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Chapter 9: Q 18. (page 565)

Don鈥檛 argue Refer to Exercises 2 and 12.

a. What conclusion would you make at the 伪=0.01 level?

b. Would your conclusion from part (a) change if a 5% significance level was used

instead? Explain your reasoning.

Short Answer

Expert verified

a. The evidence is present that percentage of teens in school that claim that they never argue with friends is different from 72%

b. From the given condition here, the conclusion is changed.

Step by step solution

01

Given Information

It is given that P=0.0291=2.91%

伪=0.01

Proportion is72%

02

To find the conclusion at α=0.01 level

Claim can be null of alternative hypothesis.

Null Hypothesis is the population proportion is value given in claim. Alternative hypothesis is opposite of null hypothesis.

H0:p=72%=0.72

H1:p鈮�0.72

If pvalue<伪, null hypothesis is rejected.

0.0291<0.01鈬�Fail to rejectH0

Hence, the evidence is present that percentage of teens in school that claim that they never argue with friends is different from 72%

03

If above conclusion changed if 5% significance level is used

If significance level is 5%=0.05

Here 0.0291<0.05,rejectH0

The conclusion is changed.

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Most popular questions from this chapter

Explaining confidence: Here is an explanation from a newspaper concerning one of its opinion polls. Explain what is wrong with the following statement.

For a poll of 1600 adults, the variation due to sampling error is no more than 3

percentage points either way. The error margin is said to be valid at the 95%

confidence level. This means that, if the same questions were repeated in 20 polls, the results of at least 19 surveys would be within 3 percentage points of the results of this survey.

Attitudes Refer to Exercise 4. In the study of older students鈥� attitudes, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. A significance test yields a P-value of 0.0101.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

No homework? Refer to Exercise 1. The math teachers inspect the

homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

Tests and confidence intervals The P-value for a two-sided test of the null hypothesis H0:渭=15is0.03

a. Does the 99% confidence interval for 渭 include 15? Why or why not?

b. Does the 95% confidence interval for 渭 include 15? Why or why not?

We want to be rich In a recent year, 73%of first-year college students responding to a national survey identified 鈥渂eing very well-off financially鈥� as an important personal goal. A state university finds that 132of an SRS of 200of its first-year students say that this goal is important. Is there convincing evidence at the 伪=0.05significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value of 73%?
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