Question

In: Statistics and Probability

A newspaper article summarized data from a survey of 1,845 recruiters and human resource professionals. The...

A newspaper article summarized data from a survey of 1,845 recruiters and human resource professionals. The article indicated that 52% of the people surveyed had reconsidered a job candidate based on his or her social media profile. Assume that the sample is representative of the population of recruiters and human resource professionals in the United States.

(a)Use the given information to estimate the proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile using a 95% confidence interval. (Round your answers to three decimal places.)

(_________ , _________)

(b)Give an interpretation of the confidence level of 95%.

a. Of all possible random samples, 95% would result in an interval that is centered at the actual value of the population proportion.

b. Of all possible random samples, 95% would result in an interval that includes the actual value of the population proportion.    

c. Of all possible random samples, 5% would result in an interval that lies above the actual value of the population proportion.

d. Of all possible random samples, 95% would result in an interval that lies below the actual value of the population proportion.

e. Of all possible random samples, 5% would result in an interval that includes the actual value of the population proportion.

Solutions

Expert Solution

Let p denotes the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile.

a)

b) Interpretation :

ans-> b. Of all possible random samples, 95% would result in an interval that includes the actual value of the population proportion


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