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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. 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 Yes No 419 187 What can be concluded at the = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: b. The test statistic ? ✓ = c. The p-value = Select an answer ✓ Meds 446 265 Ho: Select an answer Select an answer H₁: Select an answer ✓ Select an answer ✓ Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

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. 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 Yes No 419 187 What can be concluded at the = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: b. The test statistic ? ✓ = c. The p-value = Select an answer ✓ Meds 446 265 Ho: Select an answer Select an answer H₁: Select an answer ✓ Select an answer ✓ Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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. 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 Yes 419 No 187 What can be concluded at the α = 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 ✓ H₁: Select an answer b. The test statistic ? | = c. The p-value: d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ….. = Select an answer ✓ Meds 446 265 Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. 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 not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically insignificant at a = 0.10, 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. 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 not equally likely to lower their cholesterol as the population of patients who are prescribed meds.
Transcribed Image Text: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. 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 Yes 419 No 187 What can be concluded at the α = 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 ✓ H₁: Select an answer b. The test statistic ? | = c. The p-value: d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ….. = Select an answer ✓ Meds 446 265 Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. 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 not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically insignificant at a = 0.10, 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. 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 not equally likely to lower their cholesterol as the population of patients who are prescribed meds.
g. Interpret the p-value in the context of the study. 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 606 patients who are given the recommendation to change their diet and 711 patients who are prescribed meds are surveyed then there would be a 1.46% chance that the percent of the surveyed diet changers who lowered their cholesterol would differ at least 6.4% compared to the percent of the surveyed med takers who lowered their cholesterol. 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 606 patients are given the recommendation to change their diet and 711 patients are prescribed meds then there would be a 1.46% 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 6.4%. There is a 1.46% 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 6.4%. There is a 1.46% chance of a Type I error. h. Interpret the level of significance in the context of the study. 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 606 patients who are given the recommendation to change their diet and 711 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 different from 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 606 patients who are given the recommendation to change their diet and 711 patients who are prescribed meds are surveyed then there would be 10% chance that we would end up falsely concuding that the proportion of the 606 patients who received the diet change recommendation who lowered their cholesterol is different from the proportion of the 711 patients who were prescribed meds who lowered their cholesterol.
Transcribed Image Text:g. Interpret the p-value in the context of the study. 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 606 patients who are given the recommendation to change their diet and 711 patients who are prescribed meds are surveyed then there would be a 1.46% chance that the percent of the surveyed diet changers who lowered their cholesterol would differ at least 6.4% compared to the percent of the surveyed med takers who lowered their cholesterol. 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 606 patients are given the recommendation to change their diet and 711 patients are prescribed meds then there would be a 1.46% 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 6.4%. There is a 1.46% 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 6.4%. There is a 1.46% chance of a Type I error. h. Interpret the level of significance in the context of the study. 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 606 patients who are given the recommendation to change their diet and 711 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 different from 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 606 patients who are given the recommendation to change their diet and 711 patients who are prescribed meds are surveyed then there would be 10% chance that we would end up falsely concuding that the proportion of the 606 patients who received the diet change recommendation who lowered their cholesterol is different from the proportion of the 711 patients who were prescribed meds who lowered their cholesterol.
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