Question: In a random sample ofmales, it was found that 25 write with their left hands and 217 do not. In a random sample offemales, it

In a random sample ofmales, it was found that 25 write with their left hands and 217 do not. In a random sample offemales, it was found that 61 write with their left hands and 446 do not. Use a 0.01 significance level to test the claim that the rate ofleft-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 hypothesistest?

Identify the test statistic.

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=

(Round to three decimal places asneeded.)

b. Test the claim by constructing an appropriate confidence interval.

The 98% confidence interval is _____<(p1p2)<_____

(Round to three decimal places asneeded.)

c. Based on theresults, is the rate ofleft-handedness among males less than the rate ofleft-handedness amongfemales?

The rate ofleft-handedness among males doesnot appear to be less than the rate ofleft-handedness among females because the results are statistically significant.

The rate ofleft-handedness among males does appear to be less than the rate ofleft-handedness among females.

Your answer is correct.

The rate ofleft-handedness among males doesnot appear to be less than the rate ofleft-handedness among females because the results are not statistically significant.

The results are inconclusive.

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