In: Statistics and Probability
A recently published article included data from a survey of 2186 hiring managers and human resource professionals. The article noted that many employers are using social networks to screen job applicants and that this practice is becoming more common. Of the 2186 people who participated in the survey, 1312 indicated that they use social networking sites (such as Facebook, MySpace, and LinkedIn) to research job applicants. Based on the survey data, is there convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way? Use a significance level of ?=0.01to make your conclusion
.1.Calculate the test statistic.
2.Use a significance level of ?=0.01to make your conclusion.
Ho : p = 0.67
H1 : p < 0.67 (Left
tail test)
Level of Significance, α =
0.01
Number of Items of Interest, x =
1312
Sample Size, n = 2186
Sample Proportion , p̂ = x/n =
0.6002
Standard Error , SE = √( p(1-p)/n ) =
0.0101
Z Test Statistic = ( p̂-p)/SE = (
0.6002 - 0.666666667 )
/ 0.0101 =
-6.5940
2)
p-Value = 0.00000 [excel function
=NORMSDIST(z)]
Decision: p-value<α , reject null hypothesis
There is enough evidence that fewer than
two-thirds of hiring managers and HR professionals use social
networking sites in this way
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