Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1 point 12 7. Expected 9.83 9.17 = 2.097, DF 2, P-value = 0.350 Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test? O This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren. O They lack evidence to say that shot type and player are not independent. O This is convincing evidence that shot type and player are not independent. O This isn't enough evidence to say that the distribution of shot type differs between Tabitha and Lauren.

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Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players-
Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have
similar or different shot selections. They take a random sample of Tabitha's games and a separate random
sample of Lauren's games. They tally how many of each type of shot the players attempted in those games.
Here is a summary and the results of a chi-square test:
Chi-square test: Shot vs.
player
Tabitha
Lauren
3-point
8
12
Expected
10.34
9.66
2-point
40
37
Expected
39.83
37.17
1 point
12
7.
Expected
9.83
9.17
X=2.097, DF 2, P-value 0.350
Assume that all conditions for inference were met.
At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test?
O This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.
O They lack evidence to say that shot type and player are not independent.
O This is convincing evidence that shot type and player are not independent.
O This isn't enough evidence to say that the distribution of shot type differs between Tabitha and Lauren.
Transcribed Image Text:Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1 point 12 7. Expected 9.83 9.17 X=2.097, DF 2, P-value 0.350 Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test? O This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren. O They lack evidence to say that shot type and player are not independent. O This is convincing evidence that shot type and player are not independent. O This isn't enough evidence to say that the distribution of shot type differs between Tabitha and Lauren.
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