Question

multiple choice 4 points
determine the expected count under the null hypothesis.
a local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to perform a chi - square goodness - of - fit test at a 5% significance level.
frequency table: monday = 40, tuesday = 33, wednesday = 35, thursday = 32, friday = 60, total = 200
provided the assumptions of the test are satisfied, determine the expected number of customers served each day under the null hypothesis.

Explanation:

Step1: Calculate expected frequency formula

The formula for expected frequency \(E=\frac{\text{Total}}{\text{Number of categories}}\). Here, total \(n = 200\) and number of categories \(k=5\) (Monday - Friday).

Step2: Compute expected frequency

Using the formula \(E=\frac{200}{5}\)
\(E = 40\)

Answer:

40