Can someone help me with these statistics questions using R 1. In a poll of 548

Question

Can someone help me with these statistics questions using R

1. In a poll of 548 human resource professionals, 43.2% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (f) below. a. What is the parameter for this study? b. What is the statistic for this study? c. Among the 548 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big grooming red flags? d. Obtain a point estimate for the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags. e. 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. (Verify that the requirements for constructing a confidence interval for p is satisfied). Interpret the confidence interval. R-CODE RESULT

Explanation / Answer

Q1

> n=548
> phat=0.432
> n0=0.432*n
> n0
[1] 236.736
> Z=qnorm(1-0.02/2)
> Z
[1] 2.326348
> SE=sqrt(phat*(1-phat)/n)
> SE
[1] 0.02116049
> LCL=phat-Z*SE
> LCL
[1] 0.3827733
> UCL=phat+Z*SE
> UCL
[1] 0.4812267
> CI=c(LCL,UCL)
> CI
[1] 0.3827733 0.4812267

a) The parameters are n: Sample size (548)

phat:Sample proportion(0.432)

b) The statistic is Population proportion p.

c) The number of person who surveyed says that body piercing and tatoos were big body grooming is

n0= 236.736 = 237

d) The point estimate for population proportion is p=0.432

e) The 99% confidence onterval for the population proportion is

CI
[1] 0.3827733 0.4812267

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