1. Math
2. Statistics And Probability
3. employers want to know which days of the week employees...

# Question: employers want to know which days of the week employees...

###### Question details

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 91 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 23
Tuesday 21
Wednesday 14
Thursday 23
Friday 10

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...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null
• accept the alternative

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that all 5 days of the week are equally likely to be selected.
• There is not sufficient evidence to warrant rejection of the claim that all 5 days of the week are equally likely to be selected.
• The sample data support the claim that all 5 days of the week are equally likely to be selected.
• There is not sufficient sample evidence to support the claim that all 5 days of the week are equally likely to be selected.