The following data was calculated during a study on business owners. Now find the critical value(s) and sketch the rejection region in order to interpret the results for this hypothesis test:
• A franchise owner would like to test the claim that the average number of stores run by a single owner is different than 12 stores.
• Significance level = 0.05
• Sample size = 21 business owners
• Test statistic $t_0$ = -0.96
Use the curve below to help visualize your answer. Select the correct sample size by dragging the black point along the slider and the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram. Then, set the critical value(s) on the x-axis to select the appropriate answer.
n=26
Move the blue dot to choose the appropriate test
test statistic = 0
Select the correct answer below:
Fail to reject $H_0$. There is NOT strong evidence to conclude that the average number of stores run by a single owner is different than 12 stores.
Fail to reject $H_0$. There is strong evidence to conclude that the average number of stores run by a single owner is different than 12 stores.
Reject $H_0$. There is strong evidence to conclude that the average average number of stores run by a single owner is different than 12 stores.
Reject $H_0$. There is NOT strong evidence to conclude that the average number of stores run by a single owner is different than 12 stores.