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Hypothesis testing problems

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Given that Ho = null hypothesis and Ha= alternative hypothesis then consider the following situations.

1. You are a juror in a murder trial. State the null and alternative hypothesis and explain why. What are two mistakes that can occur here (the two mismatches between what reality is and what the decision is).

2. You are taking a lie detector to prove to your employer that you have not stolen any goods. State the null and alternative hypothesis and explain why. What are two mistakes that can occur here (the two mismatches between what reality is and what the decision is).

3. You are taking a lie detector because your employer wants to prove that you have stolen goods. State the null and alternative hypothesis and explain why. What are two mistakes that can occur here (the two mismatches between what reality is and what the decision is).

4. You are taking a blood test for Gene Z syndrome. State the null and alternative hypothesis and explain why. What are two mistakes that can occur here (the two mismatches between what reality is and what the decision is).

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Solution Summary

Step by step method for computing test statistic for t test is given in the answer.

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One and Two Tailed Tests: Hypothesis Testing Problem

Ho: u = 50
H1: u not = 50
The sample mean is 49, and the sample size is 36. the population standard deviation is 5. Use the .05 significance level.

a. Is this a one or two tailed test.
b. What is the decision rule?
c. What is the value of the test statistic?
d. What is your decision regarding Ho?
e. What is the p-value? Interpret it.

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