Mix and match a. A town has 30,000 registered voters of whom 12,000 are Democrats. A survey organization takes a random sample of 1,000 voters of whom 330 are Democrats. Match each phrase with a number/description from the list below. Some numbers may be used multiple times. Others may not get used at all. Phrase Number/Description parameter i 33% denominator of statistic ii. 40% iii. 1.5% observed value of statistic iv. 30,000 V. 1,000 standard error of statistic expected value of statistic b. Seatbelt use in WA state is at an all-time high at 95%. Suppose we label each person in WA state with a "1" if they use seatbelts and "0" otherwise. i. Which of the following describes the population distribution of seatbelt use? Box 1: 95 ones, 5 zeros Box 2: 5 ones, 95 zeros Box 3: 9 ones, 1 zero Write box here ii Suppose we randomly select one WA state resident and note whether they use or don't use seatbelts. Write the probability model for this random variable (call it X) by filling in the table below. P(X=x) iii. What should we expect for this random variable? Calculate E(X). How does this compare with the mean of the numbers in the box? Write expected value and then calculate mean of numbers in the box and answer ##you can use Ras a calculator to do any calculations iv. What is the standard deviation of this random variable? Calculate SD(X). How does this compare with the standard deviation of the numbers in the box? (Hint: the numbers in the box are just a list of numbers) Write standard deviation and then calculate standard deviation of numbers in the box and answer ##you can use R as a calculator to do any calculations V. The state of Mississippi only has 60% seatbelt use. Suppose you randomly select a resident from Mississippi and note their seatbelt use. Call this random variable Y. How does SDX) compare with SD(Y)? Which SD is larger? Intuitively (not mathematically) why does the answer make sense? Write which of X or Y has larger SD and then explain why it makes sense intuitively ##you can use R as a calculator to do any calculations