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 Statistical Abstract of the United States):

Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
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) Your conclusion in the context of the application.

Transcribed Image Text:

Observed Number Dove Creek 102 112 Percentage of U.S. of Households in Type of Household Married with children Married, no children Single parent One person Other (for example, roommates, siblings) % Households 26% 29% 9% 25% 1190 96 68