Question

The accompanying table shows results of challenged referee calls in a major tornis tournament. Use a 006 significance level to test the claim that the gender of the tennis player is independent of whether a cat is overtumed. Click the icon to view the table OAH: The gender of the tennis player is independent of whether a call is overtumed. H,: The gender of the tennis player is not independent of whether a call is overtumed. OB. My: The gender of the tennis player is not independent of whether a call is overtumed. Hy: The gender of the tennis player is independent of whether a calls overtumed. OC. Ho: Male tennis players are not more successful in overturning cats than female players. H: Male tennis players are more successful in overturning calls than female players OD. Ho: Male tennis players are more successful in overturning calls than female players H: Male tennis players are not more successful in overturning calls than female players Determine the best statistic 7-(Round to three decimal places as needed) Determine the value of the test statistic P.value - (Round to four decimal places as needed) Use a 0.05 significance level to test the claim that the gender of the tornis player is independent of whether a call is overtumed. Choose the correct answer below. OA. There is not suficient evidence to warrant rejection of the claim that the gender of the tennis player is independent of whether a call is overturned. OB. There is not sufficient evidence to warrant rejection of the claim that male tennis players are more success in overturning calls the female onnis players O c. There is sufficient evidence to warrant rejection of the claim that male tennis players are more successful in overturning calls than female tennis players. OD. There is sufficient evidence to warrant rejection of the claim that the gender of the tennis player is independent of whether a call is over med Click to select your answers)

Answer 1

The null and alternative hypothesis are,

H₀ : The gender of the tennis player is independent of whether the call is overturned.

H_a : The gender of the tennis player is not independent of whether the call is overturned.

Gender	Yes	No	Total
Men	234	700	934
Women	418	858	1276
Total	652	1558	2210

The test statistics is,

$\small \chi^{2}=n(\sum \sum \frac{f_{ij}^{2}}{f_{i0}f_{0j}}-1)$

  

234 8582 2210( ++ -1 652 + 934 1558 + 1276

  $\small =15.393$

P-value = 0.0001

there is sufficient evidence to warrant rejection of the claim that the gender of the tennis player is independent of weather the call is overturned.

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