Since an instant replay system for tennis was introduced at a major tournament, men challenged 1441 referee calls, with the result that 423 of the calls were overturned. women challenged 762 referee calls, and 210 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. 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?

Given : Men challenged 1441 referee calls, with the result that 423 of the calls were overturned.

Women challenged 762 referee calls, and 210 of the calls were overturned.

To Find : Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Test the claim using a hypothesis test.

Solution:

Men challenged 1441 referee calls, with the result that 423 of the calls were overturned.

Women challenged 762 referee calls, and 210 of the calls were overturned.

Letandbe the probabilities of success of men and women receptively

We will use Comparing Two Proportions

Formula of test statistic :

Substitute the values  

test statistic :

Test statistic : 0.863

Now refer the z table for p value

So. p = 0.8051

significance level  = 0.01

p value > α

So, we accept the null hypothesis

So, men and women have equal success in challenging calls.

$0.5

Step-by-step explanation:

Given :

Hours ___Lot A Cost ($) ___ Lot B Cost ($) 419.00 20.00

8 33.00 32.00

Using the equation :

y = mx + C

m = slope = Hourly charge

C = intercept = set park fee

m = y2 - y1 / x2 - x1

For LotA:

m1 = (33 - 19) / (8 - 4)

m1 = 14 / 4

m1 = 3.5

For LotB:

m2 = (32 - 20) / (8 - 4)

m2 = 12 / 4

m2 = 3

Since, m is the hourly cost :

Difference = m1 - m2

= 3.5 - 3

= $0. 5