The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager's theory at the0.005

0.005level of significance.

Swimmers at the City Pool

Monday Tuesday Wednesday Thursday Friday

Number 43 43 57 61 70

Step 1 of 4:State the null and alternative hypotheses in terms of the expected proportionfor each day.Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary.

H0:pi______

Ha:There is a difference in the number of swimmers from day to day.

Step 2 of 4:Calculate the expected value for the number of swimmers on Friday. Enter your answer as a fraction or a decimal rounded to three decimal places.

Step 3 of 4:Compute the value of the test statistic.Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.

Step 4 of 4:Draw a conclusion and interpret the decision.

Answer

A. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a

0.005level of significance that the daily number of swimmers varies on weekdays.

B, We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.005level of significance that the daily number of swimmers varies on weekdays.

C. We reject the null hypothesis and conclude that there is insufficient evidence at a

0.005level of significancethat the daily number of swimmers varies on weekdays.

D. We reject the null hypothesis and conclude that there is sufficient evidence at a0.005

level of significancethat the daily number of swimmers varies on weekdays.