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Chapter 9: Q. 58 (page 564)

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.

Short Answer

Expert verified

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

Step by step solution

01

Given information

Significance test about an unknown population proportion p.

The population distribution should be normal unless the sample size is large.

02

Explanation

The procedure for the significance test is as follows:

State: What hypotheses do you want to test, and at what significance level?

Define any parameters you use.

Plan: Choose the appropriate inference method. Check conditions.

Do: If the conditions are met, perform calculations.

  • Compute the test statistic.
  • Find the P-value.

Conclude: Interpret the results of your test in the context of the problem.

From the above statement, we conclude that the option b individual measurements should be independent of one another.

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Most popular questions from this chapter

pg559炉

No homework Refer to Exercises 1 and 9. What conclusion would you make at the伪=0.05伪=0.05level?

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?

Candy! A machine is supposed to fill bags with an average of 19.2 ounces of candy. The manager of the candy factory wants to be sure that the machine does not consistently underfill or overfill the bags. So the manager plans to conduct a significance test at the 伪=0.10significance level of

H0:渭=19.2Ha:渭notequalto19.2

where 渭=the true mean amount of candy (in ounces) that the machine put in all bags filled that day. The manager takes a random sample of 75 bags of candy produced that day and weighs each bag. Check if the conditions for performing the test are met.

Which of the following 95%confidence intervals would lead us to reject H0:p=0.30in favor of Ha:pnotequalto0.30at the 5%significance level?

a. (0.19,0.27)

b.(0.24,0.30)

c. (0.27,0.31)

d. (0.29,0.31)

e. None of these

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.
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