In: Math
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 79 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 | Tues | Wed | Thurs | Fri |
Number of calls | 18 | 14 | 15 | 18 | 14 |
Step 1 of 10 : State the null and alternative hypothesis.
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 Thursday. 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 0.005 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 0.005
level of significance.
Step 10 of 10 : State the conclusion of the hypothesis test at the 0.005 level of significance.
10) Ans: There is not enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day