91影视

There are 1458 men and 1543 women in the survey.

The question of the survey is, 鈥淗ow often can you kick back and relax?鈥�

a.

Of 1543 women, 19% responded, 鈥淩arely, if ever.鈥�

The percentage symbol implies the value is divided by 100.

Here,19% of the total women surveyed are:

\(\begin{aligned}{c}19\% \times 1543 = \frac{{19}}{{100}} \times 1543\\ = 293.17\end{aligned}\)

Thus, the exact value is 293.17.

b.

The actual count of women who responded 鈥渞arely, if ever鈥� is in decimal form. And the expected count is in the whole number.

Thus, the actual count cannot be 293.17.

c.

To estimate the closest actual count of responses, convert the decimal value to a whole number.

In this case, the rounded-off value is 293.

Thus, the actual number of the proposed responses is expected to be close to 293.

d.

Of1458 men, 219 responded, 鈥淩arely, if ever.鈥�

The fraction of men who gave this response is\(\frac{{219}}{{1458}}\).

The percentage is obtained by multiplying thefraction by 100.

Therefore,

\(\frac{{219}}{{1458}} \times 100 \approx 15.0206\% \)

Thus, the percentage of men who responded is 15.0206%, approximately.

e.

The question of the survey is, 鈥淚n a typical week,how often can you kick back and relax?鈥�

Each respondent may interpret the question differently as it is asked in qualitative categories, one of them being 鈥渞arely, if ever.鈥�

In such a case, the qualitative approach may lead to different interpretations.

The survey can be improved by asking responses in the quantitative format, that is, asking the number of days in a week.