Chapter 11.2, Problem 6P

For Problems 5-14, please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

(e) Interpret your conclusion in the context of the application

Census: Type of Household The type of household for the U.S. population and for a random sample of 411 households from the community of Dove Creek. Montana, are shown (based on StatisticalAbstract of the United States).

Type of Household	Percent of U.S. Households	Observed Number of Households in Dove Creek
Married with children	26%	102
Married, no children	29%	112
Single parent	9%	33
One person	25%	96
Other (e g., roommates, siblings)	11%	68

Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.