Instructions

For this Assignment, review this week's Learning Resources, including the 5 step approach to hypothesis testing document. Read the research scenario, below, and then answer the questions related to the steps that must be followed to make the appropriate decision as to reject or fail to reject the null hypothesis.

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Research Scenario

Measures of height from the general population of adult males in the United States form a normal distribution with am = 69 ands = 4 (inches). Epidemiological studies have shown that growth hormone deficiency in childhood increases the risk for short stature in adulthood. Using data from a cohort study, a researcher obtained a sample of n = 144 adult males with growth hormone deficiency whose average height wasx= 68. Do these data indicate that growth hormone deficiency is associated with short stature in this sample? Test withalpha=.05.

Note

= population mean

x = sample mean

s = standard deviation

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Step 1: Set up your hypothesis and determine the level of significance

State the null hypothesis

1. In written format

Answer:

1. In mathematical format

Answer:

State the alternative hypothesis

1. In written format

Answer:

1. In mathematical format

Answer:

Determine the Level of significance

1. Based on information in the scenario, what is the level of significance to be used?

Answer:

Step 2: Select the appropriate test statistic

1. The appropriate test statistic for the above scenario is the one-sample z test. What is a Z test? Describe why this is the appropriate test for the scenario?

Answer:

Step 3: Set up the decision rule

1. Based on thelevel of significance you set in Step 1 (Question 5) and whether your alternative hypothesis is directional or non-directional, what is your decision rule? (In other words, what is your rejection region?)

Answer:

Step 4: Compute the test statistic

1. Calculate the z statistic. Please show your work.

Answer:

Step 5: Conclusion

1. Do you reject or fail to reject the null hypothesis?

Answer:

1. Is height affected by growth hormone deficiency in this sample?

Answer: