An article included data from a survey of 1 015 hiring

Last updated: 11/27/2023

An article included data from a survey of 1 015 hiring managers and human resource professionals The article noted that many employers are using social networks to screen job applicants Of the 1 015 people who participated in the survey 699 indicated that they use social networking sites to research job applicants For the purposes of this exercise assume that the sample can be regarded as a random sample of hiring managers and human resource professionals a Suppose you are interested in learning about the value of p the proportion of all hiring managers and human resource managers who use social networking sites to research job applicants This proportion can be estimated using the sample proportion p What is the value of p for this sample Round your answer to four decimal places p b Based on what you know about the sampling distribution of p is it reasonable to think that this estimate is within 0 02 of the actual value of the population proportion Explain why or why not Round your answer to four decimal places X In addition We know the sampling distribution of p will be centered at the population proportion px and the standard deviation of this distribution can be estimated as 0 02 the sampling distribution is not mound shaped and symmetric X So we cannot say our value of p is likely to be within 0 02 of the actual value because of the following fact The Empirical Rule implies about 95 of our sampling distribution s values will fall within two standard deviations of the center but two standard deviations is greater than 0 02 The Empirical Rule implies about 95 of our sampling distribution s values will be at most one standard deviation away from the center and our standard deviation is less than 0 02 The Empirical Rule implies about 95 of our sampling distribution s values will be at most one standard deviation away from the center but our standard deviation is greater than 0 02 We cannot make use of the Empirical Rule since our sampling distribution isn t mound shaped and symmetric O The Empirical Rule implies about 95 of our sampling distribution s values will fall within two standard deviations of the center and two standard deviations is less than 0 02 X