Explain why the difference in match win probabilities is significant. (ii) Explain why the number of challenges remaining in the set is significant. (iii) On what basis did the authors conclude that players challenge too few calls

The number of observations in model 1 are more compared with model 2 and model 3. And, the coefficient values increased from model 1 to model 3. Moreover, the standard error values are increased. Hence, the test statistic value increases. Therefore, the variable “difference in match win probabilities” is significant.

State the null and alternative Hypotheses:

Null Hypothesis:

H0: The difference in match win probabilities is not significant.

Alternative Hypothesis:

H1: The difference in match win probabilities is significant.

From the given information (model 3), the coefficient of “The difference in match win probabilities” is -0.550 and the corresponding standard error is 0.240. The sample size is 1973.

The test statistic is -2.2917 and it is calculated below: on the picture attached.

Statistics homework question answer, step 1, image 1

The number of sample observations is n=1973 and consider the level of significance as 0.05.

The degree of freedom is, n – 1 = 1973–1 = 1972.