# Hypothesis Testing of Mean & Population proportion

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?

Attached

Â© BrainMass Inc. brainmass.com March 4, 2021, 9:51 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-of-mean-population-proportion-276972

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.