Question

During this past tennis season, the Team A won 177 of 200 games while the Team...

During this past tennis season, the Team A won 177 of 200 games while the Team B won 117 of 130 games. We’re interested in determining if Team A is significantly worse than Team B. At a 5% level of significance, conduct the appropriate hypothesis test.

a. Ho: pA = pB Ha: pA pB

b. Test statistic:   =  Round to 2 decimals.

c. p-value =   Round to 4 decimals.

d. Interpretation of the p-value: If the null hypothesis is   , then there is a  probability that the difference between sample proportions is   . Round to 4 decimals. (Instructions: first box: True or False, second box: p-value, third box: >, < or not equal, fourth box: sample statistic)

e. Decision:   (Reject H0 or Do not reject H0

f. Conclusion: There is  (sufficient / insufficient) evidence to conclude that Team A is   (better than / worse than) Team B.

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