(a) How many rows (r) and columns (c) are there in the table? (b) Find row totals and column totals. Find n. Put down expected values next to observed ones in the above table. (c) Is there any relationship between the two variables? Set up the null and alternative hypotheses.
Do businesses of different sizes respond more or less readily to questionnaires sent out by business schools? A study sent questionnaires to 200 randomly selected businesses of each of three sizes. The data on the responses are presented in the
|
Response |
Size of the business |
||
|
Small |
Medium |
Large |
|
|
Yes |
125 |
81 |
40 |
|
No |
75 |
119 |
160 |
(a) How many rows (r) and columns (c) are there in the table?
(b) Find row totals and column totals. Find n. Put down
(c) Is there any relationship between the two variables? Set up the null and alternative hypotheses.
(d) What are degrees of freedom for your test statistics?
(e) Test your hypothesis at α = 0.01 and give your conclusions.
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