In a recent Harris poll of 514 human resource professionals, 46% of them said th

Question

In a recent Harris poll of 514 human resource professionals, 46% of them said that body piercings and tattoos were big grooming "red flags". Conduct a hypothesis test to determine if less than 50% of all human resource professionals say that body piercings and tattoos were big grooming "red flags". Use 0.05 level of significance. a. State the research/alternate hypothesis and the null hypothesis. b. Identify the characteristics of the comparison (Ho) distribution. c. Determine correct hypothesis test to use, then use level of significance to determine either alpha or cutoff score(s). d. Determine either the p-value or the sample statistic. e. Determine whether to reject/fail to reject the null hypothesis, AND state the result of the test (either research hypothesis supported, or study is inconclusive).

Explanation / Answer

a)null hypothesis: Ho: p=0.5 (% of HR professional saying tattoos and piercing were big grooming red flag was 50%)

alternative hypothesis: p<0.5(% of HR professional saying tattoos and piercing were big grooming red flag was less then 50%)

b)here n=514 and p=0.5

as np>10 and n(1-p)>10 distribution is approximately normal

c)we will apply one sample proportion z test .level of significance =0.05

cutoff score z<-1.645

d)std error =(p(1-p)/n)1/2 =0.022

hence test stat =(phat-p)/std error =(0.46-0.50)/0.022=-1.8137

e) as test stat is in critical region we reject null hypothesis.

therefore we have sufficient evidence at 0.05 level to conclude that % of HR professional saying tattoos and piercing were big grooming red flag was less then 50%

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