MA3110: Module 4 Hypothesis Testing Exercise 4.2 Hypothesis Testing

MA3110: Module 4 Hypothesis TestingExercise 4.2Hypothesis TestingSolve the following problems:Examine the given statement:oThe proportion of people aged 18–25 who currently use illicit drugs is equal to 0.20 (or20%). Express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. Besure to use the correct symbols—μ, p, and σ—for the indicated parameter.Refer to the following data:oTwo-tailed test; 0.10oAssume that the normal distribution applies and find the critical z values.Use the following information to find the P-value.oThe value of the test statistic for a right-tailed one mean z test is z = 2.50.oUse a 0.05 significance level and state the conclusion about the null hypothesis—reject thenull 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 cellcount (in cells per micro-liter) is measured. The sample mean is 5.23. The population standarddeviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that thesample is from a population with a mean less than 5.4, which is a value often used for the upperlimit 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 theP-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 questionIncluded appropriate steps or rationale to determine the answer to each question1