Question

I posted the right answer but need to know the reason please

The standard error of the sample proportion gets larger as:

Selected Answer:	b. p approaches 0.50
Answers:	a. p approaches 1.00
	b. p approaches 0.50
	c. p approaches 0
	d. sample size increases

Answer 1

Solution :

The standard error of the sample proportion is given as follows :

Where, p is population proportion and n is sample size.

The value of the p ranges from 0 to 1.

The value of the standard error will gets larger if the numerator of the above given formula gets larger . And the numerator will get larger if p approaches to 0.50. Hence, the standard error of the sample proportion gets larger as p approaches to 0.50.

Hence, option (b) is correct.

Please rate the answer. Thank you.