Question

Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1419 referee​ calls, with the result that 424 of the calls were overturned. Women challenged 743 referee​ calls, and 222 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts​ (a) through​ (c) below.

Answer 1

n1= 1419, x1= 424, n2= 743, x2= 222,

= 0.01

a)

Ho: P1 = P2

Ha: P1 P2

calculate test statistics

Z = 0.00

Calculate p-value

P-Value = 2 * 1 - P(z < 0.001)

using normal z table we get

P(z < 0.001) = 0.5000

P-Value = 2 * ( 1 - 0.5000)

P-Value = 1.000

The P-Value is greater than the significance level of = 0.01, so Failed to reject the null hypothesis. there is enough evidence to warrent of the claom that women and men

b)

99% confidence interval is −0.041 < ( p1​−p2 ) ​ < 0.041.