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 Meds 528 249 Diet Yes 362 No 199 what can be concluded at the a =0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H: Select an answer Select an answer Select an answer | (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) C. The p-value = (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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. 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| 362
528
No | 199
249
What can be concluded at the a = 0.10 level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer
Select an answer
Select an answer
(please enter a decimal)
H1: Select an answer V
Select an answer v (Please enter a decimal)
Select an answer V
b. The test statistic
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ? va
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 insignificant at a = 0.10, 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.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the success rate for the 561 patients who received the recommendation to change their
diet is less than the success rate for the 777 patients who were prescribed meds.
O The results are statistically significant at a = 0.10, so there is sufficient 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.
O The results are statistically insignificant at a= 0.10, 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.
3. Interpret the p-value in the context of the study.
O There is a 9.5% chance of a Type i error.
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 561 patients who are given the recommendation to change their diet and
777 patients who are prescribed meds are surveyed then there would be a 9.5% chance that
the percent of the surveyed diet changers who lowered their cholesterol would be at least
3.4% lower than the percent of the surveyed med takers who lowered their cholesterol.
O There is a 9.5% chance that patients who receive the change of diet recommendation are 3.4%
less likely to lower their cholesterol than patients who are prescribed meds.
O if 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 561 patients are given the recommendation to change their diet and 777 patients
are prescribed meds then there would be a 9.5% chance of concluding that the success rate for
all patients who receive the recommendation to change their diet is at least 3.4% smaller than
the success rate for patients who are prescribed meds.
h. Interpret the level of significance in the context of the study.
O There is a 10% chance that a patient won't be able to afford the meds, so they might as well
change their diet.
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 561 patients who are given the recommendation to change their diet and
777 patients who are prescribed meds are surveyed then there would be a 10% chance that we
would end up falsely concuding that the success rate for the population of patients who
receive the recommendation to change their diet is less than the success rate for the
population of patients who are prescribed meds.
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 561 patients who are given the recommendation to change their diet and
777 patients who are prescribed meds are surveyed then there would be a 10% chance that we
would end up falsely concuding that the proportion of the 561 patients who received the diet
change recommendation who lowered their cholesterol is less than the proportion of the 777
patients who were prescribed meds who lowered their cholesterol.
Transcribed Image Text: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. 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| 362 528 No | 199 249 What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H1: Select an answer V Select an answer v (Please enter a decimal) Select an answer V b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? va 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 insignificant at a = 0.10, 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. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the success rate for the 561 patients who received the recommendation to change their diet is less than the success rate for the 777 patients who were prescribed meds. O The results are statistically significant at a = 0.10, so there is sufficient 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. O The results are statistically insignificant at a= 0.10, 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. 3. Interpret the p-value in the context of the study. O There is a 9.5% chance of a Type i error. 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 561 patients who are given the recommendation to change their diet and 777 patients who are prescribed meds are surveyed then there would be a 9.5% chance that the percent of the surveyed diet changers who lowered their cholesterol would be at least 3.4% lower than the percent of the surveyed med takers who lowered their cholesterol. O There is a 9.5% chance that patients who receive the change of diet recommendation are 3.4% less likely to lower their cholesterol than patients who are prescribed meds. O if 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 561 patients are given the recommendation to change their diet and 777 patients are prescribed meds then there would be a 9.5% chance of concluding that the success rate for all patients who receive the recommendation to change their diet is at least 3.4% smaller than the success rate for patients who are prescribed meds. h. Interpret the level of significance in the context of the study. O There is a 10% chance that a patient won't be able to afford the meds, so they might as well change their diet. 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 561 patients who are given the recommendation to change their diet and 777 patients who are prescribed meds are surveyed then there would be a 10% chance that we would end up falsely concuding that the success rate for the population of patients who receive the recommendation to change their diet is less than the success rate for the population of patients who are prescribed meds. 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 561 patients who are given the recommendation to change their diet and 777 patients who are prescribed meds are surveyed then there would be a 10% chance that we would end up falsely concuding that the proportion of the 561 patients who received the diet change recommendation who lowered their cholesterol is less than the proportion of the 777 patients who were prescribed meds who lowered their cholesterol.
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