In a random sample of males, it was found that 28 write with their left hands and 207 do not. In a random sample of females, it was found that 74 write with their left hands and 432 do not. Use a 0.05 significance level to test the claim that 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 females. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 +P2 H: P1 =P2 O A. Họ: P1 = P2 O B. Ho: P1 z P2 H: P1 * P2 H: P1 P2 O D. Ho: P1 SPP2 H: P1 P2 O E. Ho: P1 = P2 H: P1 P2 Identify the test statistic. (Round to two decimal places as needed.)

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In a random sample of males, it was found that 28 write with their left hands and 207 do not. In a random sample of females, it was found that 74 write with their left hands and 432 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
В. Но: Р1 2 Р2
C. Ho: P1 # P2
H1: P1 = P2
H1: P1 # P2
H1: P1 #P2
D. Ho: P1 SP2
H1:P1 # P2
O E. Ho: P1 = P2
H1: P1 <P2
O F. Ho: 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.
The 90% confidence interval is O< (P1 - P2) <U.
(Round to three decimal places as needed.)
Transcribed Image Text:In a random sample of males, it was found that 28 write with their left hands and 207 do not. In a random sample of females, it was found that 74 write with their left hands and 432 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 В. Но: Р1 2 Р2 C. Ho: P1 # P2 H1: P1 = P2 H1: P1 # P2 H1: P1 #P2 D. Ho: P1 SP2 H1:P1 # P2 O E. Ho: P1 = P2 H1: P1 <P2 O F. Ho: 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. The 90% confidence interval is O< (P1 - P2) <U. (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) <
The 90% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, it appears that the two rates of left-handedness are
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?
A. The rate of left-handedness among males does not appear to be less than the rate of left-handedness among females.
B. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the results are not statistically significant.
C. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the results are statistically significant.
D. The results are inconclusive.
Transcribed Image Text: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) < The 90% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits 0, it appears that the two rates of left-handedness are 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? A. The rate of left-handedness among males does not appear to be less than the rate of left-handedness among females. B. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the results are not statistically significant. C. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the results are statistically significant. D. The results are inconclusive.
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