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Question 1
A survey of fruit preference of northern and southern Australians was carried out.
Researchers were interested to know whether Australians living in northern areas were more interested in tropical fruit because it was plentiful, as opposed to citrus and other fruit. A survey of 500 persons was carried out and the results are given below. Perform a χ2 test to see whether fruit preference and location in Australia are independent. Use a significance level of α= 0.05.
a. State the hypotheses that you are testing
b. Determine the critical value of χ2 and your decision rule
c. Calculate the χ2 test statistic for this data. (Show all workings)
d. State your decision and conclusion.
How would managers find benefit in helping them to obtain valuable information in problem identification research. Discuss whether these data are secondary or primary and justify your answers
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Can the college conclude that the students in the new program are significantly different from the rest of the freshman class? Use a two-tailed test with α=.05.
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Use Exercises 16.3.3, 16.3.4 and 16.5.1 to test the hypotheses H1 : b1 = b*1, H2 : b2 = b*2 against the corresponding alternatives A1 : b1 ¹ b*1, A2 : b2 ¹ b*2 at level of signi?cance a.
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