Question

The table shows the results of four surveys that randomly sampled 30 teenagers about their favorite night to hang out with friends. Friday Saturday Sunday Total Survey: 1 9, 14, 7, 30 Survey 2: 11, 13, 6, 30 Survey 3: 10, 14, 6, 30 Survey 4, 7, 5, 18, 30 Identify surveys that are likely biased. Based on the unbiased surveys, what percent of the teenagers are likely to prefer hanging out with their friends on Saturday night? 21 % 34 % 38 % 46 %

Answer 1

The answer is 46%

Hope this helps!

Answer 2

The percentage is 46%.

Explanation:

Friday Saturday Sunday Total

Survey 1: 9 14 7 30

Survey 2: 11 13 6 30

Survey 3: 10 14 6 30

Survey 4: 7 5 18 30

The surveys that are unbiased are:

Survey 1, survey 2 and survey 3 since in all the three surveys the number of teenagers increased on Saturday night and decreases in the Sunday night.

Whereas in Survey 4 the number of teenagers decreases in Saturday night and increases in Sunday night.

Hence Survey 4 is the biased survey.

(Since a statistic is biased if it is calculated in such a way that it is systematically different from the population parameter being estimated)

Hence, based on the unbiased survey the percent of teenagers that are likely to prefer hanging out with their friends on Saturday night are calculated as:

`=(14)/(30)* 100\\\\=46.66\%`

Also,

`=(13)/(30)* 100=43.333\%`

Hence, the percentage is likely to be:

46%