A telephone company claims that the service calls which they receive are equally

Question

A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 109 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day? Days of the WeekMon Tue Wed Thu Fri Number of Calls262225 22 14 Copy Data Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category Answer 2 Points Keypad Ha: There is some difference amongst the proportions

Explanation / Answer

null hypothesis: Ho: Pi =1/5

here applying chi square goodness of fit:

expected value for service calls on Monday =21.80

expected value for service calls on Tuesday =21.80

value of the test statistic =4.073

degrees of freedom =categories-1=5-1 =4

critical value =7.779

as test statistic is not greater then critical value ; we fail to reject null hypothesis

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E mon 1/5 26.000 21.80 0.81 tue 1/5 22.000 21.80 0.00 wed 1/5 25.000 21.80 0.47 thu 1/5 22.000 21.80 0.00 fri 1/5 14.000 21.80 2.79 1 109 109 4.0734

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