In a random sample of males, it was found that 23 write with their left hands and 218 do not. In a random sample of females, it was found that 63 write with their left hands and 448 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. 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? A. Ho: P1 = P2 B. Ho: P1 = P2 C. Ho: P1 SP2 H1: P1 P2 O D. Ho: P12P2 H4: P, #P2 O F. Ho: P1 # P2 H1: P1 = P2 E. Ho: P1 = P2 H4: 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 the null hypothesis. There evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a random sample of males, it was found that 23 write with their left hands and 218 do not. In a random sample of females, it was found that 63 write with their left hands and 448 do not. Use a
0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
a. 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?
A. Ho: P1 = P2
B. Ho: P1 = P2
C. Ho: P1 SP2
H1: P1 <P2
H4: P1 > P2
O D. Ho: P12P2
H4: P, #P2
O F. Ho: P1 # P2
H1: P1 = P2
E. Ho: P1 = P2
H4: 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
the null hypothesis. There
evidence to support the claim that the rate of left-handedness among
males is less than that among females.
b. Test the claim by constructing an appropriate confidence interval.
Transcribed Image Text:In a random sample of males, it was found that 23 write with their left hands and 218 do not. In a random sample of females, it was found that 63 write with their left hands and 448 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. 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? A. Ho: P1 = P2 B. Ho: P1 = P2 C. Ho: P1 SP2 H1: P1 <P2 H4: P1 > P2 O D. Ho: P12P2 H4: P, #P2 O F. Ho: P1 # P2 H1: P1 = P2 E. Ho: P1 = P2 H4: 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 the null hypothesis. There evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval.
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