You wish to test the following claim (H1) at a significance level of

=0.02

Ho:p1=p2

H1:p1>p2

You obtain 93% successes in a sample of size

n1=800

from the first population. You obtain 88% successes in a sample of size

n2=700

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)
• greater than

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 greater than the second population proportion.
• There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
• The sample data support the claim that the first population proportion is greater than the second population proportion.
• There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

What is the confidence interval for the difference of the two proportions? (Report answers accurate to two decimal places.)