Each person in a random sample of university students was asked which of five fl

Question

Each person in a random sample of university students was asked which of five flavors of ice cream he or she preferred. The resulting data was used to test the null hypothesis H_0: p_1 = 0.2 p_2 = 0.2 ... p_5 = 0.2. The P-value associated with this test was 0.067. If a significance level of 0.05 is used for the test, which of the following is an appropriate conclusion? a. Reject H_0, there is convincing evidence that there is no preference for one flavor of ice cream over another. b. Fail to reject H_0, there is convincing evidence that there is no preference for one flavor of ice cream over another. C. Based on the information given, it is not possible to determine whether H_0 should be rejected or not. d. Fail to reject H_0, there is not convincing evidence that there is a preference for one flavor of ice cream over another. e. Reject H_0, there is convincing evidence that there is a preference for one flavor of ice cream over another.

Explanation / Answer

Since our p value is 0.065 and the level of significance is 0.05, we know that our p value is larger than the level of significance , thus we fail to reject the null hypothesis as there is no convincing evidence that there is no preference for one flavour of ice cream over the other. thus correct answer is B

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