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Professors collected data consisting of eye color and gender of statistics students. Among 858 male students, 273 had blue eyes. Among 1091 female students, 352 had blue eyes. Use a 0.05 significance level to test the claim that the proportions of are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ = P₂ H₁: P₁ P₂ O D. Ho: P₁ = P2 H₁: P₁ P₂ Identify the test statistic. z=[ (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) OB. Ho: P₁ SP₂ H₁: P₁ P2 OE. Ho: P₁ P2 H₁: P₁ P₂ the null hypothesis. There O C. Ho: P₁ P2 H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P₂ evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males.

Professors collected data consisting of eye color and gender of statistics students. Among 858 male students, 273 had blue eyes. Among 1091 female students, 352 had blue eyes. Use a 0.05 significance level to test the claim that the proportions of are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ = P₂ H₁: P₁ P₂ O D. Ho: P₁ = P2 H₁: P₁ P₂ Identify the test statistic. z=[ (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) OB. Ho: P₁ SP₂ H₁: P₁ P2 OE. Ho: P₁ P2 H₁: P₁ P₂ the null hypothesis. There O C. Ho: P₁ P2 H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P₂ evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males.

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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Professors collected data consisting of eye color and gender of statistics students. Among 858 male students, 273 had blue eyes. Among 1091 female students, 352 had blue eyes. Use a 0.05 significance level to test the claim that the proportions of blue eyes are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P₁ P₂ D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval B. Ho: P₁ P2 H₁: P₁ P₂ c. What is the type of sampling used? Is it likely that the sample is biased? The professors used a Is it likely that the sample is biased? Choose the correct answer below. E. Ho: P₁ = P2 H₁: P₁ P₂ the null hypothesis. There 0, it appears that the two proportions of blue eyes are There C. Ho: P₁ P2 H₁: P₁ = P2 F. Ho: P₁ P2 H₁: P₁ P₂ evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males. evidence to support the claim that the proportions of blue eyes are different for females and males. A. No. This sample was randomly selected and there is no reason to expect bias. B. Yes. This sample was randomly selected, but there is nothing indicating that the prevalence of blue eyes is different among statistics students than in the general population. C. Yes. The sample type generally has bias and the sample is not randomly selected. D. No. The sample type generally has bias, but there is nothing indicating that the prevalence of blue eyes is different among statistics students than in the general population.
Transcribed Image Text:Professors collected data consisting of eye color and gender of statistics students. Among 858 male students, 273 had blue eyes. Among 1091 female students, 352 had blue eyes. Use a 0.05 significance level to test the claim that the proportions of blue eyes are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P₁ P₂ D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval B. Ho: P₁ P2 H₁: P₁ P₂ c. What is the type of sampling used? Is it likely that the sample is biased? The professors used a Is it likely that the sample is biased? Choose the correct answer below. E. Ho: P₁ = P2 H₁: P₁ P₂ the null hypothesis. There 0, it appears that the two proportions of blue eyes are There C. Ho: P₁ P2 H₁: P₁ = P2 F. Ho: P₁ P2 H₁: P₁ P₂ evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males. evidence to support the claim that the proportions of blue eyes are different for females and males. A. No. This sample was randomly selected and there is no reason to expect bias. B. Yes. This sample was randomly selected, but there is nothing indicating that the prevalence of blue eyes is different among statistics students than in the general population. C. Yes. The sample type generally has bias and the sample is not randomly selected. D. No. The sample type generally has bias, but there is nothing indicating that the prevalence of blue eyes is different among statistics students than in the general population.
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