Please provide steps and explanation for the following question. A study of the

Question

Please provide steps and explanation for the following question. A study of the survival of small businesses chose an SRS from the telephone directory's Yellow Pages listings of food-and-drink businesses in 13 counties in central Indiana. For various reasons, the study got no response from 50% of the businesses chosen. Interviews were completed with 145 businesses. Three years later, 21 of these businesses had failed.

Give a 91% confidence interval (±0.001) for the percent of all small businesses in this class that fail within three years: ___ < p <___

Based on the results of this study, how large a sample would you need to reduce the margin of error to 0.03? n = Comment

Explanation / Answer

alpha / 2 = 1 -0.91 / 2 = 0.045

Z = 1.70

I: p +/- Z * srqt ( p * q / n )

p = 21 / 145 = 0.14

I: 0.14 +/- 1.70 * srqt ( 0.14*0.86 / 145 )

0.14 +/- 0.049

0.091 < p < 0.189

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.