Please find the test statistics, X 2 and P-value for the folllowing problem: You

Question

Please find the test statistics, X2 and P-value for the folllowing problem:

You can use any technology to find the answer but please try it with Excel.

A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Mon Tues Wed Thurs Sat Day Sun 201 208 Frequency 156 225 249 233 Ho: Police calls occur with the same frequency on the different days of the week. H1: At least one day has a different frequency of calls than the other days. Calculate the test statistic, X X (Round to three decimal places as needed.) Calculate the P-value. P-value E Round to four decimal places as needed

Explanation / Answer

Total number of calls = 156 + 201 + 225 + 249 + 177 + 208 + 233 = 1449

So,

Expected frequencies = 1449 / 7 = 207

Now we have the values of Oi's and Ei's with which you can calculate the chi square value.

The statististical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: var14
Expected: All cells in equal proportion

Hence,

Chi - square = 30.444

p - value = 0.0000

N DF Chi-Square P-value 1449 6 30.444444 <0.0001

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