Question

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

H o : p 1 = p 2 Ho:p1=p2 H a : p 1 ≠ p 2 Ha:p1≠p2

You obtain 125 successes in a sample of size n 1 = 241 n1=241 from the first population. You obtain 257 successes in a sample of size n 2 = 577 n2=577 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 α greater than α 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 not equal to the second population proportion.

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

The sample data support the claim that the first population proportion is not equal to the second population proportion.

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

Answer 1