Can you explain how to construct the confidence interval? I got part of this problem correct but not sure about constructing the confidence interval.

In a random sample ofmales, it was found that 21

21 write with their left hands and 220

220 do not. In a random sample offemales, it was found that 59

59 write with their left hands and 457

457 do not. Use a 0.01

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?

A.

Upper H 0

H0: p 1

p1equals

=p 2

p2

Upper H 1

H1: p 1

p1greater than

>p 2

p2

B.

Upper H 0

H0: p 1

p1not equals

p 2

p2

Upper H 1

H1: p 1

p1equals

=p 2

p2

C.

Upper H 0

H0: p 1

p1less than or equals

p 2

p2

Upper H 1

H1: p 1

p1not equals

p 2

p2

D.

Upper H 0

H0: p 1

p1equals

=p 2

p2

Upper H 1

H1: p 1

p1less than

p2

Your answer is correct.

E.

Upper H 0

H0: p 1

p1greater than or equals

p 2

p2

Upper H 1

H1: p 1

p1not equals

p 2

p2

F.

Upper H 0

H0: p 1

p1equals

=p 2

p2

Upper H 1

H1: p 1

p1not equals

p 2

p2

Identify the test statistic.

zequals

=

negative 1.13

1.13

(Round to two decimal places asneeded.)

Identify theP-value.

P-valueequals

=

0.128

0.128

(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

TheP-value is greater than

the significance level of alpha

equals

=0.01

0.01, so fail to reject

the null hypothesis. There is not sufficient

evidence to support the claim that the rate ofleft-handedness among males is less than that among females.

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

The 98

98% confidence interval is

negative 0.081

0.081less than

p1p2less than

<

0.026

0.026.

(Round to three decimal places asneeded.)

What is the conclusion based on the confidenceinterval?

Because the confidence interval limits include

0, it appears that the two rates ofleft-handedness are equal.

There is not sufficient

evidence to support the claim that the rate ofleft-handedness among males is less than that among females.

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

A.

The rate ofleft-handedness among males does not

doesnot appear to be less than the rate ofleft-handedness among females.

This is the correct answer.

B.

The rate ofleft-handedness among males does

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

C.

The rate ofleft-handedness among males does

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

Your answer is not correct.

D.

The results are inconclusive.

Question is complete. Tap on the red indicators to see incorrect answers.