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, 26 users stated that they used Firefox. Using this data, conduct the appropriate hypothesis test using a 0.1 level of significance.

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

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

Question

Newt

Mathematics

6 July, 09:54

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, 26 users stated that they used Firefox. Using this data, conduct the appropriate hypothesis test using a 0.1 level of significance.

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

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

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Answers (1)

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Carson Ochoa · Answer 1

= 0.085

Step-by-step explanation:

Let denotes the sample proportion.

As per given, we have

n = 200

Critical value for 99% confidence:

Confidence interval for population proportion : -

Hence, a 99% confidence interval for the proportion of all individuals that use Firefox:

The lower limit on the 99% confidence interval = 0.085