Question
The police department in a certain municipality released the number of 9-1-1 calls received for the different days of the weekend. The expectation was that
The police department in a certain municipality released the number of 9-1-1 calls received for the different days of the weekend. The expectation was that each of three days of the weekend would receive equal numbers of 9-1-1 calls. The data shown below gives the actual number of 9-1-1 calls received on each of the three weekend days. A total of 218 calls was received over the whole weekend. You wish to test the claim that the days of the weekend have different frequencies of 911 calls at a significance level of =0.05. Follow the steps below to conduct the goodness-of-fit procedure. 1) Setup competing hypotheses (no answers for this part)
H0: The days of the weekend have the same frequencies of 911 calls
Ha: The days of the weekend have different frequencies of 911 calls
2a) Calculate the expected distribution along with the residuals (report your answers to 4 decimal places)
Day | Observed | Expected | Residuals |
---|---|---|---|
Friday | 79 | ||
Saturday | 82 | ||
Sunday | 57 |
2b) Calculate the test statistic (report your answer to 3 decimal places) 2 = 2c) Calculate the p-value (report your answer to 4 decimal places) p-value =
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