Chris is a salesperson who makes five sales calls each day to potential customers. Either the customers make a purchase from Chris or they do not. The following table shows the number of days over the past 400 that Chris had 0, 1, 2, 3, 4, or 5 purchases per day.

a. Using α = 0.05, perform a chi-square test to determine if the number of purchases per day follows the binomial probability distribution, with the probability of a customer making a purchase being equal to 25%.

b. Determine the p_value using Excel and interpret its meaning.

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Number of Purchases Per Day 5 Frequency 98 157 106 36 400 Total