Since an instant replay system for tennis was introduced at a major tournament, men challenged 1425 referee calls with the results that 412

Question

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1425 referee calls with the results that 412 of the calls were overturned. Women challenged 739 referee calls, and 221 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. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenge referee calls and the second sample to be the sample of female tennis players that challenged referee calls. What are the null and alternative hypotheses for the hypothesis test.

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Đan Thu 5 months 2021-08-14T05:33:10+00:00 1 Answers 32 views 0

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    2021-08-14T05:34:16+00:00

    Answer:

    CI = (-0.0445, 0.0225)

    there is no sufficient evidence to men and women have equal success in challenging calls

    Step-by-step explanation:

    Sample size for men; n1 = 1425

    Number of success for men; x1 = 412

    Sample size for women; n2 = 739

    Number of success for women; x2 = 221

    Significance level; α = 0.05

    Sample proportion for men;

    p1 = x1/n1 = 412/1425

    p1 = 0.2891

    Sample proportion for women;

    p2 = x2/n2 = 221/739

    p2 = 0.2991

    From tables, z-score at significance level of 0.05 is 1.96.

    Formula for margin of error is;

    E = z√[(p1(1 – p1)/n1) + (p2(1 – p2)/n2)]

    Plugging in the relevant values;

    E = 1.96√[(0.2891(1 – 0.2891)/1425) + (0.2991(1 – 0.2991)/1425)]

    E = 1.96 × 0.0170687

    E = 0.0335

    Coordinates of the confidence interval will be;

    [(p1 – p2) – E], [(p1 – p2) + E]

    [(0.2881 – 0.2991) – 0.0335], [(0.2881 – 0.2991) + 0.0335]

    CI = (-0.0445, 0.0225)

    This means that the confidence interval contains 0 since it’s between (-0.0445 and 0.0225). Thus we can conclude that there is no sufficient evidence to men and women have equal success in challenging calls

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