Question
The marital status distribution of the U.S. male population, ages 15 and older, is as follows: 32% have never been married, 56% are married, 2%
The marital status distribution of the U.S. male population, ages 15 and older, is as follows:
32% have never been married, 56% are married, 2% are widowed and 10% are divorced.
A researcher claims that the percentages are the same in his region. He samples 200 U.S. young adult males, 18 to 24 years old, and found the following frequencies:
Marital status
Never married
Married
Widowed
Divorced
Observed frequencies
50
130
1
19
At = 0.05, test the researcher's claim.
a) State the hypotheses and identify the claim with the correct hypothesis.
1.
H0:percentages are the same (claim)
H1: percentages are different
2.
H0:percentages are the same
H1: percentages are different (claim)
3.
H0:percentages aredifferent (claim)
H1: percentages are the same(
b) Find the critical value (s).
1. CV= 9.488
2. CV= 5.991
3. CV= 7.815
4. CV= 9.348
c) Compute the test value:
1. TV= 4.93
2. TV= 5.93
3. TV= 6.93
4. TV= 7.93
d) Make the decision.
1. Reject the null hypothesis.
2.Do not reject the null hypothesis.
e) Summarize the results.
1. There is enough evidence to support the claim.
2.There is not enough evidence to support the claim.
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