a social - service organization reports that ...

a social - service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. to test this claim, you randomly select 105 mothers who currently receive food stamps and record the educational attainment of each. the results are shown in the table on the right. at \\(\\alpha = 0.01\\), can you reject the claim that the distribution is uniform? complete parts (a) through (d) below.\n(a) state \\(h_0\\) and \\(h_a\\) and identify the claim.\n\\(h_0\\): the distribution of educational attainment responses is \n\\(h_a\\): the distribution of educational attainment responses is \nresponse frequency, \\(f\\)\nnot a high school graduate 37\nhigh school graduate 39\ncollege (1 year or more) 29

Answer

# Explanation: ## Step1: Define null and alternative hypotheses The null hypothesis $H_0$ is the claim we are testing. Since we are testing the claim of a uniform distribution, $H_0$ is that the distribution is uniform. The alternative hypothesis $H_a$ is the opposite of the null hypothesis, so it is that the distribution is not uniform. ## Step2: State the hypotheses $H_0$: The distribution of educational - attainment responses is uniform. $H_a$: The distribution of educational - attainment responses is not uniform. # Answer: $H_0$: The distribution of educational attainment responses is uniform. $H_a$: The distribution of educational attainment responses is not uniform.