Question

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 200 families in each area of town and a significance test was conducted. the p-value was 0.106. what should be our conclusions? group of answer choices 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. the evidence is very strong - there is no difference in the proportion of republicans between the two areas of town. the evidence is very strong - there is a difference in proportion of republicans between the two areas of town.

Answer 1

The thing that should be our conclusions is: A. 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.

What is the conclusions ?

A metric used to quantify the evidence against a null hypothesis is the p-value. A typical significance level for proportional hypothesis testing is 0.05. Generally speaking, we are unable to reject the null hypothesis if the p-value is higher than 0.05.

The p-value in this instance is 0.106, over the significance level of 0.05. As a result there is insufficient statistical support to rule out the null hypothesis.

Therefore the correct option is A.