MA3110: Module 4 Hypothesis Testing Exercise 4.2 Hypothesis Testing 1 Solve the following problems: ? Examine the given statement: o The proportion of people aged 18“25 who currently use illicit drugs is equal to 0.20 (or 20%). Express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. Be sure to use the correct symbols”µ, p, and s”for the indicated parameter. ? Refer to the following data: o Two-tailed test; 0.10 o Assume that the normal distribution applies and find the critical z values. ? Use the following information to find the P-value. o The value of the test statistic for a right-tailed one mean z test is z = 2.50. o Use a 0.05 significance level and state the conclusion about the null hypothesis”reject the null hypothesis or fail to reject the null hypothesis. ? Test the claim: A simple random sample of 50 adults is obtained, and each person’s red blood cell count (in cells per micro-liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group? ? Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and the conclusion that addresses the original claim. Use the P-value method. Submission Requirements: ? Submit the assignment in a Microsoft Word or Excel document. ? Show detailed steps and provide appropriate rationale with your answers. Evaluation Criteria: ? Correctly answered each question ? Included appropriate steps or rationale to determine the answer to each question
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