Question

In a survey of 1000 women age 22 to 35 who work full time, 540 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group. What percentage of women in the targeted age group indicated that they would be willing to give up some personal time in order to make more money?

1) 54%
2) 54.5%
3) 55%
4) 55.5%

Answer 1

The percentage of women in the targeted age group who indicated they would give up personal time for more money is 54%, obtained by dividing the number of affirmative responses by the total surveyed and then multiplying by 100.

Step-by-step explanation:

In a survey of 1000 women aged 22 to 35 who work full time, 540 indicated that they would be willing to give up some personal time in order to make more money. To find the percentage of women in the targeted age group willing to make this trade-off, we divide the number of women willing (540) by the total number surveyed (1000) and then multiply the result by 100 to convert it into a percentage.

Performing this calculation:

(540 ÷ 1000) × 100 = 54%

Therefore, 54% of the women in the targeted age group indicated that they would be willing to give up some personal time to make more money. This is the correct answer, neatly aligning with option 1).