**Educational Text for Hypothesis Testing****Background:**A plan for an executive travelers' club has been developed by an airline based on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 41 who would qualify.**Tasks:****(a) Hypothesis Testing at 0.01 Significance Level:**1. **State the Appropriate Null and Alternative Hypotheses:** - Null Hypothesis (\(H_0\)): \( p = 0.05 \) - Alternative Hypothesis (\(H_a\)): \( p \neq 0.05 \)2. **Calculate the Test Statistic and Determine the P-value:** - Calculate the test statistic (z-score) using the given data. Round your test statistic to two decimal places. - Calculate the P-value. Round your P-value to four decimal places.3. **State the Conclusion in the Problem Context:** Choose between the following conclusions based on your calculations: - Do not reject the null hypothesis. There is not sufficient evidence to conclude that the company’s premise is incorrect. - Reject the null hypothesis. There is sufficient evidence to conclude that the company’s premise is incorrect. The selected conclusion is: - **Reject the null hypothesis. There is sufficient evidence to conclude that the company’s premise is incorrect.****(b) Probability of Type I Error:**- What is the probability that when the test of part (a) is used, the company's premise will be judged correct when in fact 10% of all current customers qualify? (Round your answer to four decimal places.)**Diagram/Graph Explanation (if present):**- There are selection areas indicating the chosen hypothesis and conclusion using checkboxes.- The form inputs for calculations (z-score and P-value) are left blank, suggesting values need to be filled based on calculations. This structured approach helps in statistical decision-making regarding the company's membership premise based on hypothesis testing.

Name: **Educational Text for Hypothesis Testing****Background:**A plan for
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Description: **Educational Text for Hypothesis Testing****Background:**A plan for an executive travelers' club has been developed by an airline based on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers y

The null and alternative hypothesis are given as : Ho : p=0.05H1 : p≠0.05 The sample proportion is…

Math

Statistics

A plan for an executive travelers' club has been developed by an airline on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 41 who would qualify. A USE SALT (a) Using this data, test at level 0.01 the null hypothesis that the company's premise State the appropriate null and alternative hypotheses. correct against the alternative that it is not correct. O Ho: p+ 0.05 H:p< 0.05 O Ho: p = 0.05 H:p> 0.05 O Ho: p+ 0.05 H: p- 0.05 O Ho: p = 0.05 H: p = 0.05 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value four decimal places.) P-value -

A plan for an executive travelers' club has been developed by an airline on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 41 who would qualify. A USE SALT (a) Using this data, test at level 0.01 the null hypothesis that the company's premise State the appropriate null and alternative hypotheses. correct against the alternative that it is not correct. O Ho: p+ 0.05 H:p< 0.05 O Ho: p = 0.05 H:p> 0.05 O Ho: p+ 0.05 H: p- 0.05 O Ho: p = 0.05 H: p = 0.05 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value four decimal places.) P-value -

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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