An online poll asked: "Do you believe the Loch Ness monster exists?" Among
20,660 responses, 64% were "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
The test statistic for this hypothesis test is _____rounding to two decimal places.
The P-value for this hypothesis test is _____
state a final conclusion _____
Review the requirements for testing a claim about a population proportion using the normal approximation method given above and determine if there are any issues with the way the sample was obtained.
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- Regarding the power of a hypothesis test: a. What does it represent?b. Whathappens to the power of a hypothesis test if the significance level is kept at 0.01 while the sample size is increased from 50 to 100?arrow_forward2. A marketing manager for a phone company claims that 55% of children ages 8-12 have their own cell phones. In a random survey of 802 children ages 8-12, 460 of them had phones. Conduct a hypothesis test for the manager's claim. Use a x= 0.05 significance level. a. Write the null and alternative hypothesis b. Find the test statistic (2 decimal places) c. Find the p-value (4 decimal places) d. Decision: reject or fail to reject? Why? e. Conclusion in context of the problem Calculator Commandarrow_forwardSuppose 221 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho p=0.20 H₁: p 0.20 OB. Ho: p>0.20 H₁: p=0.20 C. Ho: p=0.20 H₁: p>0.20 OD. Ho p=0.20 H₁: p<0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)arrow_forward
- An online poll asked: "Do you believe the Loch Ness monster exists?" Among 22,213 responses, 64% were "yes." Use a 0.10 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond? 1) Find the test statistic 2) Find the P-valuearrow_forwardSuppose 247 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.20 H₁: p=0.20. O B. Ho: p=0.20 H₁: p0.20 H₁: p=0.20 O D. Ho: p=0.20 H₁: p > 0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O B. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O C. Fail to reject Ho. There is not…arrow_forwardIn a program designed to help patients stop smoking, 177 patients were given sustained care, and 83.6% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.8 H1:p0.8 O C. Ho: p#0.8 H1: p = 0.8 D. Ho: p= 0.8 H;:p#0.8 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 1.20 (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)arrow_forward
- The table to the right includes results from polygraph experiments. In each case, it was known if the subject lied or not, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truths and lies? State the null and the alternative hypotheses. Choose the correct answer below. O A. Ho: The row and column variables are independent. H₂: The row and column variables are dependent. OB. Ho: At least one of the values is different from the others. Ha: All values in the table are equal. OC. Ho: All values in the table are equal. Ha: At least one of the values is different from the others. Polygraph indicated that subject lied Polygraph indicated that subject did not lie O D. Ho: The row and column variables are dependent. H₂: The row and column variables are independent. Did the subject…arrow_forwardAn online poll asked: "Do you believe the Loch Ness monster exists?" Among 20,841 responses, 61% were "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond? Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists. O C. Fail to reject Hp: There is not sufficient…arrow_forwardConsider a drug testing company that provides a test for marijuana usage. Among 250 tested subjects, results from 28 subjects were wrong. (Either false positive or a false negative). Use 0.05 significance level to test the claim that less than 10% of the test results are wrong. A. Identify the bull and the alternative hypothesis for the test. B. Identify the test statistic for this hypothesis test. C. Identify the P Value for this hypothesis test. D. Identify the conclusion for this hypothesis testarrow_forward
- Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. D. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. Do the results support the belief that 51.1% of newborn babies are boys? O A. The results support the belief that 51.1% of newborn babies are boys because there was no evidence to show that the belief is untrue. O B. The results do not support the belief that 51.1% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue. OC. The results support the belief that 51.1% of newborn babies are boys because there was…arrow_forwardAn online poll asked: "Do you believe the Loch Ness monster exists?" Among 22,346 responses, 69%were "yes." Use a 0.01significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond? b.) Identify the test statistic for this hypothesis test. c.) Fine the P-value for this hypothesis test. d.) Identify the conclusion of this hypothesis test.arrow_forwardIn a program designed to help patients stop smoking, 173 patients were given sustained care, and 80.9% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho p=0.8 H1 p0.8 O C. Ho p=0.8 H1 p 0.8 O D. Ho p 0.8 Hiip=0.8arrow_forward
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