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(b) Now suppose that they have collected a second sample to test the same null hypothesis. Working with the data, they find that: Z.L. • The test statistics of the new sample mean is: • Plugging this test statistics into Excel yields: 1.12 87 CV P-value 1.12 708 Rejec norm.s.dist(1.12, true) =0.87 Based on this new sample, circle all and only correct statement(s) below. No explanation is needed.

(b) Now suppose that they have collected a second sample to test the same null hypothesis. Working with the data, they find that: Z.L. • The test statistics of the new sample mean is: • Plugging this test statistics into Excel yields: 1.12 87 CV P-value 1.12 708 Rejec norm.s.dist(1.12, true) =0.87 Based on this new sample, circle all and only correct statement(s) below. No explanation is needed.

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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**Statistical Hypothesis Testing Example** (b) Now suppose that they have collected a second sample to test the same null hypothesis. Working with the data, they find that: - The test statistic of the new sample mean is: \( Z_t = 1.12 \) - Plugging this test statistic into Excel yields: \( \text{norm.s.dist}(1.12, \text{true}) = 0.87 \) Notes on the image: - The result \(1.12 > 0.87\) indicates a rejection condition, as shown in the handwritten note. Based on this new sample, circle all and only correct statement(s) below. No explanation is needed. (A) The null hypothesis can be rejected at the 68% confidence level. **(B) The null hypothesis can be rejected.** (Circled) (C) The p-value of the test is between 0.1 and 0.2. (D) The p-value of the test is between 0.25 and 0.4. **(E) The p-value of the test is above 0.5.** (Circled) (F) The null hypothesis can be rejected when the significance level is 0.15. (G) The null hypothesis can be rejected when the significance level is 0.2. (H) The null hypothesis can be rejected at the 70% confidence level. **(I) The null hypothesis can be rejected at the 80% confidence level.** (Circled) (J) The null hypothesis can be rejected at the 90% confidence level. This example demonstrates the process of hypothesis testing using a test statistic and p-values to determine whether to reject the null hypothesis under varying confidence levels.
Transcribed Image Text:**Statistical Hypothesis Testing Example** (b) Now suppose that they have collected a second sample to test the same null hypothesis. Working with the data, they find that: - The test statistic of the new sample mean is: \( Z_t = 1.12 \) - Plugging this test statistic into Excel yields: \( \text{norm.s.dist}(1.12, \text{true}) = 0.87 \) Notes on the image: - The result \(1.12 > 0.87\) indicates a rejection condition, as shown in the handwritten note. Based on this new sample, circle all and only correct statement(s) below. No explanation is needed. (A) The null hypothesis can be rejected at the 68% confidence level. **(B) The null hypothesis can be rejected.** (Circled) (C) The p-value of the test is between 0.1 and 0.2. (D) The p-value of the test is between 0.25 and 0.4. **(E) The p-value of the test is above 0.5.** (Circled) (F) The null hypothesis can be rejected when the significance level is 0.15. (G) The null hypothesis can be rejected when the significance level is 0.2. (H) The null hypothesis can be rejected at the 70% confidence level. **(I) The null hypothesis can be rejected at the 80% confidence level.** (Circled) (J) The null hypothesis can be rejected at the 90% confidence level. This example demonstrates the process of hypothesis testing using a test statistic and p-values to determine whether to reject the null hypothesis under varying confidence levels.
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