Consider a test of H 0: μ = 85 performed with the computer. SPSS reports a two-tailed p-value of 0.2714. Make the appropriate conclusion for the given situation: H a: μ > 85, z = 1.10, α = 0.10
Question
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Answer:
p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.
Step-by-step explanation:
Decision:
If the p-value is greater than the significance level, we accept the null hypothesis. Otherwise, we reject the null hypothesis.
In this question:
Null hypothesis:
μ = 85
Alternate hypothesis:
a: μ > 85
SPSS reports a two-tailed p-value of 0.2714.
We are testing if the mean is greater than a value, which is a one-tailed test, so the p-value is of 0.2714/2 = 0.1357
Decision:
p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.