0.9738 0.9693 0.9756 0.0559 0.9719 -1.4 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.1314 0.1539 0.1230 0.1446 0.1210 0.1423 2.3 2.4 0.9893 0.1292 0.1515 0.1170 0.1379 0.9909 0.9931 0.9911 -1.1 -1.0 0.1271 0.1492 0.1251 0.1469 0.9896 0.9898 0.9901 0.9925 0.9906 0.9916 0.9918 0.9920 0.9922 0.9929 0.9932 0.9936 0.1788 0.2061 0.2358 0.2676 0.1762 0.2033 0.2327 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1635 0.1894 0.2177 0.2483 2.5 2.6 2.7 0.9941 0.9956 0.9967 0.9945 0.9959 0.9969 0.9949 0.9962 0.9972 0.1841 0.2119 0.2420 0.9943 0.9957 0.9951 0.9963 0.9973 0.1736 0.9938 0.9953 0.9965 0.9940 0.9955 0.9966 0.9946 0.9960 0.9948 0.9961 0.9971 -0.9 0.9952 0.1814 0.2090 0.2389 0.1711 0.1977 0.2266 0.2578 0.1611 0.1867 0.2148 -08 -0.7 0.2005 0.9964 0.9974 0.0081 0.2296 0.9968 0.9970 -0.6 0.2743 0.2709 0.2643 0.2611 0.2546 0.2514 0.2451 2.8 0.0074 0.0075 0.0076 0.0077 0.0977 0.0078 0.9070 0.0979 0.9080
Transcribed Image Text:Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.0003 0.0005 0.0007 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.5080 0.5478 0.5871 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.0006 0.0006 -3.1 -3.0 0.0010 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.0009 0.0009 0.0013 0.0008 0.0011 0.0008 0.0007 0.0010 0.3 0.4 0.6217 0.6591 0.6406 0.6772 0.6443 0.6808 0.0013 0.0011 -29 -28 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0017 0.0023 0.0032 0.6915 0.7257 0.7580 0.7088 0.7422 0.7734 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.0015 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0028 0.5 0.6 0.7 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7939 0.8212 0.7054 0.7389 0.7704 0.7157 0.7486 0.7794 0.8078 0.0021 0.0029 0.0014 0.0020 0.0014 0.0019 0.0026 0.7019 0.7357 0.7673 0.7123 0.7454 0.7764 0.0027 0.0044 0.0059 0.0043 0.0057 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.7881 0.8159 0.8133 0.8389 0.0037 0.8 0.0047 0.0062 0.0041 0.0055 0.0036 0.0048 0.7910 0.8186 0.7967 0.8238 0.7995 0.8023 0.8289 0.8051 0.8315 0.8106 0.8365 0.0049 0.9 0.8264 0.8340 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 -2.4 -2.3 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0.0217 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.0064 0.0084 1.0 0.8413 0.8643 0.8849 0.8554 0.8770 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.90 15 0.9177 0.9319 1.1 1.2 -2.2 -2.1 -2.0 0.8962 0.9131 0.9279 0.0110 0.0166 0.0212 0.0143 0.0183 0.9032 0.9192 0.9066 0.9222 0.9147 0.0179 0.0228 0.0174 0.0222 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 1.3 1.4 0.9236 0.9292 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0274 0.0344 0.0427 0.0250 0.0314 0.0392 0.0485 0.0594 0.0233 0.0294 0.0367 0.0281 0.0351 0.0262 0.0329 0.0256 0.0322 0.0401 0.0495 0.0606 0.9357 0.0268 0.0336 0.0418 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9474 0.9573 0.0436 0.0409 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0505 0.0618 0.0475 0.0582 1.8 1.9 0.9656 0.9726 0.9699 0.9761 0.9706 0.9767 0.0455 0.9649 0.9664 0.9732 0.9671 0.9738 0.9693 0.9756 0.0559 0.9719 -1.4 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.1314 0.1539 0.1230 0.1446 0.1210 0.1423 2.3 2.4 0.9893 0.1292 0.1515 0.1170 0.1379 0.9909 0.9931 0.9911 -1.1 -1.0 0.1271 0.1492 0.1251 0.1469 0.9896 0.9898 0.9901 0.9925 0.9906 0.9916 0.9918 0.9920 0.9922 0.9929 0.9932 0.9936 0.1788 0.2061 0.2358 0.2676 0.1762 0.2033 0.2327 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1635 0.1894 0.2177 0.2483 2.5 2.6 2.7 0.9941 0.9956 0.9967 0.9945 0.9959 0.9969 0.9949 0.9962 0.9972 0.1841 0.2119 0.2420 0.9943 0.9957 0.9951 0.9963 0.9973 0.1736 0.9938 0.9953 0.9965 0.9940 0.9955 0.9966 0.9946 0.9960 0.9948 0.9961 0.9971 -0.9 0.9952 0.1814 0.2090 0.2389 0.1711 0.1977 0.2266 0.2578 0.1611 0.1867 0.2148 -08 -0.7 0.2005 0.9964 0.9974 0.0081 0.2296 0.9968 0.9970 -0.6 0.2743 0.2709 0.2643 0.2611 0.2546 0.2514 0.2451 2.8 0.0074 0.0075 0.0076 0.0077 0.0977 0.0078 0.9070 0.0979 0.9080
A random sample of 1026 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1026 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). .... . (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.502 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and O B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
Transcribed Image Text:A random sample of 1026 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1026 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). .... . (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.502 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and O B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
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