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Chapter 9: Q.4 (page 597)

A significance test allows you to reject a null hypothesis H0 in favor of an alternative Ha at the 5% significance level. What can you say about significance at the 1% level?

(a) H0 can be rejected at the 1% significance level.

(b) There is insufficient evidence to reject H0 at the 1% significance level.

c) There is sufficient evidence to accept H0 at the 1% significance level.

(d) Ha can be rejected at the 1% significance level.

(e) The answer can’t be determined from the information given

Short Answer

Expert verified

The correct answer is (E) The answer can’t be determined from the information given.

Step by step solution

01

Given Information

You reject the null hypothesis H0 if and only if the P-value is less than the significance level.

02

Explanation

At the 5% significance level the null hypothesis was rejected:

P<0.05=5%

We then do not know if the P-value P is less than 1% or not, thus answer (e) is correct.

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Most popular questions from this chapter

Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of text in the common Times New Roman font in an average time of 22seconds. Researchers asked a random sample of 24adults to read this text in the omate font named Gigi. Here are their times, in seconds:

23.221.228.927.729.127.316.122.625.634.223.926.8
20.534.321.432.626.234.131.524.623.028.624.428.1

Do these data provide good evidence that the mean reading time for Gigi is greater than 22seconds? Carry out an appropriate test to help you answer this question.

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Which type of error is more serious in this case? Justify your answer?

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