In professional basketball games, the fans of the home team always try to distract free throw shooters on the visiting team. To investigate whether this tactic is actually effective, the free throw statistics of a professional basketball player with a high free throw percentage were examined. During the entire last season, this player had 656 free throws, 420 in home games and 236 in away games. The results are summarized below. Home Away Sample size, n 420 236 Free throw percent, p 81.5% 78.8% (a) State the null hypothesis Ho, alternative hypothesis H, and the tail test. (b) Calculate the test statistic Z* (c) Given a = 0.01, determine the Z- critical value.

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Kindly answer for part a) b) c) only.

In professional basketball games, the fans of the home team always try to distract free throw
shooters on the visiting team. To investigate whether this tactic is actually effective, the free
throw statistics of a professional basketball player with a high free throw percentage were
examined. During the entire last season, this player had 656 free throws, 420 in home games
and 236 in away games. The results are summarized below.
Home Away
Sample size, n
420
236
Free throw percent, p 81.5% 78.8%
(a)
State the null hypothesis Ho, alternative hypothesis H, and the tail test.
(b)
Calculate the test statistic Z*
(c)
Given a = 0.01, determine the Z- critical value.
Test, at the 1% level of significance, the hypothesis that there exists a home
advantage in free throws.
(d)
(e)
Calculate calculate the p-value and interpret the result.
Transcribed Image Text:In professional basketball games, the fans of the home team always try to distract free throw shooters on the visiting team. To investigate whether this tactic is actually effective, the free throw statistics of a professional basketball player with a high free throw percentage were examined. During the entire last season, this player had 656 free throws, 420 in home games and 236 in away games. The results are summarized below. Home Away Sample size, n 420 236 Free throw percent, p 81.5% 78.8% (a) State the null hypothesis Ho, alternative hypothesis H, and the tail test. (b) Calculate the test statistic Z* (c) Given a = 0.01, determine the Z- critical value. Test, at the 1% level of significance, the hypothesis that there exists a home advantage in free throws. (d) (e) Calculate calculate the p-value and interpret the result.
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