Question

Please show using TI-83 if possible Employers want to know which days of the week employees...

Please show using TI-83 if possible

Employers want to know which days of the week employees are absent in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 77 managers were asked on which day of the week they had the highest number of employee absences. The results were distributed as in Table. For the population of employees, do the days for the highest number of absences occur with equal frequencies during a five-day work week? Test at a 0.05% significance level.

Day Observed
Frequency
Monday 20
Tuesday 6
Wednesday 16
Thursday 18
Friday 17

What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.)
χ2=χ2=

What are the degrees of freedom for this test?
d.f. =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =


The p-value is...

Homework Answers

Answer #1
Game Observed Frequency(O) Expected Probability Expected Frequency ( E) ( O-E)^2 ( O-E)^2/E
Monday 20 0.2 15.4 21.16 1.374025974
Tuesday 6 0.2 15.4 88.36 5.737662338
Wednesday 16 0.2 15.4 0.36 0.023376623
Thursday 18 0.2 15.4 6.76 0.438961039
Friday 17 0.2 15.4 2.56 0.166233766
Total 77 1 77 119.2 7.74025974

What is the chi-square test-statistic for this data?

= 7.740

What are the degrees of freedom for this test?

df = n - 1 = 5 - 1 = 4

What is the p-value for this sample?

p-value = 0.1016

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