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

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24-06-2021
Mathematics

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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

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joaobezerra joaobezerra · Answer 1 · 2021-06-29T02:12:51+02:00

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.