Question

A statistician wishing to test a hypothesis that students score at least 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the students on the exam is 78%.The hypothesis the statistician wants to test is:

Answer 1

None of the above, since P(C(x)) is meaningless, is the correct answer on the multiple choice question

Explanation:

Answer 2

The required hypothesis the statistician wants to test is:
`H_0: \mu=75` and
`H_a: \mu>75`.

Explanation:

Consider the provided information.

If there is no statistical significance in the test then it is know as the null which is denoted by
`H_0`, otherwise it is known as alternative hypothesis which denoted by
`H_a`.

A statistician wishing to test a hypothesis that students score at least 75% on the final exam.

That means the null hypothesis should be:

`H_0: \mu=75`

Hence, the alternative hypothesis is students score is more that 75%

`H_a: \mu>75`

The required hypothesis the statistician wants to test is:
`H_0: \mu=75` and
`H_a: \mu>75`.