The medical researcher is comparing two treatments for lowering cholesterol: diet and meds. Theresearcher wants to see if the patients who receive the recommendation to change their diet have equalsuccess lowering cholesterol compared to a prescription of meds. Arandom sample of some patients whoreceived the recommendation to change their diet and others who were prescribed meds was taken. Theresults of how many did or did not lower their cholesterol are shown below:Data on Diet vs. Medsfor Weight LossDietMedsYes| 471578No | 203|184What can be concluded at the a = 0.01 level of significance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answer v| Select an answer VSelect an answer v (please enter a decimal)H1: Select an answer v Select an answer vSelect an answer v (Please enter a decimal)b. The test statistic ? v=(please show your answer to 3 decimal places.)C. The p-value =d. The p-value is ?v ae. Based on this, we should Select an answer v the null hypothesis.f. Thus, the final conclusion is that ...(Please show your answer to 4 decimal places.)O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the population of all patients who received the recommendation to change their diet isnot equally likely to lower their cholesterol as the population of patients who are prescribedmeds.O The results are statistically insignificant at a = 0.01, so there is insufficient evidence toconclude that the population of all patients who received the recommendation to change theirdiet is not equally likely to lower their cholesterol as the population of patients who areprescribed meds.O The results are statistically insignificant at a = 0.01, so we can conclude that the success ratefor all patients who receive the recommendation to change their diet is equal to the successrate for all patients who are prescribed meds.O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the success rate for the 674 patients who received the recommendation to change theirdiet is different from the success rate for the 762 patients who were prescribed meds.g. Interpret the p-value in the context of the study.Olf the success rate for the sample of patients who receive the recommendation to change theirdiet is the same as the success rate for the sample of patients who were prescribed meds andif another 674 patients are given the recommendation to change their diet and 762 patientsare prescribed meds then there would be a 1.1% chance of concluding that the difference inthe success rate for all patients who receive the recommendation to change their diet and allpatients who are prescribed meds is at least 6%.O If the success rate for the population of patients who receive the recommendation to changetheir dietmeds and if another 674 patients who are given the recommendation to change their diet and762 patients who are prescribed meds are surveyed then there would be a 1.1% chance thatthe percent of the surveyed diet changers who lowered their cholesterol would differ at least6% compared to the percent of the surveyed med takers who lowered their cholesterol.the same as the success rate for the population of patients who are prescribedO There is a 1.1% chance of a Type I error.O There is a 1.1% chance that the difference in the success rate for all patients who receive thechange of diet recommendation and all patients who are prescribed meds is at least 6%.h. Interpret the level of significance in the context of the study.O If the success rate for the population of patients who receive the recommendation to changetheir diet is the same as the success rate for the population of patients who are prescribedmeds and if another 674 patients who are given the recommendation to change their diet and762 patients who are prescribed meds are surveyed then there would be a 1% chance that wewould end up falsely concuding that the proportion of the 674 patients who received the dietchange recommendation who lowered their cholesterol is different from the proportion of the762 patients who were prescribed meds who lowered their cholesterol.O If the success rate for the population of patients who receive the recommendation to changetheir diet is the same as the success rate for the population of patients who are prescribedmeds and if another 674 patients who are given the recommendation to change their diet and762 patients who are prescribed meds are surveyed then there would be a 1% chance that wewould end up falsely concuding that the success rate for the population of patients whoreceive the recommendation to change their diet is different from the success rate for thepopulation of patients who are prescribed meds.O There is a 1% chance that a patient won't be able to afford the meds, so they might as wellchange their diet.

Question

Accepted Answer

We have to perform the Z test for equality of two proportions.