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Mathematics, 29.04.2021 18:30 juanesmania

A carnival 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 power of this test to reject the null hypothesis if p = 0.19 is 0.79 using a significance level of α = 0.05. What are two ways to increase the power of this test?

Increase the sample size and increase the significance level.
Decrease the sample size and decrease the significance level.
Decrease the sample size and leave the significance level as is.
Leave the sample size as is and decrease the significance level.

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