Question

You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10.

      Ho:p1=p2Ho:p1=p2
      H1:p1≠p2H1:p1≠p2

You obtain a sample from the first population with 412 successes and 342 failures. You obtain a sample from the second population with 274 successes and 179 failures.

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

Answer 1

The statistical software output for this problem is :

Test statistics = 5.306

P-value = 0.0000

The p-value is less than (or equal to) α .

This test statistic leads to a decision to reject the null .

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