What is the test statistic for this problem? Please help!!

Question

The marital status distribution of the U.S. male population, age 15 and older, is as shown below.

Marital Status Percent

never married	31.3
married	56.1
widowed	2.5
divorced/separated	10.1

Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below, rounding to two decimal places.

Marital status Frequency Expected Frequency

never married	137 125.2
married	240 224.4
widowed	2 10
divorced/separated	21 40.4

What is the test statistic? (Round answer to two decimal places.)

Answer 1

The chi-square statistic is computed as the sum of (Observed - Expected)^2/Expected over all 4 cells:

(137-125.2)^2/125.2 + (240-224.4)^2/224.4 + (2-10)^2/10 + (21-40.4)^2/40.4