A Hypothesis Test Is to Be Performed to Test the Equality

question 73

Multiple Choice

A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means is (1.4, 8.7) . If the hypothesis test is based on the same samples, which of the following do you know for sure:
A: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $5 \%$ level of significance.
B: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $10 \%$ level of significance.
$C$ : The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $1 \%$ level of significance.

• A) A and C
• B) A only
• C) A, B, and C
• D) A and B

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Definitions:

Scientific Method

A systematic procedure for collecting and analyzing evidence that involves observation, hypothesis formation, experimentation, and conclusion drawing.

Psychology

The scientific study of the mind and behavior, encompassing various aspects of human experience, cognition, and emotion.

Empirical Claims

Claims that can be true or false depending on the facts.

Prove

To demonstrate the truth or existence of something through evidence or argument.