In a al) Among the 503 human resource professionals who were surveyed, how many
ID: 3042507 • Letter: I
Question
In a al) Among the 503 human resource professionals who were surveyed, how many of them said that body plercings and tatoos were big grooming red tags? 207 (Round to the nearest integer as needed ) b Co struct a 99% con ence interval estimate of the proportion of all human resource professionals bei evng that bod piercings and t noos are b g o ng red nags 0.355, p 0.468, Round to three decimal places as needed) c) Repeat part (b) using a confidence level of 80% Round to three decimal places as needed.)Explanation / Answer
a)
503 *(41.2/100)
=207.236
=207
b)
Margion of error = 2.576 *sqrt(0.412*(1-0.412)/503) =0.057
Hence 99% CI is
(0.412 -0.057, 0.412+0.057)=(0.355, 0.469)
c)
Standard error of the mean = SEM = x(N-x)/N3 = 0.022
= (1-CL)/2 = 0.100
Standard normal deviate for = Z = 1.282
Proportion of positive results = P = x/N = 0.412
Lower bound = P - (Z*SEM) = 0.383
Upper bound = P + (Z*SEM) = 0.440
hence, interval is (0.383, 0.440)
0.383 <p<0.440