Question

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

1406

referee​ calls, with the result that

431

of the calls were overturned. Women challenged

744

referee​ calls, and

217

of the calls were overturned. Use a

0.01

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

Identify the test statistic.

zequals

nothing

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

Identify the​ P-value.

​P-valueequals

nothing

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

What is the conclusion based on the hypothesis​ test?

The​ P-value is

▼

less than

greater than

the significance level of

alpha

equals0.01

​,

so

▼

reject

fail to reject

the null hypothesis. There

▼

is sufficient

is not sufficient

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

Answer 1

Ans.

We need to perform a statistical test for difference of proportion And our Hypothesis will be :

H0 = Man and women have equal Sucess rate , i.e. Pm=Pf

H1 = Mand and women do not have equal sucess rate , i.e. PmPf

Our Test- Statistic is Given By :

Z = () - ( Pm-Pf) / ~ N(01)

under H0:

Z = () / ~ N(01)

= 1406-431/1406 = 0.6935

= 744-217/744 = 0.7083

Z = -0.07

P-value : P(Z>=-0.07) = 0.528( using Standard normal Table )

Since The P value is Greater than 0.01 , We fail to reject our Null hypothesis , Therefore is not sufficient evidence to warrant rejection of the claim that women and men have equal success in challenging calls.