Question

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

      Ho:p1=p2Ho:p1=p2
      Ha:p1≠p2Ha:p1≠p2

You obtain 75.1% successes in a sample of size n1=618 from the first population. You obtain 71.1% successes in a sample of size n2=629 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

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) αα

greater than αα

This test statistic leads to a decision to...

reject the null

accept the null

do not 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.

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

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

Answer 1

n1=618

n2=629

level of significance = 0.02

null and alternate hypotheses.

H0: p1 = p2

H1: p1 p2

Test statistic

Formula

P-value = 0.110 ( using z-table )

P-value   , Failed to Reject H0

This test statistic leads to a decision to do not reject the null

conclusion : There is not evidence to support the claim that the first population proportion is not equal to the second population proportion.