(20 pts) A certain medicine is said to be effective in giving relief to people with allergic reactions to cats and dogs. A vet believes this claims is too high. In a random sample of people with allergies, people got relief. Is the vet correct at ? (a) State the hypotheses: ÿ TheChoose:sample meanpopulation meansample proportionpopulation proportionÿ of people who get relief from the medicineChoose:has no correlation withis consistent withis not consistent withis independent fromis dependent onhas a correlation withis less thanis greater thanisÿChoose:660.755%0.66100. ÿ TheChoose:sample proportionpopulation meansample meanpopulation proportionÿ of people who get relief from the medicineChoose:has no correlation withis greater thanis less thanhas a correlation withis consistent withisis independent fromis dependent onis not consistent withÿChoose:0.665%660.75100. (b) The correct symbol for mean of the sampling distribution is A. B. C. D. E. F. (c) The value for the mean of the sampling distribution is: . (d) Choose the correct distribution A. Chi-Square Distribution B. T-Distribution C. Normal Distribution Why? A. np > 5 and n(1-p) > 5 B. We are provided with . C. np > 30 and n(1-p) > 30. D. We are not provided with . (e) State the decision rule: Choose:Reject Ha and accept HoFail to reject HaReject Ho and accept Haat = % if the p-value of the sample statistic isChoose:greater than or equal to 0.05equal to 0.0005less than or equal to 0.05less than or equal to 0.0005greater than or equal to 0.0005equal to 0.05. (f) Experiment Symbol of the sample statistic: A. B. C. D. E. F. G. Value of the sample statistic rounded to 4 decimal places: P-value of the sample statistic rounded to 4 decimal places: (h) Conclusion Choose:Fail to reject HoReject Ha and accept HoReject Ho and accept HaFail to reject Haat = % (i) Answer the question Is the vet correct? A. No, the vet is not correct, because the proportion of people who got relief is significantly less than 75%. B. No, the vet is not correct, because the proportion of people who got relief is not significantly less than 75%. C. Yes, the vet is correct, because the proportion of people who got relief is significantly less than 75%. D. Yes, the vet is correct, because the proportion of people who got relief is not significantly less than 75%. (j) Type I Error If a type I error were made in this test, it would mean A. the proportion of people who get relief with the medicine really is not 75&, but we incorrectly rejected 75%. B. the proportion of people who get relief with the medicine really is 75%, but we incorrectly rejected 75%. C. the proportion of people who get relief with the medicine really is 75%, but we incorrectly failed to reject 75%. D. the proportion of people who get relief with the medicine really is not 75%, but we incorrectly failed to reject 75%. (k) Type 2 Error If a type 2 error were made in this test, it would mean A. the proportion of people who get relief with the medicine really is 75%, but we incorrectly rejected 75%. B. the proportion of people who get relief with the medicine really is not 75%, but we incorrectly rejected 75%. C. the proportion of people who get relief with the medicine really is 75%, but we incorrectly failed to reject 75%. D. the proportion of people who get relief with the medicine really is not 75%, but we incorrectly failed to reject 75%.