In Exercises 29–36, answer the given questions, which are related to percentages.Chillax USA Today reported results from a Research Now for Keurig survey in which 1458 men and 1543 women were asked this: “In a typical week, how often can you kick back and relax?”a. Among the women, 19% responded with “rarely, if ever.” What is the exact value that is 19% of the number of women surveyed?b. Could the result from part (a) be the actual number of women who responded with “rarely, if ever”? Why or why not?c. What is the actual number of women who responded with “rarely, if ever”?d. Among the men who responded, 219 responded with “rarely, if ever.” What is the percentage of men who responded with “rarely, if ever.”?e. Consider the question that the subjects were asked. Is that question clear and unambiguous so that all respondents will interpret the question the same way? How might the survey be improved?

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Asked Dec 23, 2019
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In Exercises 29–36, answer the given questions, which are related to percentages.

Chillax USA Today reported results from a Research Now for Keurig survey in which 1458 men and 1543 women were asked this: “In a typical week, how often can you kick back and relax?”

a. Among the women, 19% responded with “rarely, if ever.” What is the exact value that is 19% of the number of women surveyed?

b. Could the result from part (a) be the actual number of women who responded with “rarely, if ever”? Why or why not?

c. What is the actual number of women who responded with “rarely, if ever”?

d. Among the men who responded, 219 responded with “rarely, if ever.” What is the percentage of men who responded with “rarely, if ever.”?

e. Consider the question that the subjects were asked. Is that question clear and unambiguous so that all respondents will interpret the question the same way? How might the survey be improved?

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Expert Answer

Step 1

a).

It is mentioned that 19% of 1,543women said rarely, if ever.

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19 -× 1,543 100 19% of 1,543 = 293.17

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Step 2

b).

The number of women for 19% of 1,543 is 293.17 respondents. In general, the count of women cannot be a decimal number; it should be a whole number. Thus, the result in part (a) is not the actual number of women who responded with "rarely, ifever".

c).

The number of women for 19% of 1,543 is 293.17 respondents. Since, the number of women should be whole number, round o...

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219 Percentage = -x100 1, 458 = 0.15 x100 =15

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