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Medicare would like to test the hypothesis that the average monthly rate for one- bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted- living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set a = 0.05. Which one of the following statements is true? a. Because the p-value is less than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is not equal to $3,300. O b. Because the p-value is less than alpha, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300. c. Because the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is equal to $3,300. Od. Because the p-value is greater than alpha, we fail to reject the null hypothesis and cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Medicare would like to test the hypothesis that the average monthly rate for one- bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted- living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set a = 0.05. Which one of the following statements is true? a. Because the p-value is less than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is not equal to $3,300. O b. Because the p-value is less than alpha, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300. c. Because the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is equal to $3,300. Od. Because the p-value is greater than alpha, we fail to reject the null hypothesis and cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

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
Section10.4: Distributions Of Data
Problem 19PFA
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Medicare would like to test the hypothesis that the average monthly rate for one- bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted- living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set a = 0.05. Which one of the following statements is true? O a. Because the p-value is less than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is not equal to $3,300. O b. Because the p-value is less than alpha, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300. c. Because the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is equal to $3,300. O d. Because the p-value is greater than alpha, we fail to reject the null hypothesis and cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
Transcribed Image Text:Medicare would like to test the hypothesis that the average monthly rate for one- bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted- living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set a = 0.05. Which one of the following statements is true? O a. Because the p-value is less than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is not equal to $3,300. O b. Because the p-value is less than alpha, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300. c. Because the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is equal to $3,300. O d. Because the p-value is greater than alpha, we fail to reject the null hypothesis and cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
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