Which of the following would be an appropriate alternative hypothesis?
A)The population proportion is less than 0.65.
B)The sample proportion is less than 0.65.
C)The population proportion is not less than 0.65.
D)The sample proportion is not less than 0.65.

Question

Quizplus · Accepted Answer

An appropriate alternative hypothesis would be one that contradicts the null hypothesis. In this case, the null hypothesis might be that the population proportion is equal to 0.65. Therefore, the appropriate alternative hypothesis would be one that suggests that the population proportion is not equal to 0.65. Choice A is the only one that fits this criteria. Choices B and D refer to the sample proportion, which may or may not differ from the population proportion, and therefore would not be appropriate alternative hypotheses. Choice C suggests that the population proportion is greater than or equal to 0.65, which does not provide an opposite or contradictory statement to the null hypothesis.

Which of the Following Would Be an Appropriate Alternative Hypothesis