A telephone company claims that the service calls which theyreceive are equally distributed among the five working days of theweek. A survey of 8080 randomly selected service calls wasconducted. Is there enough evidence to refute the telephonecompany's claim that the number of service calls does not changefrom day-to-day?
| Days of the Week | Mon | Tue | Wed | Thu | Fri |
|---|
| Number of Calls | 1919 | 1212 | 1313 | 1717 | 1919 |
|---|
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Step 1 of 10:
State the null and alternative hypothesis.
H0H0: Service calls are not equally distributed over the fiveworking days.
HaHa: Service calls are equally distributed over the fiveworking days.
or
H0H0: Service calls are equally distributed over the fiveworking days.
HaHa: Service calls are not equally distributed over the fiveworking days.
Step 2 of 10:
What does the null hypothesis indicate about the proportions ofservice calls received each day?
The proportions of service calls received each day are allthought to be equal.
or
The proportions of service calls received each day are differentfor each category (and equal to the previously acceptedvalues).
Step 3 of 10:
State the null and alternative hypothesis in terms of theexpected proportions for each category.
Ho:Pi=
Step 4 of 10:
Find the expected value for the number of service calls receivedon Monday. Round your answer to two decimal places.
Step 5 of 10:
Find the expected value for the number of service calls receivedon Thursday. Round your answer to two decimal places.
Step 6 of 10:
Find the value of the test statistic. Round your answer to threedecimal places.
Step 7 of 10:
Find the degrees of freedom associated with the test statisticfor this problem.
Step 8 of 10:
Find the critical value of the test at the 0.0250.025 level ofsignificance. Round your answer to three decimal places.
Step 9 of 10:
Make the decision to reject or fail to reject the nullhypothesis at the 0.0250.025 level of significance.
Fail to Reject Null Hypothesis
or
Reject Null Hypothesis
Step 10 of 10:
State the conclusion of the hypothesis test at the 0.0250.025level of significance.
There is not enough evidence to refute the claim that theservice calls are distributed evenly among the days.
or
There is enough evidence to refute the claim that the service callsare distributed evenly among the days.
