Question

piercings and tattoos. A Harris Interactive survey of 514 human resources professionals showed that 46% of them say that piercings or tattoos are big grooming red flags. The margin of error for the survey was 4 percentage points.

A. Based on the given information, state what you think was the goal of the study. Identify a possible population and the population parameter of interest.

B. Briefly describe the sample, raw data, and sample statistic for the study.

C. Based on the sample statistic and the margin of error, identify the range of values (confidence interval) likely to contain the population parameter of interest.

Answer 1

Solution-A:

goal of the study was  piercings or tattoos are big grooming red flags.

possible population was all   human resources professionals who show that piercings or tattoos are big grooming red flags

population parameter of interest is population proportion denoted by p

p=proportion of human resources professionals who show that piercings or tattoos are big grooming red flags

B. Briefly describe the sample, raw data, and sample statistic for the study.

sample =n=514

sample statistic for the study is sample proportion of human resources professionals who show that piercings or tattoos are big grooming red flags

denoted by p^

p^=46%=0.46

C. Based on the sample statistic and the margin of error, identify the range of values (confidence interval) likely to contain the population parameter of interest.

sample statistic=p^=0.46

Margin of error=4 percentage points=0.04

95% confidence interval for true population proportion of human resources professionals who show that piercings or tattoos are big grooming red flags are

sample proportion-margin of error,sample proportion+margin of error

0.46-0.04,0.46+0.04

0.42,0.50

95% lower limit for p=0.42

95% upper limit for p=0.50

we are 95% confident that the true population of  human resources professionals who show that piercings or tattoos are big grooming red flags lies in between 0.42 and 0.50