In a random sample ofâ males, it was found that 22 write with their left hands and 215 do not. In a random sample ofâ females, it was found that 58 write with their left hands and 443 do not. Use a 0.01 significance level to test the claim that the rate ofâ left-handedness among males is less than that among females. Complete partsâ (a) throughâ (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 hypothesisâ test?
Identify the test statistic.
Identify the test statistic.
z=
(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 greater thanor not in the significance level of ?=0.05,?
so?reject or fail to reject the null hypothesis. There is sufficient/// or// is not sufficient 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?
<(p1?p2)<
(Round to three decimal places as needed.)?