Of the 1000 comparison school students in the sample, 290 had overslept and been late to class at least once at Follow-Up 2. Of the 1414 policy change school students in the sample, 283 had overslept and been late to class at least once at Follow-Up 2. Calculate the proportion of comparison school students in the sample who had overslept and been late to class at least once at Follow-Up 2 (), the proportion of policy change school students in the sample who had overslept and been late to class at least once at Follow-Up 2 (), and the difference in proportions (comparison – policy change). Be sure to show how you find the proportions. Use the Two-way Tables applet to create a distribution of 1000 simulated difference in proportions under the null hypothesis assumption. We will consider oversleeping and being late to class to be the “success” outcome and GroupA to be comparison school students. Remember that if you choose to change the column and row labels no spaces can be included in the labels. What are the shape, center, and variability of the distribution of simulated difference in proportions? Explain why the value of the mean of the distribution makes sense and include a screenshot of the distribution. Use the applet to find a p-value for this situation. Explain how you do this and include a screenshot that shows the relevant portion of the applet, including the distribution of simulated differences. State the value of the p-value. Using a significance level of should you reject or fail to reject the null hypothesis? Explain. Which hypothesis is plausible? State a conclusion in context about the research conjecture.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Of the 1000 comparison school students in the sample, 290 had overslept and been late to class at least once at Follow-Up 2. Of the 1414 policy change school students in the sample, 283 had overslept and been late to class at least once at Follow-Up 2. Calculate the proportion of comparison school students in the sample who had overslept and been late to class at least once at Follow-Up 2 (), the proportion of policy change school students in the sample who had overslept and been late to class at least once at Follow-Up 2 (), and the difference in proportions (comparison – policy change). Be sure to show how you find the proportions.
Use the Two-way Tables applet to create a distribution of 1000 simulated difference in proportions under the null hypothesis assumption. We will consider oversleeping and being late to class to be the “success” outcome and GroupA to be comparison school students. Remember that if you choose to change the column and row labels no spaces can be included in the labels. What are the shape, center, and variability of the distribution of simulated difference in proportions? Explain why the value of the mean of the distribution makes sense and include a screenshot of the distribution.
Use the applet to find a p-value for this situation. Explain how you do this and include a screenshot that shows the relevant portion of the applet, including the distribution of simulated differences. State the value of the p-value.
Using a significance level of should you reject or fail to reject the null hypothesis? Explain. Which hypothesis is plausible? State a conclusion in context about the research conjecture.