Let p equal the proportion of Americans who favor the death penalty. If a random sample of n = 1234 Americans yielded y = 864 who favored the death penalty, find an approximate 95% confidence interval for p.

Respuesta :

Answer:

(0.6744,0.7258)

Step-by-step explanation:

Given that p equal the proportion of Americans who favor the death penalty.

[tex]n=1234\\y=864\\p=\frac{864}{1234} \\=0.7002\\q=0.2998[/tex]

std error =[tex]\sqrt{\frac{pq}{n} } \\=0.0130[/tex]

95% confidence interval=p±*margin of error

margin of error = 1.96*std error =0.0256

Confidence interval lower bound=[tex]0.7002-0.0256\\=0.6744[/tex]

Upper bound =[tex]0.7002+0.0256\\=0.7258[/tex]

(0.6744,0.7258)