a-streaming-service-claims-that-the-distribution-of-user-preferences-for-movie-g

Question

A streaming service claims that the distribution of user preferences for movie genres follows this national pattern:

Action: $30 percent sign$

Comedy: $25 percent sign$

Drama: $20 percent sign$

Horror: $15 percent sign$

Science Fiction: $10 percent sign$

A survey of $400$ randomly selected users from the platform gives the following results:

At $alpha equals 0.05$ , test the claim that the streaming service users' preferences match the national distribution.

Accepted Answer

Fail to reject the null hypothesis; there is insufficient evidence to say the preferences differ from the national distribution.

Answer

Reject the null hypothesis; the users’ preferences are significantly different from the national distribution.

Answer

Accept the alternative hypothesis; user preferences follow a different distribution than the national one.

Answer

The $χ^{2}$ test is invalid because the sample size is too small.