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In an early home game, an NBA team made 72.34 percent of their 94 free throw att

ID: 3219834 • Letter: I

Question

In an early home game, an NBA team made 72.34 percent of their 94 free throw attempts. In one of their last home games, the team had a free throw percentage equal to 78.16 percent out of 87 attempts. Do basketball teams improve their free throw percentage as their season progresses? Test the hypotheses of equal free throw percentages, treating the early season and late season games as random samples. Use a level of significance of .10.

In an early home game, an NBA team made 72.34 percent of their 94 free throw attempts. In one of their last home games, the team had a free throw percentage equal to 78.16 percent out of 87 attempts. Do basketball teams improve their free throw percentage as their season progresses? Test the hypotheses of equal free throw percentages, treating the early season and late season games as random samples. Use a level of significance of .10.

Explanation / Answer

1) B is the correct answer. We test that null hypothesis that the difference is equal to zero. The alternative hypothesis is that the difference is not eqaul to zero

2)

The Z-Score is -0.9052. The p-value is 0.36282. The result is not significant at p <0.10. The proportion of Yes or No responses for Observation 1 is 0.723. The proportion for Observation 2 is 0.782.

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