Question

You wish to test the following claim (H1) at a significance level of α=0.10.

      Ho:p=0.33
      H1:p≠0.33

You obtain a sample of size n=357 in which there are 146 successful observations.

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 population proportion is not equal to 0.33.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.33.
• The sample data support the claim that the population proportion is not equal to 0.33.
• There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.33.

Answer 1

The statistical software output for this problem is :

Test statistics = 3.173

P-value = 0.0015

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

reject the null

There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.33.