Question

In: Statistics and Probability

You wish to test the following claim ( H a ) at a significance level of...

You wish to test the following claim ( H a ) at a significance level of α = 0.02 .

H o : p 1 = p 2

H a : p 1 < p 2

You obtain 159 successes in a sample of size n 1 = 646 from the first population. You obtain 66 successes in a sample of size n 2 = 221 from the second population.

What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

The p-value is...

less than (or equal to) α

greater than α

This test statistic leads to a decision to...

reject the null

accept the null

fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.

There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.

The sample data support the claim that the first population proportion is less than the second population proportion.

There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

Solutions

Expert Solution

orchestra answered 2 years ago
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