MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Construct a 95% confidence interval of the population proportion using the given information. x = 80, n = 200 Click here to view the table of critical values. The lower bound is The upper bound is (Round to three decimal places as needed.) Table of critical values Level of Confidence, (1 - a). 100% 90% 95% 99% Print Area in Each Tail, 0.05 0.025 0.005 Done C Critical Value, z 1.645 1.96 2.575 X
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Transcribed Image Text:Construct a 95% confidence interval of the population proportion using the given information. x = 80, n = 200 Click here to view the table of critical values. The lower bound is The upper bound is (Round to three decimal places as needed.) Table of critical values Level of Confidence, (1 - a). 100% 90% 95% 99% Print Area in Each Tail, 0.05 0.025 0.005 Done C Critical Value, z 1.645 1.96 2.575 X
A survey of 2316 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 408 have donated blood in the past two years. Complete parts (a) through (c) 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 aged 18 and older who have donated blood in the past two years. p= 0.176 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼a simple random sample, the value of (Round to three decimal places as needed.) ▼is, which is Area Standard Normal Distribution Table (page 1) z -3.4 -33 -3.2 -31 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 -0.1 -0.0 z 0.00 0.01 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0007 0.0007 0.0006 0.0010 0.0009 0.0009 0.0013 0.0013 0.0013 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0024 0.0035 0.0034 0.0023 0.0032 0.0033 0.0047 0.0062 0.0082 0.0107 0.0139 0.0136 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 0.0045 0.0060 0.0080 0.0104 0.3446 0.3821 0.4207 0.4602 0.5000 0.00 0.0537 0.0655 0.0793 0.0968 0.0951 0.1131 0.0808 0.1151 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0,2090 0.2420 0.2389 0.2743 0.2709 0.3050 0.3409 0.3085 0.0281 0.0351 0.0436 ▼10, and the 0.02 0.0174 0.0170 0.0222 0.0217 0.4562 0.4960 0.01 0.0044 0.0059 G 0.0078 0.0102 0.0132 0.3372 0.3783 0.3745 0.4168 0.4129 Standard Normal Distribution 0.03 0.04 0.05 0.06 0.0003 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0006 0.0005 0.0009 0.0008 0.0008 0.0008 0.0008 0.0012 0.0012 0.0011 0.0011 0.0011 0.0016 0.0016 0.0015 0.0015 0.0023 0.0022 0.0021 0.0021 0.0031 0.0030 0.0029 0.0028 0.0039 0.0038 0.0052 0.0051 0.4522 0.4920 0.02 0.0043 0.0057 0.0274 0.0344 0.0427 0.0526 0.0516 0.0643 0.0630 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0778 0.0764 0.0934 0.1112 0.1314 0.1539 0.1788 0.1762 0.2061 0.2033 0.2358 0.2327 0.2676 0.3015 0.1292 0.1515 0.0749 0.0918 0.0901 0.1075 0.1271 0.1093 0.1492 0.0041 0.0055 0.3336 0.3707 0.4090 0.4483 0.4880 0.03 0.0162 0.0207 0.0073 0.0071 0.0069 0.0096 0.0094 0.0091 0.0125 0.0122 0.0119 0.0116 0.0158 0.0154 0.0150 0.0202 0.0197 0.0192 0.0262 0.0329 0.0409 0.0505 0.0618 0.2296 0.2643 0.2611 0.2946 0.2981 0.0040 0.0054 0.3300 0.3669 0.4052 0.4443 0.4840 0.04 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0721 0.0708 0.0869 0.0853 0.0885 0.1056 0.1020 0.1423 0.1038 0.1251 0.1230 0.1210 0.1469 0.1446 0.1711 0.1685 0.2005 0.1977 0.1949 0.2266 0.2578 0.2912 0.1736 0.2206 0.2236 0.2546 0.2514 0.2877 0.2843 0.3264 0.3632 0.4013 0.07 0.4404 0.4801 0.05 0.3228 0.3594 0.3974 0.4364 0.4761 0.06 0.1660 0.1922 0.3192 0.3557 0.3936 0.08 0.0068 0.0066 0.0089 0.0087 0.0113 0.4325 0.4721 0.0003 0.0004 0.0250 0.0314 0.0244 0.0239 0.0307 0.0301 0.0392 0.0384 0.0375 0.0475 0.0485 0.0594 0.0582 0.07 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0146 0.0188 0.0465 0.0571 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3156 0.3520 0.3897 0.4286 0.4681 0.08 less than or equal to 5% of the 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09 Q X
