A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500 randomly selected people who rode a jet ski, 88.6 % wore life vests. Out of 400 randomly selected boaters, 93.5 % wore life vests. Using a 0.10 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not th same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2.
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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- Chi-sauare distribution table Question Viewer Degrees of Freedom 1 234569 7 8 10 0.995 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 0.99 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 Area to the Right of the critical value 0.975 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 0.95 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 I 0.90 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.362 14.684 15.987arrow_forwardA study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 400 randomly selected people who rode a jet ski, 88% wore life vests. Out of 250 randomly selected boaters, 82.4% wore life vests. Using a 0.01 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: p1=p2 Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.arrow_forwardA study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in…arrow_forward
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55,80 dream in black and white, and among 287 people under the age of 25, 14 dreams in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation?arrow_forwardA chemist measures the haptoglobin concentrations (in grams per liter) in the blood of eight healthy adults. Following are the values: 1.82 3.32 1.07 1.27 0.49 3.79 0.15 1.98 At the 2% significance level, test the claim that the mean haptoglobin concentration in adults is less than two grams per liter. What type of error could you have made in your decision?arrow_forwardA poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 310 139 36 Female 335 156 34 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Họ: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. 0.422 (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed.…arrow_forward
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? OA. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. OB. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to…arrow_forwardA professor wanted to determine if the GPAS of students at Saddleback College are less consistent than the GPAS of students at Irvine Valley College. To test this, he obtains random samples of students from both colleges and records their GPAS, which are given below. Test the professor's claim at the a=0.05 level of significance. Saddleback College Irvine Valley College 3.7 3.2 3.0 2.5 2.7 3.6 4.0 3.4 3.8 3.2 3.0 2.5 3.6 2.8 2.6 2.5 2.1 2.7 3.9 3.4 2.0 2.2 2.7 3.1 2.0 2.0 2.1 3.8 3.1 2.9 3.2 2.8 Calculator Function [ Select] [ Select] 2-PropZTest ANOVA X^2-Test T-Test 2-SampTTest 2-SampFTest [ Select] v sufficient evidence that the standard deviation of grades for Saddleback College students is [ Select] than the standard deviation for Irvine Valley College students.arrow_forwardA poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 334 156 48 Female 314 134 44 Click here to view the chi-square distribution table. Но The sex of the respondent and the choice for the cause of global warming are independent. Hy: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is…arrow_forward
- Can someone please answer d.) e.) and f.)arrow_forwardA poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________…arrow_forwardAn environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. B.A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?arrow_forward
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