Question

question 1 of 6, step 3 of 3
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step 3 of 3: make the decision and state the conclusion in terms of the original question.
answer
we fail to reject the null hypothesis and conclude that there is sufficient evidence at an 𝛼 = 0.10 level of significance to say it is less expensive to purchase textbooks from the online retailers than from local bookstores.
we reject the null hypothesis and conclude that there is sufficient evidence at an 𝛼 = 0.10 level of significance to say it is less expensive to purchase textbooks from the online retailers than from local bookstores.
we reject the null hypothesis and conclude that there is insufficient evidence at an 𝛼 = 0.10 level of significance to say it is less expensive to purchase textbooks from the online retailers than from local bookstores.
we fail to reject the null hypothesis and conclude that there is insufficient evidence at an 𝛼 = 0.10 level of significance to say it is less expensive to purchase textbooks from the online retailers than from local bookstores.

Explanation:

Step1: Understand hypothesis - testing conclusion

In hypothesis - testing, failing to reject the null hypothesis means there is not enough evidence to support the alternative hypothesis. Rejecting the null hypothesis means there is enough evidence for the alternative.

Step2: Analyze significance level

The significance level $\alpha = 0.10$. If the p - value is greater than $\alpha$, we fail to reject the null hypothesis. If the p - value is less than $\alpha$, we reject the null hypothesis.

Step3: Interpret the claim

The claim is about whether it is less expensive to purchase textbooks from online retailers than from local bookstores. Failing to reject the null hypothesis means there is insufficient evidence to support the claim.

Answer:

We fail to reject the null hypothesis and conclude that there is insufficient evidence at an $\alpha = 0.10$ level of significance to say it is less expensive to purchase textbooks from the online retailers than from local bookstores.