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Assume the following null and alternative hypotheses: Ho: Population Proportion

ID: 3329952 • Letter: A

Question

Assume the following null and alternative hypotheses: Ho: Population Proportion = 25% H: Population Proportion 25% 1. Which statement best describes a test conclusion of "Reject Ho"? (Circle one.) There is insufficient statistical evidence to prove the population proportion is equal to 25%. There is insufficient statistical evidence to prove the population proportion is not equal to 25% There is sufficient statistical evidence to prove the population proportion is equal to 25% There is sufficient statistical evidence to prove the population proportion is not equal to 25%. a. b. C. d. Which statement best describes a test conclusion of "Accept Ho"? (Circle one.) a. b. C. d. 2. There is insufficient statistical evidence to prove the population proportion is equal to 25%. There is insufficient statistical evidence to prove the population proportion is not equal to 25% There is sufficient statistical evidence to prove the population proportion is equal to 25% There is sufficient statistical evidence to prove the population proportion is not equal to 25%. Which statement best describes a test conclusion of "Do Not Reject Ho"? (Circle one.) a. b. c. d. 3. There is insufficient statistical evidence to prove the population proportion is equal to 25%. There is insufficient statistical evidence to prove the population proportion is not equal to 25% There is sufficient statistical evidence to prove the population proportion is equal to 25% There is sufficient statistical evidence to prove the population proportion is not equal to 25%.

Explanation / Answer

1. A null hypothesis is assumed to be correct unless proved otherwise. So, to reject H0, we will have to show that is incorrect. So, "Reject H0" means there is sufficient statistical evidence to prove population proportion is not equal to 25% and thus, (D) is the correct option.

2. Accepting a hypothesis means it has been proven true. So, "Accept H0" means that there is sufficient statistical evidence to prove population proportion is equal to 25% and thus, (C) is the correct option.

3. As previously stated, a null hypothesis is assumed to be correct unless proved otherwise, hence, "Do not reject H0" means that there is insufficient statistical evidence to prove population proportion is not equal to 25% and thus, (B) is the correct option.

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