The medical researcher is comparing two treatments for lowering cholesterol: diet and meds. The researcher wants to see if the patients who receive the recommendation to change their diet have equal success lowering cholesterol compared to a prescription of meds. Arandom sample of some patients who received the recommendation to change their diet and others who were prescribed meds was taken. The results of how many did or did not lower their cholesterol are shown below: Data on Diet vs. Meds for Weight Loss Diet Meds Yes| 471 578 No | 203 184 What can be concluded at the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer V Select an answer V Select an answer (please enter a decimal) H1: Select an answer V Select an answer V Select an answer (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? V a e. Based on this, we should Select an answer f. Thus, the final conclusion is that .. (Please show your answer to 4 decimal places.) the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population of all patients who received the recommendation to change their diet is not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population of all patients who received the recommendation to change their diet is not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically insignificant at a = 0.01, so we can conclude that the success rate for all patients who receive the recommendation to change their diet is equal to the success rate for all patients who are prescribed meds. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the success rate for the 674 patients who received the recommendation to change their diet 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 their diet is the same as the success rate for the sample of patients who were prescribed meds and if another 674 patients are given the recommendation to change their diet and 762 patients are prescribed meds then there would be a 1.1% chance of concluding that the difference in the success rate for all patients who receive the recommendation to change their diet and all patients who are prescribed meds is at least 6%. O If the success rate for the population of patients who receive the recommendation to change their diet is the same as the success rate for the population of patients who are prescribed meds and if another 674 patients who are given the recommendation to change their diet and 762 patients who are prescribed meds are surveyed then there would be a 1.1% chance that the percent of the surveyed diet changers who lowered their cholesterol would differ at least 6% compared to the percent of the surveyed med takers who lowered their cholesterol. O 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 the change of diet recommendation and all patients who are prescribed meds is at least 6%.