We Have Created a 95% Confidence Interval for µ with the Result

question 10

Multiple Choice

We have created a 95% confidence interval for µ with the result (10, 15) . What
Conclusion will we make if we test $$H _ { 0 } : \mu = 16 \text { versus } H _ { A } : \mu \neq 16 \text { at } \alpha = .05 ?$$

• A) Reject the null hypothesis
• B) Accept the null hypothesis
• C) Fail to reject the null hypothesis.
• D) Reject the alternative hypothesis.
• E) No decision can made from the information given.

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Definitions:

Alternative Hypothesis

In statistical hypothesis testing, it represents the hypothesis that there is a significant difference between the defined groups or a significant relationship within the data.

Non-directional

A hypothesis that does not predict the direction of the difference or relationship between the variables being studied.

≠ Symbol

The symbol ≠ denotes 'not equal to' in mathematical equations, indicating the inequality between two values.

≠ Symbol

A mathematical symbol representing inequality, indicating that two values are not equal.