STATISTICS AND PROBABILITY- TESTING HYPOTHESIS INVOLVING POPULATION PROPORTION (THIRD AND FOURTH STEP)

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WORKSHEET FOR LESSON 6, WEEK 6: TESTING HYPOTHESIS INVOLVING POPULATION PROPORTION (THIRD AND FOURTH STEP) DIRECTIONS: Solve the following problems. Specify the details of the four steps on hypothesis testing involving population proportion in the solution process. Use another sheet of short bond paper for the solution and final answer.1. An acne specialist has found that 60% of acne sufferers are helped by existing treatments. He decides to test a new treatment on a random sample of 110 acne patients. If 49 of these respond to this treatment, can he conclude that it is significantly better at the 0.05 level? 2. It was reported that 54% of kids said that they had snack after school. A random sample of 300 kids was selected and 180 said that they had their snacks after school. Test the claim at 0.01 level of significance. 3. It was found out that 15% of students who enrolled in College Algebra at a large university fail the first time they take it. A psychology professor claims that this could be reduced with a program of counselling. A random sample of 850 students who enrolled in College Algebra take this program and 99 fail anyway. Is this a significant improvement at the 0.05 level