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Holiday Blues. A poll was conducted by Opinion Research Corporation to estimate the proportions of men and women who get the "holiday blues." Identify the

a. specified attribute.

b. two populations.

c. two population proportions.

d. two sample proportions.

e. According to the poll, 34%of men and 44%of women get the "holiday blues." Are the proportions 0.34and 0.44sample proportions or population proportions? Explain your answer.

Short Answer

Expert verified

a) Holidays blues

b) Both men and women

c) The "holiday blue" affects two demographic proportions: all males and all women.

d) The proportion of men and women who acquire the "holiday blues" is calculated.

e) Proportions of samples.

Step by step solution

01

Part(a) Step 1: Given Information

Opinion Research Corporation ran a poll to determine the ratios of men and women who suffer from the "holiday blues."

02

Part(a) Step 2: Explanation

The proportion of a population sample is the specified attribute.

The indicated characteristics are experiencing "holiday blues."

03

Part(b) Step 1: Given Information

Opinion Research Corporation ran a poll to determine the ratios of men and women who suffer from the "holiday blues."

04

Part(b) Step 2: Explanation

The population is the number of men and women who suffer from the "holiday blues."

As a result, there are two distinct populations: males and women.

05

Part(c) Step 1: Given Information

Opinion Research Corporation ran a poll to determine the ratios of men and women who suffer from the "holiday blues."

06

Part(c) Step 2: Explanation

The population is the number of men and women who suffer from the "holiday blues."

As a result, the "holiday blue" affects both men and women in equal numbers.

07

Part(d) Step 1: Given Information

Opinion Research Corporation ran a poll to determine the ratios of men and women who suffer from the "holiday blues."

08

Part(d) Step 2: Explanation

The following are the two sample proportions from the provided study:

  • The percentage of men in the sample who experience "holiday blues"
  • The percentage of women in the sample who experience "holiday blues"

As a result, the proportion of samples is for men and women who suffer from the "holiday blues."

09

Part(e) Step 1: Given Information

Men make up 34% of the poll, while women make up 44%.

10

Part(e) Step 2: Explanation

Because the poll employed a sample to determine the proportions, the proportions 0.34 and 0.44 are sample proportions.

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Most popular questions from this chapter

Obtain a formula for the margin of error, E, in estimating the difference between two population proportions by referring to Step 2 of Procedure 11.4on page 472 .

Margin of error=0.03

Confidence level=99%

Educated guess=0.5

(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5that of the educated guess.

(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.

Suppose that you can make reasonably good educated guesses, p^1gand p^2g, for the observed values of p^1and p^2.

a. Use your result from Exercise 11.132to show that a (1-ฮฑ)-level confidence interval for the difference between two population proportions that has an approximate margin of error of Ecan be obtained by choosing

n1=n2=p^1g1-p^1g+p^2g1-p^2gza/2E2

rounded up to the nearest whole number. Note: If you know likely ranges instead of exact educated guesses for the observed values of the two sample proportions, use the values in the ranges closest to 0.5as the educated guesses.

b. Explain why the formula in part (a) yields smaller (or at worst the same) sample sizes than the formula in Exercise 11.133.

c. When reasonably good educated guesses for the observed values of p^1and p^2can be made, explain why choosing the sample sizes by using the formula in part (a) is preferable to choosing them by using the formula in Exercise 11.133.

11.97 Sunscreen Use. Industry Research polled teenagers on sunscreen use. The survey revealed that 46% of teenage girls and 30% of teenage boys regularly use sunscreen before going out in the sun.
a. Identify the specified attribute.
b. Identify the two populations.
c. Are the proportions 0.46(46%) and 0.30(30%) sample proportions or population proportions? Explain your answer.

A poll conducted by Gallup in December 2013asked a sample of American adults whether they approved of the way President Obama was doing his job; 42%said yes, with a margin of error of plus or minus 3percentage points. During that same time period, Quinnipiac University asked the same question of a sample of American adults; 38%said yes, with a margin of error of plus or minus2 percentage points. Can the conclusions of both polls be correct? Explain your answer.

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