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 the 0.0250.025 level of significance. Swimmers at the City Pool MondayTuesdayWednesdayThursdayFridayNumber41416868646457576969Copy Data Step 1 of 4:State the null and alternative hypotheses in terms of the expected proportion for each day. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. H0: pi=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯Step 2 of 4:Calculate the expected value for the number of swimmers on Tuesday. 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.

The categorical variable is day. We have to test whether there is a difference in the number of…

Answered: The manager of the city pool has…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

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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 the 0.0250.025 level of significance.

Swimmers at the City Pool

	Monday	Tuesday	Wednesday	Thursday	Friday
Number	4141	6868	6464	5757	6969

Copy Data

Step 1 of 4:

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

H0: pi=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Step 2 of 4:

Calculate the expected value for the number of swimmers on Tuesday. 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.

Expert Solution