Question

Question

Use the following to answer all of the questions. According to the Pew Internet and American Life Project 75% of American adults use the Internet. A survey of 600 adults aged 50-64 found 420 used the Internet (70%). We want to determine whether the proportion of Internet users age 50-64 differs from the overall proportion of 0.75. What is the alternative hypothesis?

Group of answer choices

a) µ ≠ 0.75

b) p ≠ 0.75

c) p ≠ 0.70

d) p < 0.75

Question 2

Compute the test statistic. Give your answer to 2 decimal places.

Question 3

Compute the p-value. Give your answer to 4 decimal places.

Question 4

If α = 0.05, what is the conclusion to the test?

a) Reject H0

b) Do not reject H0

Answer 1

Solution:

The alternative hypothesis is:

Hence the option B is correct

Compute the test statistic.

Answer:

  

Compute the p-value.

Answer:

The p-value is:

Using the standard normal table, we have:

Question 4

If α = 0.05, what is the conclusion to the test?

Answer: a) Reject H0 because p-value is less than the significance level 0.05