After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 6 women among the last 20 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 6 or fewer women when 20 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. The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 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 1% as the cutoff value (1 in 100 chance of happening by chance). Based on this we: Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 1% in mind, does the resulting p-value really support a charge of gender discrimination? Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor.
After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 6 women among the last 20 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 6 or fewer women when 20 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. The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 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 1% as the cutoff value (1 in 100 chance of happening by chance). Based on this we: Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 1% in mind, does the resulting p-value really support a charge of gender discrimination? Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 6 women among the last 20 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 6 or fewer women when 20 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.
- The null and alternative hypothesis would be:
H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5H0:p=0.5H0:p=0.5
H1:p>0.5H1:p>0.5H0:p=0.5H0:p=0.5
H1:p<0.5H1:p<0.5H0:μ≤0.5H0:μ≤0.5
H1:μ>0.5H1:μ>0.5H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5H0:μ≥0.5H0:μ≥0.5
H1:μ<0.5H1:μ<0.5 - The p-value is: (to 4 decimals)
Because this is a serious claim, we will use a stricter cutoff value for unusual
- Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
With this significance level of 1% in mind, does the resulting p-value really support a charge of gender discrimination?
- Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor.
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