Question

On hundred and fifty-one (151) De Anza College students were surveyed and asked two questions: (1) How many units are you taking this quarter, and (2) How many hours of television do you watch per day. The chart below summarizes the data. We wish to conduct a hypothesis test to determine if the number of units a student takes is independent of the number of hours per day of television the student watches. Number of units Hours of T.V. per day à 0-1 1.1-3 3.1-5 5.1 or more Totals 10-5 4 12 13 10 39 5.25 - 103 11 9 4 27 10.25-15 18 16 10 4 48 15.25 or more 11 14 7 5 37 Totals 36 53 39 23 151 At the 1% level, the correct decision is: Do not reject the null hypothesis. Reject the null hypothesis. The test is inconclusive. There is not enough information to make a decision.

Answer 1

i am using minitab to solve the problem.

steps :-

copy the data in minitab(copy without row and column totals) $1597311736593_blob.png$ stat $1597311736592_blob.png$ table $1597311736794_blob.png$ chi square test for association $1597311736806_blob.png$ select summarized data in a two way table from the drop down menu $1597311736771_blob.png$in columns containing the table select 0-1, 1.1-3,3.1-5,5.1 or more$1597311736937_blob.png$ in rows select number of units$1597311736783_blob.png$ok.

the needed minitab output be:-

Chi-Square Test

	Chi-Square	DF	P-Value
Pearson	16.659	9	0.054
Likelihood Ratio	17.144	9	0.047

*** SOLUTION ***

Do not reject the null hypothesis.

[ p value = 0.054 > 0.05 (alpha) ]

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