According to the Gallup Crime survey the percentage of gun o

According to the Gallup Crime survey, the percentage of gun owners is presented in the table to the right. From a random sample of 160 gun owners, 26 were female. Determine the upper boundary of the interval containing the percentage of the sample proportions based on the value presented below

Interval specified = 85.58%

Male: 68%

Female: 32%

Solution

p = 26/160 = 0.1625

Standard Error = sqrt(p(1-p)/n)

= sqrt(0.1625*(1-0.1625)/160)

= 0.0291

z for 85.58% confidence Interval = 1.44

Margin of error = z * SE = 1.44 * 0.0291 = 0.0419

Confidence Interval:

(0.32 - 0.0419 , 0.32 +0.0419)

= ( 0.2781 ,0.3619 ) Answer