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a. The null and alternative hypothesis would be: Hoμ≤ 0.5 Ho: p = 0.5 Ho:μ ≥ 0.5 H₁> 0.5 H₁: p > 0.5 H₁ μ< 0.5 H₁: Ho: μ = 0.5 Ho: p=0.5 Ho: p = 0.5 0 0.5 H₁: p0.5 H₁: p < 0.5 b. The p-value is: (to 4 decimals) Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). c. Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 0.5% in mind, does the resulting p-value really support a charge of gender discrimination? d. Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor. T I

a. The null and alternative hypothesis would be: Hoμ≤ 0.5 Ho: p = 0.5 Ho:μ ≥ 0.5 H₁> 0.5 H₁: p > 0.5 H₁ μ< 0.5 H₁: Ho: μ = 0.5 Ho: p=0.5 Ho: p = 0.5 0 0.5 H₁: p0.5 H₁: p < 0.5 b. The p-value is: (to 4 decimals) Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). c. Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 0.5% in mind, does the resulting p-value really support a charge of gender discrimination? d. Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor. T I

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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After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 5 women among the last 25 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 5 or fewer women when 25 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. a. The null and alternative hypothesis would be: Ho : μ < 0.5 Ho:p 0.5 Ho≥ 0.5 Ho: μ = 0.5 H₁ μ> 0.5 H₁: p > 0.5 H₁ μ< 0.5 H₁ μ‡ 0.5 : Ho: p=0.5 Ho: p= = 0.5 H₁: p0.5 H₁: p < 0.5 b. The p-value is: (to 4 decimals) Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). c. Based on this we: Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 0.5% in mind, does the resulting p-value really support a charge of gender discrimination? d. Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor. Edit Insert Formats X₂ X² BIU === EVE E ⑥. A <> Σ+ Σ Α
Transcribed Image Text:After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 5 women among the last 25 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 5 or fewer women when 25 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. a. The null and alternative hypothesis would be: Ho : μ < 0.5 Ho:p 0.5 Ho≥ 0.5 Ho: μ = 0.5 H₁ μ> 0.5 H₁: p > 0.5 H₁ μ< 0.5 H₁ μ‡ 0.5 : Ho: p=0.5 Ho: p= = 0.5 H₁: p0.5 H₁: p < 0.5 b. The p-value is: (to 4 decimals) Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). c. Based on this we: Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 0.5% in mind, does the resulting p-value really support a charge of gender discrimination? d. Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor. Edit Insert Formats X₂ X² BIU === EVE E ⑥. A <> Σ+ Σ Α
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