A nutritionist wants to see whether a new diet will help reduce weight for women. He randomly selects 15 women and assigns them to the new diet program (the length of the program is one month). For each woman, he records their weights as they start the diet and after they complete the diet program. To test whether the mean reduction in weight is significant, we would do:
Read DetailsSuppose we want to estimate the population proportion p within 2% (i.e. margin of error is 2%) with confidence level of 90%. What sample size do we need to ensure this? Choose the appropriate z-multiplier for the calculation from the following values:
Read DetailsPlease note that this question consists of four parts. You may use MINITAB to double check your final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question. Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Researchers are interested in testing whether there is any difference between the proportions of adult patients who still had hives 30 minutes after taking medications A and B. Formulate the appropriate null and alternative hypotheses that answer the research question (in terms of the appropriate parameter(s)). What conditions need to be satisfied for the hypothesis test in part 1? Are they satisfied? In addition to stating whether the conditions are satisfied or not, state and check the conditions. Calculate the test statistic and the p value for the test in part 1. Show all your work. (Using MINITAB is not acceptable.) State the final conclusion of the test at 5% significance level in the context of the problem.
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