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Work through a t-test and Work through a chi-square test

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Using AIU's large database of survey responses (see attached files), complete all of the following:

Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Select one of the quantitative variables from the DataSet (include all 288 cases) and perform a t-test to determine if the Population mean is equal to 5.0. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

Work through a chi-square test to compare the expected and observed frequencies of two groups within our Unit 1 data set. One possible example is to compare the actual number of female and male participants in the data set. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

The Question must be Answered in the following format

Looking at the big picture for this course, you will research an article in the U4IP and then be asked in the U5IP if the U4 research corresponds to the findings in your U3IP. You might want to consider this as you select your comparisons for the U3IP. Also see the file U3IPsuggestedtests.xls found in the Instructor Files area of the Course Home page.

Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Please show as much work as possible.

1a) What have you decided to compare?

1b) What is the Null Hypothesis (in equation format) for your t-test?

1c) What is the Alternative Hypothesis (in equation format) for your t-test?

1d) What significance level did you use?

1e) What is the t-test statistic for this test? Show your calculation (work) that you used to arrive at the answer.

1f) What is the critical value for your test based on the significance level you selected? Describe how you arrived at this answer.

1g) Do you REJECT or FAIL TO REJECT the null hypothesis?

Work through a chi-square test to compare the expected and observed frequencies of two groups within our Unit 1 data set. One possible example is to compare the proportion of female and male participants in the data set. Please show as much work as possible.

2a) What have you decided to compare?

2b) What is the Null Hypothesis (in equation format) for your chi-square test?

2c) What is the Alternative Hypothesis (in equation format) for your chi-square test?

2d) What significance level did you use?

2e) What is the Chi Square statistic for this test? Show your calculation (work) that you used to arrive at the answer.

2f) What is the Critical Chi Square for the right tail? Show your calculation (work) that you used to arrive at the answer.

2g) What is the Critical Chi Square for the left tail? Show your calculation (work) that you used to arrive at the answer.

2h) Do you REJECT or FAIL TO REJECT the null hypothesis?

3) Use of assignment template

I will be using Male and Female Tenure for this project

Please show as much work as possible.

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Solution Summary

This solution works through a t-test and a chi-square test for the given data provided.

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