You want to start by determining whether you are interested in working with a mean or a proportion. Then identify each of the parts listed below. In order to use the formulas for a hypothesis test we first need to confirm that the sample size requirements for the Central Limit Theorem are satisfied. See the notes for more information. If the sample size is not met, acknowledge that you need to proceed with caution. Identify the null and alternative hypotheses. The null hypothesis will be listed first. Calculate the appropriate test statistic. When working with proportions, you will calculate a z-statistic. When working with means, you will calculate a t-statistic. Compare your test statistic to the appropriate distribution to find the p-value. Conclude the test in context of the problem. For each of the problems below, use the online applications in the notes to conduct the hypothesis test. In your response provide all of the steps listed above. For the test statistic and p-value you do not need to show your work; you only need to give the values provided by the applications. A study was conducted to see if there was a difference in how men and women feel about animal testing. A random sample of 55 women was selected and asked to rank how they felt about animal testing on a 10-point scale, where a score of 1 represented strong opposition and a score of 10 represented strong support. The mean score of the sample was 4.5 with a standard deviation of 0.7. A random sample of 75 men was selected and asked to rank how they felt about animal testing on a 10-point scale, where a score of 1 represented strong opposition and a score of 10 represented strong support. The mean score of the sample was 5.2 with a standard deviation of 0.9. Test the claim that there is a difference in how men and women feel about animal testing. Use α = 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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You want to start by determining whether you are interested in working with a mean or a proportion. Then identify each of the parts listed below.

In order to use the formulas for a hypothesis test we first need to confirm that the sample size requirements for the Central Limit Theorem are satisfied. See the notes for more information. If the sample size is not met, acknowledge that you need to proceed with caution.
Identify the null and alternative hypotheses. The null hypothesis will be listed first.
Calculate the appropriate test statistic. When working with proportions, you will calculate a z-statistic. When working with means, you will calculate a t-statistic.
Compare your test statistic to the appropriate distribution to find the p-value.
Conclude the test in context of the problem.

For each of the problems below, use the online applications in the notes to conduct the hypothesis test. In your response provide all of the steps listed above. For the test statistic and p-value you do not need to show your work; you only need to give the values provided by the applications.

A study was conducted to see if there was a difference in how men and women feel about animal testing. A random sample of 55 women was selected and asked to rank how they felt about animal testing on a 10-point scale, where a score of 1 represented strong opposition and a score of 10 represented strong support. The mean score of the sample was 4.5 with a standard deviation of 0.7. A random sample of 75 men was selected and asked to rank how they felt about animal testing on a 10-point scale, where a score of 1 represented strong opposition and a score of 10 represented strong support. The mean score of the sample was 5.2 with a standard deviation of 0.9. Test the claim that there is a difference in how men and women feel about animal testing. Use α = 0.01.

EKU would like to know if fewer seniors plan on staying in Kentucky after graduation compared to freshmen. A random sample of 100 seniors were surveyed, and 71 responded that they plan on staying in Kentucky after graduation. A random sample of 100 freshman were surveyed, and 82 responded that they plan on staying in Kentucky after graduation. Use α=0.05.

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