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What conclusion should be made at the a = 0.05 level?

What conclusion should be made at the a = 0.05 level?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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What conclusion should be made at the a = 0.05 level? A camival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. The computer output gives the results of a z-test for one proportion. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.10. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.19. O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of players who win this game differs from 0.10. Test and CI for One Proportion O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of Test of p = 0.1 vs p 0.1 players who win this game differs from 0,19. Sample Sample 95% CI z- P. 1 19 100 (0.113, Value value 0.19 0.267) 3.00 0.0027 Mark this and retum Save and Exit Next Submit Cup Ce 6. 8. m
Transcribed Image Text:What conclusion should be made at the a = 0.05 level? A camival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. The computer output gives the results of a z-test for one proportion. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.10. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.19. O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of players who win this game differs from 0.10. Test and CI for One Proportion O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of Test of p = 0.1 vs p 0.1 players who win this game differs from 0,19. Sample Sample 95% CI z- P. 1 19 100 (0.113, Value value 0.19 0.267) 3.00 0.0027 Mark this and retum Save and Exit Next Submit Cup Ce 6. 8. m
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