Question

Timerl 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 less success lowering cholesterol compared to a prescription of meds. A random 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 es 508 711 No 133 141 What can be concluded at the 0.01 level of significance? For this study, we should use Select an e a. The null and alternative hypotheses would be: a Select an oe7 Select an answer (please enter a decimal) Select an answer Select an answer (Please enter a decimal) (please show your answer to 2 decimal places) b. The test statistic - e. The p-value d. The p-value is 7 e. Based on this, we should Select an answerthe null hypothesis. f. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) The results are statistically insignificant at o -0.01, so we can conclude that the success rate for all patients who receive the reconmendation to change their diet is equal to the success rate for all patients who are prescribed meds 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 less likely to lower their cholesterol than the population of patients who are prescribed meds Thus, the final conclusion is that be results are statistically insignificant at α 0.01, so we can conclude that de success rate success rate for all patients who are prescribed meds. r all patients who receive t e rocommen tion to change their det s o al to the OThe results are ly 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 less likely to lower their cholesterol than the population of patients who are prescribed meds The results are statistically significant at α-ool, so there is su cent evidence to conclude that the population of all patients who received the recommendation to change their fict is less likely to lower their cholesterol than the population of patients who are prescribed meds The results are statistically significant at α 001, so there is sufficient evidence to conclude that the success rate or the 641 patients who received the r change their diet is less than the success rate for the 852 patients who were prescribed meds. g Interpret the p-value in the context of the study 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 641 patients who are given the recommendation to change their diet and 852 patients who are prescribed meds are surveyed then there would be al 9% chance that the percent of the surveyed det changers who lowered their cholesterol would be a least 42% ower th n the percent of the surveyed mod takers who lowered their cholesterol. -There is a 1.9%chance ofa Type I error. There is a l 9% chance that patients who receive the change of diet recommendation are 42% less likely to lower their cholesterol an patients who are prescribed mods. If the suocess rate for the sample of patients who receive the reconmendation to change their diet is the same as the saccess rate for the sample of patients who were prescribed meds and if another 64! patients are given the recommendation to change their diet and 852 patients are prescribed meds then there would be a 1.9% chance of concluding that the success rate for all patients who receive the recommendation to change their diet is at leasur% smaller than the succes ne br patins who are prerbed med h. Interpret the level of significance in the context of the study If the success rate for the population of patients who roceive the rocommendation to change their dict is the same as the success rate for the population of patients who are prescribed meds and if another 641 patients who are given the recommendation to change their diet and 852 patients who are prescribed meds are surveyed then there would be a l% chance that we would end up false y concuding that de success rate for the population of patients who receive the recommendation to change their deth less than the success rate for the population of patients who are prescribed meds If the success race for the population of patients who receive the recommendation to change their dict is the same as the success rate for the population of patients who are prescribed mods and if another 641 patients who are given the rocommendation to change their diet and 852 patients who are prescribed meds are surveyed then there would be a 1% chance that we would end up falsely co e dag that the peop tion of the641 patients who received the diet change ree mendation who lowered ther doleter is less than the proportion of the 852 pationts who were prescribed meds who lowered their cholesterol -There isa 1% chance that a patient wont be able to ated the mods, so they might as well change their diet. Hint: Heipful Video Textbook Pages Hints 9

Answer 1

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