test statistic = 0.28\nwhat is the p - value for this sample? (report answer accurate to four decimal…

test statistic = 0.28\nwhat is the p - value for this sample? (report answer accurate to four decimal places.)\np - value = 0.6103\nthe p - value is...\nless than (or equal to) α\ngreater than α\nthis test statistic leads to a decision to...\nreject the null\naccept the null\nfail to reject the null\nas such, the final conclusion is that...\nthere is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer candidate a is less than 0.27.\nthere is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer candidate a is less than 0.27.\nthere is sufficient evidence to support the claim that the proportion of voters who prefer candidate a is less than 0.27.

test statistic = 0.28\nwhat is the p - value for this sample? (report answer accurate to four decimal places.)\np - value = 0.6103\nthe p - value is...\nless than (or equal to) α\ngreater than α\nthis test statistic leads to a decision to...\nreject the null\naccept the null\nfail to reject the null\nas such, the final conclusion is that...\nthere is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer candidate a is less than 0.27.\nthere is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer candidate a is less than 0.27.\nthere is sufficient evidence to support the claim that the proportion of voters who prefer candidate a is less than 0.27.

Answer

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.