Question

A textbook company claims that their book is so engaging that less than 55% of students read it. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted?

a. There is sufficient evidence to support the claim that less than 55% of students read this text

b. There is not sufficient evidence to support the claim that less than 55% of students read this text

c. There is sufficient evidence to support the claim that no more than 55% of students read this text

d. There is not sufficient evidence to support the claim that no more than 55% of students read this text

Answer 1

The answer is B.

Explanation:

The example given in the question uses the null hypothesis versus the alternative hypothesis. Null hypothesis is the statement that is tested to be true or not and if it is not true, then the alternative hypothesis is accepted.

In the example, it is stated that the hypothesis test for the null hypothesis failed which means that the statement given on the percentage of students who read the book is false.

Then the option b is going to be interpreted which claims that the null hypothesis is false and there is not enough evidence to say that less than 55% of students read the textbook.

I hope this answer helps.