Question

You wish to test the following claim (H1H1) at a significance level of α=0.005α=0.005.

      Ho:p=0.21Ho:p=0.21
      H1:p<0.21H1:p<0.21

You obtain a sample of size n=729n=729 in which there are 140 successful observations.

The p-value for this test is (assuming HoHo is true) the probability of observing...

• at most 140 successful observations
• at least 140 successful observations

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 p-value 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 less than 0.21.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.21.
• The sample data support the claim that the population proportion is less than 0.21.
• There is not sufficient sample evidence to support the claim that the population proportion is less than 0.21.

Answer 1

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