Question

please show work on ti 84

1. A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled.

Day Mon Tue Wed Thur Fri
Absences 37 15 12 23 43

2. Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent.

Yes No Undecided
Employed 30 15 5
Unemployed 20 25 10

3.Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. 24)

x 8 4 12 2 9

y 5 6 8 3 4

Answer 1

1) Ans
Hypothesis

Ho: The number of absences occurred does not depend on the day of the week.

H1: The number of absences occurred depends on the day of the week.

Day	Mon	Tue	Wed	Thur	Fri	Total
Absences (O)	37	15	12	23	43	130
Expected ( E)	26	26	26	26	26
(O-E)^2/E	4.65	4.65	7.54	0.35	11.12	28.31

The P-value for Chi-squar=28.31 at 5-1=4 degree of freedom is 0.000.

Decision: Reject the null hypothesis at the 0.05 significance level.

Conclusion: We can conclude that the claim of the company manager is rejected that absences occur on the different week-days with the same frequencies at the 0.05 significance level.