11.22 Footfall by quarters Based on a random sample of 1098 customers at a grocery store, the table shows how many arrived in the first, second, third, and fourth quarter of the year. Is there evidence that the probabilities of arrival of customers in a given quarter are not equal?

a. Formulate the null and alternative hypotheses.

b. Find the expected values and compute the chi-squared statistic, either by hand or using software.

c. How many degrees of freedom is the test based on?

d. Find the P-value and write a conclusion in context.

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Jan-Mar Apr-Jun Footfall Jul-Sep Oct-Dec n 198 340 318 242 1098