In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 62 write with their left hands and 469 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? OC. Ho: P1 = P2 O B. Ho: P, 2 P2 H,: P, #P2 O A. Ho: P, SP2 H,: P, # P2 OD. Ho: P1 #P2 H,: P, = P2 H,: P, > P2 O E. Ho: P1 =P2 H,: P, #P2 OF. Ho: P1 = P2 H,: P,

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identify the test statistic

identify p-value

what is the conclusion based on the hypothesis test?

The p-value is (greater than/less than) the significance level of alpha=  , so (reject/fail to reject) the null hypothesis. there ( is sufficient/ is not sufficient) evidence to support the claim that the left- handedness among males is less than that among females.

test the claim by the constructing an appropiate confidence interval

the 90% confidence interval is 

Because the confidence interval limits (include/​do not include) 0, it appears that the two rates of​ left-handedness are (equal/ not equal) There (is not sufficient/is sufficient) evidence to support the claim that the rate of​ left-handedness among males is less than that among females.

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 because the results are statistically significant.
 
B.The rate of​ left-handedness among males
does appear to be less than the rate of​ left-handedness among females.
 
C.The rate of​ left-handedness among males
does not appear to be less than the rate of​ left-handedness among females because the results are not statistically significant.
 
D.The results are inconclusive.
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 62 write with their left hands and 469 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
H,: P, #P2
B. Ho: P1 2 P2
H,: P, #P2
O C. Ho: P1 = P2
H,: P, > P2
1
O D. Ho: P1 + P2
H,:P, = P2
O E. Ho: P1 = P2
H1:P, #P2
O F. Ho: P1 = P2
H,:P, <P2
1
Click to select your answer and then click Check Answer.
Transcribed Image Text:In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 62 write with their left hands and 469 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 H,: P, #P2 B. Ho: P1 2 P2 H,: P, #P2 O C. Ho: P1 = P2 H,: P, > P2 1 O D. Ho: P1 + P2 H,:P, = P2 O E. Ho: P1 = P2 H1:P, #P2 O F. Ho: P1 = P2 H,:P, <P2 1 Click to select your answer and then click Check Answer.
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