In a random sample of males, it was found that 27 write with their left hands and 217 do not. In a random sample of females, it was found that 73 write with their left hands and 467 do not. Use a 0.05 significance level to test the claim that the rateof 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?O A. Ho: P1 + p2H1: P1 = P2O C. Ho: P1 P2E. Ho: P1 = P2O F. Ho: P1 = P2H1: P1 + P2D. Ho: P1 2 P2H1:P1 # P2H1: P1 Because the confidence interval limitsthereto be a significant difference between the rates of left-handedness among males and females. Thereevidence to support the claimthat the rate of left-handedness among males is less than that among females.c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?O A. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females.B. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.C. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.D. The assumptions required for the tests are not valid, so the results should not be used for inference.

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Answered: Test the claim using a hypothesis test.

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Test the claim using a hypothesis test.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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In a random sample of males, it was found that 27 write with their left hands and 217 do not. In a random sample of females, it was found that 73 write with their left hands and 467 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?
O A. Ho: P1 + p2
H1: P1 = P2
O C. Ho: P1 <P2
H1: P1 # P2
B. Ho: P1 = P2
H1: P1 > P2
E. Ho: P1 = P2
O F. Ho: P1 = P2
H1: P1 + P2
D. Ho: P1 2 P2
H1:P1 # P2
H1: P1 <P2
Identify the test statistic.
(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.
(P1-P2)
(Round to three decimal places as needed.)
The 90% confidence interval is
<
What is the conclusion based on the confidence interval?

Because the confidence interval limits
there
to be a significant difference between the rates of left-handedness among males and females. There
evidence to support the claim
that the rate of left-handedness among males is less than that among females.
c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?
O A. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females.
B. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.
C. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.
D. The assumptions required for the tests are not valid, so the results should not be used for inference.

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