Final Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following:  a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject h0). b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: Fewer than 90% of adults have a cell phone. The hypothesis test results in a p-value of 0.0003.

A claim is given. Select the corresponding null hypothesis and using a significance level of α = 0.05 and the given p-value, determine if you reject the null hypothesis or fail to reject the null hypothesis. Claim: Americans spend on average less than 8 minutes in the shower. Data: In a sample of Americans (n = 1,803), the average time spent in the shower is 7.8 minutes with a p-value of 0.0546. A. H0 :μ=8and we reject the null. B. H0 :μ=8and we fail reject the null. C. H0 :μ>8and we reject the null. D. H0 :μ>8and we fail reject the null. E. H0 :μ<8and we reject the null. F. H0 :μ<8and we fail reject the null.

The test statistic of z=1.54 is obtained when testing the claim that p=0.723. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a=0.10, should we reject H0 or should we fail to reject H0?

When conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…

Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 58% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1921. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. O A. Reject Ho because the P-value is greater than a. O B. Reject Ho because the P-value is less than or equal to a. O C. Fail to reject Ho because the P-value is less than or equal to a. O D. Fail to reject Ho because the P-value is greater than a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 58%. O B. There is not sufficient evidence to support…