A Decision Maker Wishes to Test the Following Null and Alternative

question 30

Multiple Choice

A decision maker wishes to test the following null and alternative hypotheses using an alpha level equal to 0.05: H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0
The population standard deviations are assumed to be known.After collecting the sample data,the test statistic is computed to be z = 1.78
Using the p-value approach,what decision should be reached about the null hypothesis?

• A)Since p-value = 0.0018 < α/2 = 0.025,reject the null hypothesis
• B)Since p-value = 0.0415 > α/2 = 0.025,do not reject the null hypothesis.
• C)Since p-value = 0.0033 < α/2 = 0.025,reject the null hypothesis.
• D)Since p-value = 0.0375 > α/2 = 0.025,do not reject the null hypothesis.

Understand how perceptual biases and tendencies can influence organizational decision-making and interpersonal interactions.

Acknowledge the role of openness to experience in adapting to changes and facilitating innovation within organizations.

Realize the significance of conscientiousness in achieving work commitments and responsibilities.

Appreciate the impact of extraverion and introversion on leadership and team dynamics.

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Definitions:

Sample Proportion

The fraction of individuals in a sample with a particular characteristic or trait.

Large-Sample Method

Statistical techniques that assume the sample size is large enough to rely on the normal distribution as an approximation for the distribution of sample statistics.

Relative Risk

A measure in epidemiology that compares the risk of a certain event occurring in one group versus another.

Appropriate Values

Values that are considered suitable or fitting for a specific context or calculations.