MAT 230 Week 6 Applied Assignment Please answer the ques
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MAT 230 Week 6 Applied Assignment Please answer the questions in the spaces provided using Equation Editor to insert for
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MAT 230 Week 6 Applied Assignment Please answer the questions in the spaces provided using Equation Editor to insert formulas as necessary. Feel free to use Excel to run the tests and insert the results into the document. Use complete sentences when writing your conclusions. It has been reported that 40% of children in the United States live in homes where both parents work to make ends meet. A school administrator claimed that more than 40% of children in his school district lived in homes where both parents work to make ends meet. In a sample of 300 children, 138 of them lived in homes where both parents work to make ends meet. 1) State the correct null and alternative hypotheses that the school administrator wishes to test. 2) Calculate the test statistic that would be used for conducting the desired test. 3) Find the p-value of this test. 4) Assuming a = 0.01, what is your conclusion? The weight of 14 healthy newborn children was measured. The sample mean was 7.5 pounds with corresponding standard deviation 1.2 pounds. These babies are from one hospital and we want to test whether the babies born at this hospital are different in weight from the babies born at the hospital across town, which have a mean weight of 7.75 lbs. 5) What would be the hypotheses for this test? 6) What is the p-value for this test? 7) Using an a =0.025, what are the test statistic and rejection region? 8) What would be your conclusion? An instructor for a stat class of 250 students decided that she was going to curve the exam grades if the average is lower than 80. After grading 50 exams, she observed that the average is 77. She knows that the population standard deviation on this test is 10. She wanted to forecast whether a curve is needed using an appropriate hypothesis testing procedure with a=0.05 9) What are the appropriate hypotheses? 10) What is the critical value she should use? 11) Whatâ€™s the p-value for the appropriate test? 12) If she changes the ?-level, which of the following will change: the test statistic, the critical value, and/or the p-value? Explain your choice(s). According to a survey of 1180 adults, the approval rate of the President is 42% at a confidence level of 95%. We want to test to see if this rating is different from last year at the same time when it was 47%. 13) What would the hypotheses be? 14) What is the test statistic for this test? 15) What is the p-value for this test? What would be your conclusion?
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