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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

Jump around Refer to Exercise 78.

a. Construct and interpret a 90% confidence interval for the true mean vertical jump 渭(in inches) of the students at Haley, Jeff, and Nathan鈥檚 school. Assume that the conditions for inference are met.

b. Explain why the interval in part (a) is consistent with the result of the test in Exercise 78

A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of H0:p=0.5H0:p=0.5versus Ha:p>0.5Ha:p>0.5

is which of the following?

a)z=0.59-0.50.59(0.41)100

b)z=0.59-0.50.5(0.5)100

c)z=0.5-0.590.59(0.41)100

d)z=0.5-0.590.5(0.5)100

e)z=0.59-0.5100

You are thinking of conducting a one-sample ttest about a population mean 渭using a 0.05significance level. Which of the following statements is correct?

a. You should not carry out the test if the sample does not have a Normal distribution.

b. You can safely carry out the test if there are no outliers, regardless of the sample size.

c. You can carry out the test if a graph of the data shows no strong skewness, regardless of the sample size.

d. You can carry out the test only if the population standard deviation is known.

e. You can safely carry out the test if your sample size is at least 30 .

According to the Bureau of Labor Statistics, the average age of American workers is 41.9years. The manager of a large technology company believes that the company鈥檚 employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages.

Here are the data:

27 38 32 24 30 47 42 38 27 43 37 33

a. State appropriate hypotheses for testing the manager鈥檚 belief. Be sure to define the parameter of interest.

b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met.

c. The P-value of the test is0.003. Interpret this value. What conclusion would you make?

Which of the following is not a condition for performing a significance test about an unknown population proportion p?

(a) The data should come from a random sample or randomized experiment.

(b) Individual measurements should be independent of one another.

(c) The population distribution should be approximately Normal, unless the sample size is large.

(d) Both np and n(1 - p) should be at least 10.

(e) If you are sampling without replacement from a finite population, then you should sample no more than 10% of the population.
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