A social service organization reports that the level of educational attainment o

Question

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 100 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table Response on Frequency, f 36 37 27 ot a high school graduate the right. At a 0.05, can you reject the claim that the distribution is uniform? Complete parts (a) through (c) below High school graduate ollege (1 year or more (a) State H ad Ha and identify the claim Ho: The distribution of educational attainment responses is Ha The distribution of educational attainment responses is Which hypothesis is the claim? (b) Calculate the test statistic. = L (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim Ho-At a 5% significance level, there enough evidence to reject the claim that the distribution of educational attainment responses uniform. Reject Fail to reject

Explanation / Answer

a)

H0:the distribution of educational attainment responses is uniform.

Ha:the distribution of educational attainment responses is not uniform.

Ho is claim.

b)Test statistic:

Chi square test statistic=1.820

df=3-1=2

p-value=CHIDIST(1.820,2)=0.4025

critical chi square=5.991

c)As,p-value>0.05,we fail to reject null hypothesis.

There is not enough evidence to reject the claim that the distribution of educational attainment reponses is unifrom.

Response Observed(O) Expected(E) (O-E)^2/E not a high school graduate 36 33.33 0.213 high school graduate 37 33.33 0.403 college(1 yr or more) 27 33.33 1.203 Total 100 100 1.820

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