You wish to test the following claim (HaHa) at a significance level of =0.05=0.0

Question

You wish to test the following claim (HaHa) at a significance level of =0.05=0.05.

      Ho:p=0.4Ho:p=0.4
      Ha:p>0.4Ha:p>0.4

You obtain a sample of size n=590n=590 in which there are 272 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 three 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 population proportion is greater than 0.4.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.4.

The sample data support the claim that the population proportion is greater than 0.4.

There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.4.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.4
HA : p > 0.4

Hypothesis test results:

Hence,

Test statistic = 3.025

P - value = 0.001

p - value is less than (or equal to)

Reject the null

The sample data support the claim that the population proportion is greater than 0.4.

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