PSet9.pdf Q & (1 Math 136 Problem Set 9 Due: Monday, May 13, 2024 You may use the class notes, the textbook, collaborate with your classmates, and ask questions of your instructor. To receive full credit, you must write up your own solutions independently, show all of your work, write neatly, and cite who you worked with. Writing mathematics well is a craft, aim to hone this skill! Problem 1. According to CreditCard.com, 43% of college students have a credit card. A sociologist at GCC is planning a survey of 200 students, to determine the proportion who have a credit card. (a) (2 points) Will the data obtained from the survey be quantitative or categorical? Explain. (b) (2 points) What are the shape, mean, and standard error of the sampling distribution? () (2 points) What is the probability that 125 or fewer students, out of 200, have a credit card? Problem 2. A survey of 300 teenagers in Glendale Unified School District found that 273 use their phone while in the bathroom. We want to estimate the proportion of all teenagers in GUSD who use their phone while in the bathroom, with a 90% confidence interval. (a) (2 points) What is the sample in this study? What is the population of interest? (b) (2 points) What is the variable of interest in this study? Is it quantitative or categorical? () (2 points) Find the point estimate. Is it a parameter or a statistic? (d) (2 points) Verify that the requirements for making a confidence interval are satisfied. ) ( ) (e) (2 points) Construct and interpret the confidence interval for estimating the population proportion. Problem 3. (3 points) An economist is planning a study to estimate the proportion of college students who have credit-card debt of $2,000 or more. What sample size is required if she wants the estimate to be within 2.5 percentage points, with 95% confidence, and no prior point estimate is used? ) @ N = Dashboard Calendar To Do Notifications Inbox