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Transcribed Image Text:A survey of 2316 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 408 have donated blood in the past two years. Complete parts (a) through (c) 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 aged 18 and older who have donated blood in the past two years. p= 0.176 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼a simple random sample, the value of (Round to three decimal places as needed.) ▼is, which is Area Standard Normal Distribution Table (page 1) z -3.4 -33 -3.2 -31 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 -0.1 -0.0 z 0.00 0.01 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0007 0.0007 0.0006 0.0010 0.0009 0.0009 0.0013 0.0013 0.0013 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0024 0.0035 0.0034 0.0023 0.0032 0.0033 0.0047 0.0062 0.0082 0.0107 0.0139 0.0136 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 0.0045 0.0060 0.0080 0.0104 0.3446 0.3821 0.4207 0.4602 0.5000 0.00 0.0537 0.0655 0.0793 0.0968 0.0951 0.1131 0.0808 0.1151 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0,2090 0.2420 0.2389 0.2743 0.2709 0.3050 0.3409 0.3085 0.0281 0.0351 0.0436 ▼10, and the 0.02 0.0174 0.0170 0.0222 0.0217 0.4562 0.4960 0.01 0.0044 0.0059 G 0.0078 0.0102 0.0132 0.3372 0.3783 0.3745 0.4168 0.4129 Standard Normal Distribution 0.03 0.04 0.05 0.06 0.0003 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0006 0.0005 0.0009 0.0008 0.0008 0.0008 0.0008 0.0012 0.0012 0.0011 0.0011 0.0011 0.0016 0.0016 0.0015 0.0015 0.0023 0.0022 0.0021 0.0021 0.0031 0.0030 0.0029 0.0028 0.0039 0.0038 0.0052 0.0051 0.4522 0.4920 0.02 0.0043 0.0057 0.0274 0.0344 0.0427 0.0526 0.0516 0.0643 0.0630 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0778 0.0764 0.0934 0.1112 0.1314 0.1539 0.1788 0.1762 0.2061 0.2033 0.2358 0.2327 0.2676 0.3015 0.1292 0.1515 0.0749 0.0918 0.0901 0.1075 0.1271 0.1093 0.1492 0.0041 0.0055 0.3336 0.3707 0.4090 0.4483 0.4880 0.03 0.0162 0.0207 0.0073 0.0071 0.0069 0.0096 0.0094 0.0091 0.0125 0.0122 0.0119 0.0116 0.0158 0.0154 0.0150 0.0202 0.0197 0.0192 0.0262 0.0329 0.0409 0.0505 0.0618 0.2296 0.2643 0.2611 0.2946 0.2981 0.0040 0.0054 0.3300 0.3669 0.4052 0.4443 0.4840 0.04 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0721 0.0708 0.0869 0.0853 0.0885 0.1056 0.1020 0.1423 0.1038 0.1251 0.1230 0.1210 0.1469 0.1446 0.1711 0.1685 0.2005 0.1977 0.1949 0.2266 0.2578 0.2912 0.1736 0.2206 0.2236 0.2546 0.2514 0.2877 0.2843 0.3264 0.3632 0.4013 0.07 0.4404 0.4801 0.05 0.3228 0.3594 0.3974 0.4364 0.4761 0.06 0.1660 0.1922 0.3192 0.3557 0.3936 0.08 0.0068 0.0066 0.0089 0.0087 0.0113 0.4325 0.4721 0.0003 0.0004 0.0250 0.0314 0.0244 0.0239 0.0307 0.0301 0.0392 0.0384 0.0375 0.0475 0.0485 0.0594 0.0582 0.07 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0146 0.0188 0.0465 0.0571 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3156 0.3520 0.3897 0.4286 0.4681 0.08 less than or equal to 5% of the 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09 Q X
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Step 2: Calculation of critical value
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Step 3: Calculation of confidence interval
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