In a poll of 588 human resource professionals, 46.6% said that body piercings an

Question

In a poll of 588 human resource professionals, 46.6% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below.

a) Among the 588 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big grooming red flags?

274

(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.)

c) Repeat part (b) using a confidence level of 80%.

(Round to three decimal places as needed)

Explanation / Answer

b)

p=46.6% =0.466

q=1-p =1-0.466 =0.534

For 99% confidence, the value of Z/2 is 2.576

     CI = p ± Z/2 × [(p×q)/n]

               =0.466 ± 2.576 x (0.466*0.534/588)

               =0.466 ± 0.05299

               =0.466-0.05299 to 0.466+0.05299

               =0.413 to 0.519

c)

p=46.6% =0.466

q=1-p =1-0.466 =0.534

For 99% confidence, the value of Z/2 is 2.576

     CI = p ± Z/2 × [(p×q)/n]

               =0.466 ± 1.28 x (0.466*0.534/588)

               =0.466 ± 0.02633

               =0.466-0.02633 to 0.466+0.02633

               =0.440 to 0.492

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