Question

A poll of 2 comma 085 randomly selected adults showed that 94​% of them own cell phones. The technology display below results from a test of the claim that 91​% of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a 0.05 significance level to complete parts​ (a) through​ (e). Test of pequals0.91 vs pnot equals0.91 Sample X N Sample p ​95% CI ​Z-Value ​P-Value 1 1957 2 comma 085 0.938609 ​(0.928306​,0.948913​)

Answer 1

Here test is two tailed.

The test statistics is

z = 4.76

The p-value is : 0.000

Since p-value is less than 0.05 so we reject the null hypothesis.

The 95% confidence interval is (0.928, 0.949).