In a random sample of males, it was found that 18 write with their left hands and 209 do not. In a random sample of females, it was found that 71 write with their left hands and 439 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. 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? Identify the test statistic. (round to two decimal places as needed) Identify the P-value. (round to three decimal places as needed) The P-value is ___________ ( less than/greater than) the significance level α =0.05, so __________ ( reject/fail to reject) the null hypothesis. There is ________ ( sufficient/insufficient) evidence to support the claim that the rate of left-handedness among males is less than that among females.
In a random sample of males, it was found that 18 write with their left hands and
209 do not. In a random sample of females, it was found that 71 write with their left hands and 439 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.
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?
Identify the test statistic.
(round to two decimal places as needed)
Identify the P-value.
(round to three decimal places as needed)
The P-value is ___________ ( less than/greater than) the significance level α =0.05, so __________ ( reject/fail to reject) the null hypothesis. There is ________ ( sufficient/insufficient) evidence to support the claim that the rate of left-handedness among males is less than that among females.
Test the claim by constructing an appropriate confidence interval
( round to three decimal places as needed)
The 90% confidence interval is _____ < (p1−p2) < _______
Because the confidence interval limits _________(include 0 /include only negative values) there ________ (appears/does not appear) to be a significant difference between the rates of left-handedness among males and females. There _______ ( is sufficient/is not 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.
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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