Question

Question 5: Choose only one of the following hypothesis tests Seriously, you only need to do #5a or #5b. Do not do both. 5a. Let’s go back to the information about the age of the mothers of the students at the time of their births. Suppose we conduct a hypothesis test of whether the sample data provide strong evidence that the population mean mother’s age is less than 30 years. a. What are the observational units in this study? b. What is the variable in this study (there is only one)? c. State the appropriate null and alternative hypotheses, in both words and in symbols. d. Calculate the test statistic and determine the p-value. e. Decide if you reject the null hypothesis at the 0.10 significance level. Explain your decision. f. Write a one sentence conclusion, summarizing what the data reveal about the ages of the mothers of the students. g. Would the p-value have been larger, smaller, or the same if a larger sample size had been used and all else turned out the same? (Do not bother to explain.) h. Would the p-value have been larger, smaller, or the same if the sample mean had been smaller and all else turned out the same? (Do not bother to explain.) 5b. A student wants to assess whether her dog Groot tends to chase her blue ball more often than she chases her red ball. The student rolls both a blue ball and a red ball at the same time and observes which ball Groot chooses to chase. Repeating this process a total of 96 times, the student finds that Groot chased the blue ball 52 times and the red ball 44 times. a. What are the observational units in this study? b. What is the variable in this study (there is only one)? c. State the appropriate null and alternative hypotheses, in both words and in symbols. d. Calculate the test statistic and determine the p-value. e. Decide if you reject the null hypothesis at the 0.10 significance level. Explain your decision. f. Write a one sentence conclusion, summarizing what the data reveal about whether Groot tends to chase the blue ball more often than the red ball. g. Would the p-value have been larger, smaller, or the same if a larger sample size had been used and all else turned out the same? (Do not bother to explain.) h. Would the p-value have been larger, smaller, or the same if the level of significance used had been smaller and all else turned out the same? (Do not bother to explain.)

Answer 1