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Chapter 8: Q25 (page 372)

Final Conclusions. In Exercises 25鈥�28, use a significance level of = 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Original claim: More than 58% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.3257.

Short Answer

Expert verified

a. The null hypothesis fails to reject at a 0.05 level of significance.

b. There is not sufficient evidence to conclude that the percentage of adults who would erase all of their personal information online if they could is more than 58%.

Step by step solution

01

Given information

A claim is tested that more than 58% of adults would erase all of their personal information online if they could. The p-value for this test is equal to 0.3257.

The significance level is 0.05.

02

Identify the hypotheses

Let p be the population proportion of adults who would erase all of their personal information online if they could.

In correspondence with the given claim, the following hypotheses are set up:

Null Hypothesis : p = 0.58

Alternative Hypothesis : p>0.58

03

Decision about the test

a.

If the p-value is less than the level of significance, the null hypothesis is rejected; otherwise, not.

Here, the level of significance is equal to 0.05, and the p-value is equal to 0.3257.

Since the p-value is greater than 0.05, so the decision fails to reject the null hypothesis.

04

Conclusion

b.

There is not sufficient evidence to support the claim that more than 58% of adults who would erase all of their personal information online if they could.

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178 177 176 174 175 178 175 178 178 177 180 176 180 178 180 176

Critical Values. In Exercises 21鈥�24, refer to the information in the given exercise and do the following.

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Exercise 20
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