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Below is the transcription and explanation of the given image for educational purposes. --- **5.** The following are the outputs from a TI-83 after a hypothesis test was performed on the calculator. Answer the questions relating to the hypothesis test performed. Assume that all tests are to be performed at the 5% significance level unless you are told otherwise. --- **1-PropZTest** - **prop<0.052** - **z = -1.429961766** - **p = 0.076364042** - \( \hat{p} = 0.04 \) - **n = 700** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **What were the values of \( x \) and \( n \) used to calculate \( \hat{p} \)?** --- **T-Test** - **µ > 100** - **t = 3.666666667** - **p = 2.5328946E-4** - \( \bar{x} = 111 \) - \( s_x = 24 \) - **n = 64** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **Find a 99% confidence interval for \( \mu \).** --- **True or False? EXPLAIN your answer, it is not sufficient to just answer true or false.** *When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true?* --- **Explanation:** Graphs or diagrams are not present in the image. The image contains text detailing results of a one-proportion z-test and a t-test. It poses questions regarding decision making in hypothesis testing, the setup of null and alternative hypotheses, and calculations related to hypothesis testing, including p-values and confidence intervals. The significance level is 5% for the tests, meaning decisions about rejecting the null hypothesis should be based on this threshold. The p-values provided need to be compared to this significance level to determine the outcome of each hypothesis test. The tasks also involve interpreting test statistics and understanding the implications of p-values in hypothesis testing.

Below is the transcription and explanation of the given image for educational purposes. --- **5.** The following are the outputs from a TI-83 after a hypothesis test was performed on the calculator. Answer the questions relating to the hypothesis test performed. Assume that all tests are to be performed at the 5% significance level unless you are told otherwise. --- **1-PropZTest** - **prop<0.052** - **z = -1.429961766** - **p = 0.076364042** - \( \hat{p} = 0.04 \) - **n = 700** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **What were the values of \( x \) and \( n \) used to calculate \( \hat{p} \)?** --- **T-Test** - **µ > 100** - **t = 3.666666667** - **p = 2.5328946E-4** - \( \bar{x} = 111 \) - \( s_x = 24 \) - **n = 64** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **Find a 99% confidence interval for \( \mu \).** --- **True or False? EXPLAIN your answer, it is not sufficient to just answer true or false.** *When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true?* --- **Explanation:** Graphs or diagrams are not present in the image. The image contains text detailing results of a one-proportion z-test and a t-test. It poses questions regarding decision making in hypothesis testing, the setup of null and alternative hypotheses, and calculations related to hypothesis testing, including p-values and confidence intervals. The significance level is 5% for the tests, meaning decisions about rejecting the null hypothesis should be based on this threshold. The p-values provided need to be compared to this significance level to determine the outcome of each hypothesis test. The tasks also involve interpreting test statistics and understanding the implications of p-values in hypothesis testing.

MATLAB: An Introduction with Applications
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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Below is the transcription and explanation of the given image for educational purposes. --- **5.** The following are the outputs from a TI-83 after a hypothesis test was performed on the calculator. Answer the questions relating to the hypothesis test performed. Assume that all tests are to be performed at the 5% significance level unless you are told otherwise. --- **1-PropZTest** - **prop<0.052** - **z = -1.429961766** - **p = 0.076364042** - \( \hat{p} = 0.04 \) - **n = 700** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **What were the values of \( x \) and \( n \) used to calculate \( \hat{p} \)?** --- **T-Test** - **µ > 100** - **t = 3.666666667** - **p = 2.5328946E-4** - \( \bar{x} = 111 \) - \( s_x = 24 \) - **n = 64** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **Find a 99% confidence interval for \( \mu \).** --- **True or False? EXPLAIN your answer, it is not sufficient to just answer true or false.** *When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true?* --- **Explanation:** Graphs or diagrams are not present in the image. The image contains text detailing results of a one-proportion z-test and a t-test. It poses questions regarding decision making in hypothesis testing, the setup of null and alternative hypotheses, and calculations related to hypothesis testing, including p-values and confidence intervals. The significance level is 5% for the tests, meaning decisions about rejecting the null hypothesis should be based on this threshold. The p-values provided need to be compared to this significance level to determine the outcome of each hypothesis test. The tasks also involve interpreting test statistics and understanding the implications of p-values in hypothesis testing.
Transcribed Image Text:Below is the transcription and explanation of the given image for educational purposes. --- **5.** The following are the outputs from a TI-83 after a hypothesis test was performed on the calculator. Answer the questions relating to the hypothesis test performed. Assume that all tests are to be performed at the 5% significance level unless you are told otherwise. --- **1-PropZTest** - **prop<0.052** - **z = -1.429961766** - **p = 0.076364042** - \( \hat{p} = 0.04 \) - **n = 700** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **What were the values of \( x \) and \( n \) used to calculate \( \hat{p} \)?** --- **T-Test** - **µ > 100** - **t = 3.666666667** - **p = 2.5328946E-4** - \( \bar{x} = 111 \) - \( s_x = 24 \) - **n = 64** 1. **Would you reject \( H_0 \)? EXPLAIN why or why not.** 2. **What were the null and alternative hypothesis for this test?** 3. **Find a 99% confidence interval for \( \mu \).** --- **True or False? EXPLAIN your answer, it is not sufficient to just answer true or false.** *When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true?* --- **Explanation:** Graphs or diagrams are not present in the image. The image contains text detailing results of a one-proportion z-test and a t-test. It poses questions regarding decision making in hypothesis testing, the setup of null and alternative hypotheses, and calculations related to hypothesis testing, including p-values and confidence intervals. The significance level is 5% for the tests, meaning decisions about rejecting the null hypothesis should be based on this threshold. The p-values provided need to be compared to this significance level to determine the outcome of each hypothesis test. The tasks also involve interpreting test statistics and understanding the implications of p-values in hypothesis testing.
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