Which of the following would be an appropriate alternative hypothesis?
A) The sample proportion is less than 0.65.
B) The population proportion is no less than 0.65.
C) The sample proportion is no less than 0.65.
D) The population proportion is less than 0.65.

Question

Quizplus · Accepted Answer

The alternative hypothesis should state the direction of difference from the null hypothesis. In this case, the null hypothesis is that the population proportion is greater than or equal to 0.65, so the alternative hypothesis should state a difference in the opposite direction, which is that the population proportion is less than 0.65. Choice A is close, but it refers to the sample proportion rather than the population proportion. Choice B is incorrect because it refers to the null hypothesis rather than the alternative hypothesis. Choice C is incorrect because it only specifies a lower bound for the sample proportion, rather than a direction of difference from the null hypothesis.

Which of the Following Would Be an Appropriate Alternative Hypothesis