Question

In a poll of

510

human resource​ professionals,

47.6%

said that body piercings and tattoos were big grooming red flags. Complete parts​ (a) through​ (d) below.

​a) Among the

510

human resource professionals who were​ surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags?

243

​(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<p<nothing

Answer 1

Given,

Number of human resource professionals in the poll : n= 510

Percentage of human resource professionals in the poll said that body piercings and tattoos were big grooming red flags = 47.6%

a)

Among the 510 human resource professionals who were​ surveyed, number of them said that body piercings and tattoos were big grooming red​flags = 47.6 % of 510 = (510 x 47.6)/100 = 242.76243

Answer : 243

b)

Formula confidence interval estimate of the population proportion

Sample proportion of human resource professionals believing that body piercings and tattoos are big grooming red flags: = 47.6/100 = 0.476

for 99% confidence level = (100-99)/100 =0.01

/2 =0.01/2=0.005

Z_/2 =Z_0.005 = 2.5758

99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags

99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags

0.419037 < p < 0.532963