Question

A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 110 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day?

Days of the Week	Mon	Tue	Wed	Thu	Fri
Number of Calls	26	22	19	24	19

Copy Data

Step 1 of 10:

State the null and alternative hypotheses.

Step 2 of 10:

What does the null hypothesis indicate about the proportions of service calls received each day?

Step 3 of 10:

State the null and alternative hypotheses in terms of the expected proportions for each category.

Step 4 of 10:

Find the expected value for the number of service calls received on Monday. Round your answer to two decimal places.

Step 5 of 10:

Find the expected value for the number of service calls received on Tuesday. Round your answer to two decimal places.

Step 6 of 10:

Find the value of the test statistic. Round your answer to three decimal places.

Step 7 of 10:

Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10:

Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.

Step 9 of 10:

Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.

Step 10 of 10:

State the conclusion of the hypothesis test at the 0.025 level of significance.

Answer 1

There is no enough evidence to reject null hypothesis at 0.025 level.

Therefore the expected number of calls and observed number of call are the same.