State the hypotheses that you are testing determine the, Basic Statistics

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State the hypotheses that you are testing determine the

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.

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