Professors collected data consisting of eye color and gender of statistics students. Among 1056 female students, 400 had blue eyes. Among 897 male students, 323 had blue eyes. Use a 0.01 significance level to test the claim that the proportions of blue eyes are the same for females and males. Test the claim using a hypothesis test. 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? O A. Ho: P1 SP2 H1: P1 #P2 O C. Ho: P1 2P2 O B. Ho: P1 = P2 H1: P1 P2 Identify the test statistic. %3= (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 V the significance level of a = 0.01, so the null hypothesis. There V evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Professors collected data consisting of eye color and gender of statistics students. Among 1056 female students, 400 had blue eyes. Among 897 male students,
323 had blue eyes. Use a 0.01 significance level to test the claim that the proportions of blue eyes are the same for females and males.
Test the claim using a hypothesis test.
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?
O A. Ho: P1 SP2
H1:P1 #P2
O C. Ho: P1 2P2
H1: P1 #P2
O B. Ho: P1 =P2
Zd> 'd : 'H
O E. Ho: P1 = P2
O D. Ho: P1 # P2
H1: P1 = P2
O F. Ho: P1 = P2
H1: 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
V the significance level of a = 0.01, so
V the null hypothesis. There
evidence to warrant rejection of the
claim that the proportions of blue eyes are the same for females and males.
Transcribed Image Text:Professors collected data consisting of eye color and gender of statistics students. Among 1056 female students, 400 had blue eyes. Among 897 male students, 323 had blue eyes. Use a 0.01 significance level to test the claim that the proportions of blue eyes are the same for females and males. Test the claim using a hypothesis test. 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? O A. Ho: P1 SP2 H1:P1 #P2 O C. Ho: P1 2P2 H1: P1 #P2 O B. Ho: P1 =P2 Zd> 'd : 'H O E. Ho: P1 = P2 O D. Ho: P1 # P2 H1: P1 = P2 O F. Ho: P1 = P2 H1: 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 V the significance level of a = 0.01, so V the null hypothesis. There evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males.
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Follow-up Question
Professors collected data consisting of eye color and gender of statistics students. Among
950
male​ students,
372
had blue eyes. Among
1105
female​ students,
384
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. Consider the first sample to be the sample of males and the second sample to be the sample of females.
 
 
 
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