Question

In a poll of 568 human resource​ professionals, 35.9​% said that body piercings and tattoos were big grooming red flags. Complete parts​ (a) through​ (d) below. ​a) Among the 568 human resource professionals who were​ surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags? 204 ​(Round to the nearest integer as​ needed.) ​b) Construct a​ 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags. nothingless than p less than nothing ​(Round to three decimal places as​ needed.)

Answer 1

a)

Expected number of people said that body piercings and tattoos were big grooming red flags = 568 * 0.359

= 204

b)

= 1 - 0.99 = 0.01

Z/2 = 2.576 (From Z table)

99% confidence interval for p is

- Z/2 * sqrt [ ( 1 - ) / n] < p < + Z/2 * sqrt [ ( 1 - ) / n]

0.359 - 2.576 * sqrt [ 0.359 * ( 1 - 0.359) / 568 ] < p < 0.359 -+2.576 * sqrt [ 0.359 * ( 1 - 0.359) / 568 ]

0.307 < p < 0.411