Ch 8 review stick in b and beyond

5. A 2019 study published in the journal Child Development found that 73% of high school seniors in the U.S. have their driver's license. A random sample of 170 U.S. high school seniors is taken. (Source) Find the following: n=170 (120 * 0,73 )0. P =0:73 = 23.6 a. Verify that the conditions of the Central Limit Theorem for Proportions are met. 9=0.24 Random yes- genen Independent - yes 1404 (0.5) 6ll serious) Normal - yes ( np ) = ( 170 ) ( 0 .73 ) = 124.1 n( 1 -p ) = 170 ( 1 - 0.73 ) = 45,9 (170 0.27) $45.9 (170) (0:73) (0.24 ): 33.507 b. Describe the sampling distribution of the sample proportion. (Give shape, center, and SI spread using symbols and formulas as necessary. Give 5 decimal places for spread.I Coursepack, p. 6 MAT 133: Ch 8 Review WS, p.3 Continuing with Driver's License Problem: (Shade and label appropriately; Give 4 decimal places and P(X) notation from StatCrunch, circling the answer) c. Find the probability that the proportion of H.S. seniors in a random sample of 170 that with drivers' licenses is less than 75% Please show all math d. Find the 15th percentile. e. Would it be unusual to have more than x = 136 high school seniors with a driver's license in a random group of 170? Explain with probability. f. Suppose the scenario in part e) actually happens. List three conclusions you might draw with explanations