MATH 17282-In a hypothesis test, if the computed Pvalue
In a hypothesis test, if the computed Pvalue is greater than a specified level of significance, then we a) reject the null hypothesis.b) fail to reject the null hypothesis.c) retest with a different sample. Review Later Question 2A onesided significance test gives a Pvalue of .03. From this we can a) Say that the probability that the null hypothesis is true is .03.b) Reject the null hypothesis with 96% confidence.c) Reject the null hypothesis with 97% confidence.d) Say that the probability that the null hypothesis is false is .03. Review Later Question 3It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. We want totest the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test.a) Ho: ? = 98, Ha: ? ? 98b) Ho: ? = 98, Ha: ? > 98c) Ho: ? = 100, Ha: ? < 100d) Ho: ? = 100, Ha: ? > 100e) Ho: ? = 98, Ha: ? < 98Review Later Question 4It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. Are the results significant at the 5% level? a) No, we should fail to reject Ho.b) Yes, we should reject Ho.Review Later Question 5Based on information from a large insurance company, 66% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher thanthe national percent reported by the large insurance company? State the null and alternate hypothesis.a) Ho: p = .66, Ha: p ? .66b) Ho: p = .81, Ha: p < .81c) Ho: p = .66, Ha: p > .66d) Ho: p = .66, Ha: p < .66e) Ho: p = .81, Ha: p > .81 Review Later Question 6Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher thanthe national percent reported by the large insurance company? Give the test statistic and your conclusion.a) z = 1.461; reject Ho at the 5% significance levelb) z = 0.961; reject Ho at the 5% significance levelc) z = 1.461; fail to reject Ho at the 5% significance leveld) z = 0.961; fail to reject Ho at the 5% significance level e) z = 1.461; fail to reject Ho at the 5% significance level Review Later Question 7Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with ? = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population.State the null and alternate hypothesis. a) Ho: ? = 18.3, Ha: ? < 18.3b) Ho: ? = 18.3, Ha: ? > 18.3c) Ho: ? = 14, Ha: ? < 14d) Ho: ? = 14, Ha: ? > 14e) Ho: ? = 14, Ha: ? ? 14Review Later Question 8Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with ? = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population.Give the pvalue and interpret the results. a) p = .0762; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level.b) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level.c) p = .0001; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level.d) p = .001; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level.e) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. Review Later Question 9An experimenter flips a coin 100 times and gets 41 heads. Test the claim that the coin is fair against the twosided claim that it is not fair at the level ?=.01. a) Ho: p = .5, Ha: p ? .5; z = 1.83; Fail to reject Ho at the 1% significance level.b) Ho: p = .5, Ha: p ? .5; z = 1.80; Reject Ho at the 1% significance level.c) Ho: p = .5, Ha: p ? .5; z = 1.80; Fail to reject Ho at the 1% significance level.d) Ho: p = .5, Ha: p < .5; z = 1.80; Reject Ho at the 1% significance level.e) Ho: p = .5, Ha: p < .5; z = 1.83; Fail to reject Ho at the 1% significance level.Review Later Question 10In a experiment on relaxation techniques, subject’s brain signals were measured before and after the relaxation exercises with the following results:Person 1 2 3 4 5 Before 32 38 66 52 28 After 26 36 57 48 23 Assuming the population is normally distributed, is there sufficientevidence to suggest that the relaxation exercise slowed the brain waves? (Use ?=0.05)a) Reject the null hypothesis which states there is no change in brain waves in favor of the alternate which states the brain waves slowed after relaxation.b) There is not enough information to make a conclusion.c) Fail to reject the null hypothesis which states there is no change in brain waves. Review Later Question 11An auditor for a hardware store chain wished to compare the efficiency of two different auditing techniques. To do this he selected a sample of nine store accounts and applied auditing techniques A and B to each of the nine accounts selected. The number of errors found in each of techniques A and B is listed in the table below:Errors in A2730283034323122 Errors in B1319211936273123 27 32 Does the data provide sufficient evidence to conclude that the number of errors in auditing technique A is greater than the number of errors in auditing technique B at the 0.1 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic]. (Hint: the samples are dependent)a) [?D > 0, 1.976]b) [?D ? 0, 1.976]c) [?D > ?1, 1.976]d) [A > B, 1.976]e) [?D = 0, 1.976]f) None of the aboveReview Later Question 12An auditor for a hardware store chain wished to compare the efficiency of two different auditing techniques. To do this he selected a sample of nine store accounts and applied auditing techniques A and B to each of the nine accounts selected. The number of errors found in each of techniques A and B is listed in the table below:Errors in A45484648525049 Errors in B31373937544549 4045 4150 Does the data provide sufficient evidence to conclude that the number of errors in auditing technique A is fewer than the number of errors in auditing technique B at the 0.1 level of significance? Select the [Rejection Region, Decision of Reject (RH0) or Failure to Reject (FRH0)]. (Hint: the samples are dependent)a) [t < 1.4, FRH0]b) [t > 1.4, FRH0]c) [t < 1.4 and t < 1.4, RH0]d) [z < 1.4 and z < 1.4, FRH0]e) [t < 1.4 or t < 1.4, RH0]f) None of the aboveReview Later Question 13Failing to reject a false null hypothesis is classified as a a) Type II errorb) Powerc) Type I error
