Question

In: Statistics and Probability

Job Interviews: In a Harris poll of 514 human resource professionals, 463 human resource professionals said...

Job Interviews: In a Harris poll of 514 human resource professionals, 463 human resource professionals said the appearance of a job applicant is the most important for a good first impression. Use a 95% confidence level to construct a population percentage.

Expert Solution

Solution :

Given that,

n = 514

x = 463

Point estimate = sample proportion = = x / n = 463/514=0.901

1 - = 1-0.901=0.099

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Margin of error = E = Z/2 * $\sqrt$ ((( * (1 - )) / n)

= 1.96 ( $\sqrt$ ((0.901*0.099) /514 )

= 0.0258

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.901-0.0258 < p < 0.901+0.0258

0.8752< p < 0.9268

The 95% confidence interval for the population proportion p is : 0.8752, 0.9268

orchestra answered 2 years ago

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