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# Hypothesis Testing of Mean & Population proportion

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University of Phoenix
RES 342 - Research and Evaluation II
Quiz 2
Date: Name: /
Instructor: Zarbi

1. A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?
a. State the null and alternate hypotheses.
H0: ____________________________________________________________________
H1: ____________________________________________________________________
b. State the decision rule.

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis? Interpret the result.

2. The Human Resources Director for a large company is studying absenteeism among hourly workers. A sample of 120 day shift employees showed 15 were absent more than five days last year. A sample of 80 afternoon employees showed 18 to be absent five or more times. At the 0.01 significance level can we conclude that there is a higher proportion of absenteeism among afternoon employees?
a. State the null and alternate hypotheses.
H0: _______________________
H1: _______________________

b. State the decision rule.
_____________________________________________________________________________

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis?

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