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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