Question

A video game streamer with a lot of subscribers (say 20,000) wants to switch to a new video game. The streamer will only do this if there is evidence that more that 75% of his subscriber base would be interested in watching the new game. He randomly selects 800 subscribers and asks if they would be interested in watching the new game. 632 say yes. We will do a hypothesis test to assess whether the streamer should switch games.

Using your p-value from the previous questions, assess the strength of evidence against the null hypothesis and give the final statement.

There is weak evidence against the null hypothesis. Final statement: There is weak evidence that more than 75% of subscribers are interested in the new game.

There is moderate evidence against the null hypothesis. Final statement: There is moderate evidence that more than 75% of subscribers are interested in the new game.

There is strong evidence against the null hypothesis. Final statement: There is strong evidence that more than 75% of subscribers are interested in the new game.

There is strong evidence in favor of the null hypothesis. Final statement: There is strong evidence that exactly 75% of subscribers are interested in the new game.

Answer 1

= 632 / 800 = 0.79

The Hypothesis:

H0: p = 0.75

Ha: p > 0.75

This is a Right tailed Test.

The Test Statistic:

The p Value:    The p value (Right tail) for Z = 2.61, is; p value = 0.0045

Since p value is very small (less than 0.01), Option 3: There is strong evidence against the Null Hypothesis.

Final Statement: There is strong evidence that more than 75% of subscribers are interested in the new game.