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Section 9.1 Homework Question 1
Section 9.1 Homework
1. Since an instant replay system for tennis was introduced at a major tournament, men challenged 1423 referee calls, with the result that 414 of the calls were overturned. Women challenged 751 referee calls, and 228 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. Complete parts (a) through (c) below.
Test the claim using a hypothesis test.
Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test?
Identify the test statistic.
z= ____
Identify the P-value.
P-value = ______
What is the conclusion based on the hypothesis test?
The P-value is ______ the significance level of á=0.05, so ________ the null hypothesis. There __________________ evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is _____
What is the conclusion based on the confidence interval?
Because the confidence interval limits __________0, there ________ appear to be a significant difference between the two proportions. There ___________ evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
Based on the results, does it appear that men and women may have equal success in challenging calls?
- The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that women have more success.
- The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
- The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that men have more success.
- There is not enough information to reach a conclusion.