Professors collected data consisting of eye color and gender of statistics students. Among 912 male students, 276 had blue eyes. Among 1102 female students, 372 had blue eyes. Use a 0.01 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. OD. Ho: P₁ = P₂ H₁: P₁ P₂ Identify the test statistic. Z= -1.67 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.095 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? O E. Ho: P₁ P₂ H₁: P₁ P₂ The 99% confidence interval is -0.089 < (P₁-P₂) < 0.019. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? CD F. H₂: P₁ = P₂ H₁: P₁ #P₂ The P-value is greater than the significance level of α=0.01, so fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males. b. Test the claim by constructing an appropriate confidence interval. Because the confidence interval contains 0, it appears that the two proportions of blue eyes are equal. There is not sufficient evidence to support the claim that the proportions of blue eyes are different for females and males. c. What is the type of sampling used? Is it likely that the sample biased? The professors used a
Professors collected data consisting of eye color and gender of statistics students. Among 912 male students, 276 had blue eyes. Among 1102 female students, 372 had blue eyes. Use a 0.01 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. OD. Ho: P₁ = P₂ H₁: P₁ P₂ Identify the test statistic. Z= -1.67 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.095 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? O E. Ho: P₁ P₂ H₁: P₁ P₂ The 99% confidence interval is -0.089 < (P₁-P₂) < 0.019. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? CD F. H₂: P₁ = P₂ H₁: P₁ #P₂ The P-value is greater than the significance level of α=0.01, so fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males. b. Test the claim by constructing an appropriate confidence interval. Because the confidence interval contains 0, it appears that the two proportions of blue eyes are equal. There is not sufficient evidence to support the claim that the proportions of blue eyes are different for females and males. c. What is the type of sampling used? Is it likely that the sample biased? The professors used a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Professors collected data consisting of eye color and gender of statistics students. Among 912 male students, 276 had blue eyes. Among 1102 female students, 372 had blue eyes. Use a 0.01 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.
O D. Ho: P₁ = P₂
H₁: P₁ P₂
Identify the test statistic.
Z= -1.67
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.095
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
O E. Ho: P₁ P₂
H₁: P₁ P₂
The 99% confidence interval is -0.089 (P₁-P₂) < 0.019.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
F₁ H₂= P₁ = P₂
H₁: P₁ P₂
The P-value is greater than the significance level of α = 0.01, so fail to reject the null hypothesis. There is not sufficient evidence t warrant rejection of the claim that the proportions of blue eyes are the same for
females and males.
b. Test the claim by constructing an appropriate confidence interval.
Because the confidence interval contains 0, it appears that the two proportions of blue eyes are equal. There is not sufficient evidence to support the claim that the proportions of blue eyes are different
for females and males.
c. What is the type of sampling used? Is it likely that the sample is biased?
The professors used a
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