For each of the five scenarios that follow, do the following steps in the hypothesis testing process, with the level of significance α=.05 for each. State the null and alternative hypotheses, explaining your thought process. State which type of test you will do, of the five tests introduced in this week's interactive reading assignments, and how you know. State whether the area you will be interested in, when doing the test, will be to the left, to the right, or both, and how you know. Find the test statistic for the test you determined was appropriate. Find the p-value corresponding to the test statistic, given the direction you determined for the area. Explain what the p-value represents. State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and α . Explain what the results of the test mean, using the vocabulary of hypothesis testing. Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing. Answer any other questions which accompany the scenario. Here is the scenario and data: A professor is curious about whether there is a relationship between attendance at Q&A sessions and overall course grade. She gathers the following data from her (totally fictional) class to test this idea: Number of Q&A sessions attended Percentage grade at end of course 4 76 11 82 0 61 2 93 0 73 14 90 7 83 0 54 3 86 0 84 1 79 9 87 0 78 5 85 2 88 0 68 7 94 5 98 1 69 3 77 12 86Does there appear to be a statistically significant relationship?

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

For each of the five scenarios that follow, do the following steps in the hypothesis testing process, with the level of significance α=.05 for each.

State the null and alternative hypotheses, explaining your thought process.
State which type of test you will do, of the five tests introduced in this week's interactive reading assignments, and how you know.
State whether the area you will be interested in, when doing the test, will be to the left, to the right, or both, and how you know.
Find the test statistic for the test you determined was appropriate.
Find the p-value corresponding to the test statistic, given the direction you determined for the area.
Explain what the p-value represents.
State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and α .
Explain what the results of the test mean, using the vocabulary of hypothesis testing.
Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing.
Answer any other questions which accompany the scenario.

Here is the scenario and data:

A professor is curious about whether there is a relationship between attendance at Q&A sessions and overall course grade. She gathers the following data from her (totally fictional) class to test this idea: