Question

A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if the proportion of their users who use Firefox is significantly different from 0.2. In a sample of 200 of their users, 32 users stated that they used Firefox. Using this data, conduct the appropriate hypothesis test using a 0.05 level of significance.

a) What are the appropriate hypotheses?

H₀: p = 0.2 versus H_a: p < 0.2

H₀: p = 0.2 versus H_a: p > 0.2    

H₀: p = 0.2 versus H_a: p ? 0.2

H₀: ? = 0.2 versus H_a: ? > 0.2

b) What is the test statistic? Give your answer to four decimal places.  

c) What is the P-value for the test? Give your answer to four decimal places.  

d) What is the appropriate conclusion?

Conclude that the Firefox proportion is not 0.2 because the P-value is smaller than 0.05.

Conclude that the Firefox proportion is not 0.2 because the P-value is larger than 0.05.    

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is larger than 0.05.

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is smaller than 0.05.

Answer 1