Question

Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1436 referee​ calls, with the result that 424 of the calls were overturned. Women challenged 754 referee​ calls, and 222 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.

Answer 1

There is no sufficient evidence to suggest that men and women have equal success in challenging calls. This was illustrated in the hypothesis.

How to compute the value?

It should be noted that based on the information given, P1 will be:

= 424/1436

= 0.295

P2 will be:

= 222/754

= 0.294

The value of the test statistic will be:

= (424 + 222)/(1436 + 754)

= 646/2190

= 0.2949

In this case, the value of the test statistic falls on the rejection region, therefore, there is no sufficient evidence to suggest that men and women have equal success in challenging calls.

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