Question

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...

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