A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between two areas of town. He takes independent random samples of 20 families in each area of town and a significance test was conducted. The p-value was 0.106.

What should be our conclusions?

A. The evidence is very strong - there is a difference in proportion of Republicans between the two areas of town.

B. The evidence is very strong - there is NO difference in the proportion of Republicans between the two areas of town.

C. We do not have enough statistical evidence to say that there is a significant difference in the proportion of Republicans between two areas of town.

Step-by-step explanation: Generally, a p-value of less than 0.05 is described as a strong evidence in favour of the null hypothesis. A p-value also known as the probability value is also known to provide the smallest level of evidence at which the null hypothesis would be rejected.

In the question, The p-value is 0.105 which is bigger in value than 0.05 which means there is no significant difference between the evidence and the null hypothesis.

andromache andromache · Answer 2 · 2022-04-07T11:45:50+02:00

Since the p- value was 0.106 so here the evidence should be considered as very strong:

Support to the conclusion:

We know that the p-value should be less than 0.05 and it represent as the strong evidence that should be favoured with the null hypothesis. Also, it gives the smallest level of evidence where the null hypothesis should be rejected.

Since the p-value is 0.106 i.e. greater than the 0.05 that means there should not be any significant difference that lies between the evidence and the null hypothesis .

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