The marital status distribution of the U.S. male population, age 15 and older. I

Question

The marital status distribution of the U.S. male population, age 15 and older. Is as shown below. 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. State the null hypothesis. The data fit the distribution of marital status for the U.S. adult population. The data do not fit the distribution of marital status for the U.S. adult population. What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) State the alternative hypothesis. The data do not fit the distribution of marital status for the U.S. adult population the data fit the distribution of marital status for the U.S. adult population. What is the test statistic? () Explain what the p-value means for this problem. If H_0 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 H_0 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 H_0 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 H_0 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. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion. Alpha (Enter an exact number as an integer, fraction, or decimal.) alpha = Decision: reject the null hypothesis do not reject the null hypothesis Reason for decision: Since alpha p-value, we reject the null hypothesis. Since alpha > p-value. we do not reject the null hypothesis. Since alpha

Explanation / Answer

part a) null hypothesis:data fits the distribution of ...

b)alternate hypothesis: data do not fit...

c)degree of freedom =3

d)X23

e)

test stat =14.401

f)p value =0.0015

if Ho is true there is a chance equal to po , value of test stat will be equal or less then the calculated value

h)alpha =0.05

reject the null hypothessi

since alpha >p value we reject then null

there is sufficient evidence........

observed Expected Chi square P O E=total*p =(O-E)^2/E never married 0.313 139.00 125.20 1.52 married 0.561 236.00 224.40 0.60 widowed 0.025 3.00 10.00 4.90 divorced 0.101 22.00 40.40 8.38 400 400 15.401

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