Question

The National Longitudinal Study of Adolescent Health interviewed a random sample of $4877$teens (grades $7$to $12$). One question asked, “What do you think are the chances you will be married in the next $10$years?” Here is a two-way table of the responses by gender:

Which of the following is the expected count of females who respond “Almost certain”?

a.$487.7$

b.$525$

c. $965$

d.$1038.8$

e.$1174$

Short answer

Option (d) Expected count of females who respond “almost certain” is $1038.8$.

Step-by-step solution

Given information

We have to identify the expected count of females who respond “almost certain”.

Simplification

Given information two way tables is:

Opinion about marriage	female	male	Total
Almost no chance	$119$	$103$	$222$
Some chance but probably not	$150$	$171$	$321$
A 50−50 chance	$447$	$512$	$959$
A good chance	$735$	$710$	$1445$
Almost certain	$1174$	$756$	$1930$
Total	$2625$	$2252$	$4877$

For the given data expected count is $1038.8$.

Thus, Option (d) is correct.