Question

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

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

• Part (f)

  What is the p-value?

  p-value < 0.001 0.001 < p-value < 0.010     0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100

  
  
  Explain what the p-value means for this problem.If

  H₀

  is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. If

  H₀

  is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.     If

  H₀

  is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. If

  H₀

  is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.

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
married	240	224.4
widowed	2	10
divorced/separated	21

Answer 1

applying chi square tesT:

	relative	observed	Expected		Chi square
category	frequency(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
1	0.313	137	125.20		1.112
2	0.561	240	224.40		1.084
3	0.025	2	10.00		6.400
4	0.101	21	40.40		9.316
total	1.000	400	400		17.9125
test statistic X2 =		17.912

p-value < 0.001

If  H₀ is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.