Question

the worldwide market share for a web browser was 20.3% in a recent month. suppose that a sample of 100 random students at a certain university finds that 25 use the browser.

calculate the test statistic
test statistic = 2.00 (type an integer or a decimal. round to two decimal places as needed)
what is the p - value?
the p - value is 0.020
(type an integer or a decimal. round to three decimal places as needed)
state the conclusion of the test
____ the null hypothesis. there is __ evidence to conclude that the market share at the university is ____ the worldwide market share of 20.3%.

Explanation:

To determine the conclusion of the hypothesis test, we analyze the p - value and compare it with a common significance level (usually \(\alpha = 0.05\)).

Step 1: Recall the decision rule

The decision rule for a hypothesis test is: If the p - value \(\leq\alpha\) (where \(\alpha\) is the significance level, commonly \(0.05\)), we reject the null hypothesis. If the p - value\(>\alpha\), we fail to reject the null hypothesis.

Step 2: Analyze the given p - value

The p - value is given as \(0.020\). Let's assume a common significance level \(\alpha=0.05\). Since \(0.020<0.05\), we reject the null hypothesis.

Step 3: Interpret the result

Rejecting the null hypothesis means that there is sufficient evidence to conclude that the market share at the university is different from the worldwide market share of \(20.3\%\).

Answer:

Reject the null hypothesis. There is sufficient evidence to conclude that the market share at the university is different from the worldwide market share of \(20.3\%\).

So the first dropdown: Reject; the second dropdown: sufficient; the third dropdown: different from