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Chapter 11: Q.11.3 (page 459)

Is a population proportion a parameter or a statistic? What about a sample proportion? Explain your answers.

Short Answer

Expert verified

Population proportion is a parameter.

Sample proposition is a statistic.

Step by step solution

01

Given information

Given in the question that, we need to find that whether a population proportion is a parameter or a statistic.

02

Explanation

Parameter :A parameter is a value that is calculated from a set of data.

Statistic :A statistic is a numerical value derived from a sample.

As the population proportion is a descriptive measure of population, it is obvious that it is a parameter. Because it is a descriptive measure of sample, the sample proposition is a statistic.

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Most popular questions from this chapter

Buckling Up. The National Highway Traffic Safety Administration collects data on seat-belt use and publishes results in the document Occupant Restraint Use. Of 1000 drivers 16-24 years old, 79% said that they buckle up, whereas 924 of 1100 drivers 25-69 years old said that they did. At the 1%significance level, do the data provide sufficient evidence to conclude that there is a difference in seat-belt use between the two age groups?

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=35

n=50

H0:p=0.6

role="math" localid="1651304589496" Ha:p>0.6

α=0.05

Ballistic Fingerprinting. Refer to Exercise 11.110 and find and interpret a 98%confidence interval for the difference between the percentages of women and men who favor ballistic fingerprinting.

We have given a likely range for the observed value of a sample proportionp^

0.2orless

a. Based on the given range, identify the educated guess that should be used for the observed value of p^to calculate the required sample size for a prescribed confidence level and margin of error.

b. Identify the observed values of the sample proportion that will yield a larger margin of error than the one specified if the educated guess is used for the sample-size computation.

Drinking Habits. In a nationwide survey, conducted by Pulse Opinion Research, LLC for Rasmussen Reports, 1000 American adults were asked, among other things, whether they drink alcoholic beverages at least once a week; 38% said "yes." Determine and interpret a 95% confidence interval for the proportion, p, of all American adults who drink alcoholic beverages at least once a week.
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