Question

5) In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, p, is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions p^ and p^ . 12 III. It is equal to the proportion of successes in both samples combined. A) III only B) I, II, and III C) I and II D) I and III

Answer 1

Solution:

Option D) I and III is correct.

I.Pooled proportion estimates the common value of p1 and p2 under the assumption of equal proportions.- This statement is true as pooled proportion is calculated under Ho: P1=P2= P

II. It is obtained by averaging the two sample proportions p^ and p^ . 12 - This statement is incorrect.

III. It is equal to the proportion of successes in both samples combined. - This statement is true as pooled proportion is given by;

P. P= X1+X2/n1+n2.