Observed Number Percent of U.S. of Households in Type of Household Households the Community Married with children 26% 108 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 93 9% 38 25% 103 11% 69
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.
(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.)
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?
a) Since the P-value > α, we fail to reject the null hypothesis.
b) Since the P-value > α, we reject the null hypothesis.
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