High School

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, 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.

Are the conditions for inference met for conducting a z-test for one proportion?

A. Yes, the random, 10%, and large counts conditions are all met.
B. No, the random condition is not met.
C. No, the 10% condition is not met.
D. No, the large counts condition is not met.

Answer :

We can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Yes, the conditions for inference are met for conducting a z-test for one proportion.

The random condition is met because the sample is chosen randomly from the large population of all players.

The 10% condition is also met since the sample size (100) is less than 10% of the entire population.

The large counts condition is met because both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the hypothesized proportion of players who win the game. In this case, np = 100 * 0.1 = 10 and n(1-p) = 100 * 0.9 = 90.

Therefore, we can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.

To learn more about Algebraic expression from given link.

brainly.com/question/953809

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