A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between tw
o 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.
B. The evidence is very strong - there is NO difference in the proportion of Republicans between the 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.
