Question

test statistic = 0.28
what is the p - value for this sample? (report answer accurate to four decimal places.)
p - value = 0.6103
the p - value is...
less than (or equal to) α
greater than α
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 proportion of voters who prefer candidate a is less than 0.27.
there is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer candidate a is less than 0.27.
there is sufficient evidence to support the claim that the proportion of voters who prefer candidate a is less than 0.27.

Explanation:

Step1: Recall decision - rule for p - value

If p - value > $\alpha$, we fail to reject the null hypothesis. Commonly, $\alpha$ is 0.05 or 0.01. Here, p - value = 0.6103.

Step2: Make a decision

Since 0.6103>0.05 (a typical $\alpha$ value), we fail to reject the null hypothesis.

Step3: Draw a conclusion

When we fail to reject the null hypothesis, there is not sufficient evidence to reject the claim.

Answer:

The p - value is greater than $\alpha$.
This test statistic leads to a decision to fail to reject the null.
As such, the final conclusion is that there is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.27.