The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number Type of Household Percent of U.S. Households of Households in the Community Married with children 26% 96 Married, no children 29% 117 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 LA USE SALT Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The distributions are the same. H1: The distributions are different. Ho: The distributions are different. H1: The distributions are different. Ho: The distributions are the same. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? binomial chi-square normal uniform Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories? Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis Since the P-value s a, we reject the null hypothesis Since the P-value s a, we fail to reject the null hypothesis. MacBook Air