Since an instant replay system for tennis was introduced at a major​ tournament, men challenged

13861386

referee​ calls, with the result that

426426

of the calls were overturned. Women challenged

754754

referee​ calls, and

227227

of the calls were overturned. Use a

0.010.01

significance level to test the claim that men and women have equal success in challenging calls. Complete parts​ (a) through​ (c) below.

Question content area bottom

Part 1

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis​ test?

A.

Upper H 0H0​:

p 1p1equals=p 2p2

Upper H 1H1​:

p 1p1less than<p 2p2

B.

Upper H 0H0​:

p 1p1equals=p 2p2

Upper H 1H1​:

p 1p1not equals≠p 2p2

Your answer is correct.

C.

Upper H 0H0​:

p 1p1greater than or equals≥p 2p2

Upper H 1H1​:

p 1p1not equals≠p 2p2

D.

Upper H 0H0​:

p 1p1not equals≠p 2p2

Upper H 1H1​:

p 1p1equals=p 2p2

E.

Upper H 0H0​:

p 1p1equals=p 2p2

Upper H 1H1​:

p 1p1greater than>p 2p2

F.

Upper H 0H0​:

p 1p1less than or equals≤p 2p2

Upper H 1H1​:

p 1p1not equals≠p 2p2

Part 2

Identify the test statistic.

zequals=0.300.30

​(Round to two decimal places as​ needed.)

Part 3

Identify the​ P-value.

​P-valueequals=0.7640.764

​(Round to three decimal places as​ needed.)

Part 4

What is the conclusion based on the hypothesis​ test?

The​ P-value is

greater than

the significance level of

alphaαequals=0.010.01​,

so

fail to reject

the null hypothesis. There

is not sufficient

evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

Part 5

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

The

9999​%

confidence interval is

enter your response hereless than<left parenthesis p 1 minus p 2 right parenthesisp1−p2less than<enter your response here.

​(Round to three decimal places as​ needed.)