In: Statistics and Probability
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 | 24 | 26 | 17 | 20 | 23 |
Copy Data
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 hypothesis 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 .01 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 .01 level of significance.
Step 10 of 10:
State the conclusion of the hypothesis test at the 0.01 level of significance.