Question

9. (14 points) For each scenario below, indicate the appropriate test and alternative hypothesis by selecting two let- ters from the following: (A) single mean, (B) difference of means, (C) paired means, (D) correlation, (E) single proportion, (F) difference of proportions. (G) chi-square independence, (X)H: < or H : > Bo, (Y) H :8 , and (Z) H, the 2 nominal variables are not independent. Here, stands for a population parameter and its assumed value under the null hypothesis. Each letter may be used any number of times. (a) Randomly selected people took a quiz, with those earning 70% or higher classified as "sware" and those earning 69% or less classified as "not aware. The percent of men and women classified as "aware" are to be compared to determine if women are more politically aware than men. (b) It's known that animal heart rates increase during physical exertion. A researcher wants to know if human heart rates increase during other stressful events, like exams. The blood pressures of 200 random people were measure before and after taking an exam. (C) A newly-found mutant gene is of particular interest to a researcher. They want to know if the proportion of people that have this gene is less than 1% or not. (d) Do different levels of education lead to more fruitful careers? Hundreds of randomly selected individuals are interviewed to determine their highest level of education (graduate, undergraduate, trade school, some college, high school, or less than high school) and their assessment of their career's fruitfulness (very good. good, average, bad, or very bad). (e) An intelligence test is given to random college students. Then, they are asked for their average number of hours spent playing video games each week. The college's research team wants to know if there is a linear relationship between intelligence and average number of hours spent playing video games. (1) Does produce, on average, cost a different amount at Walmart than Safeway? (8) Many amusement park rides require that their riders be at least 40 inches tall for safety reasons. At a particular amusement park, the attractions appeal mostly to children between the ages of 4 and 6. Is the average height of this age group too short to even attend amusement parks to ride rides?

Answer 1

ad) Since the o% of men and women classified as aware are to le compared to det vermine if women are on politically aware tham men, so we are testing welethen the proportion of aware women we na llion that of me. is F, X b) BP of 200 random people were measured before and after taking an exam to know if human heart sales insuar during other stressful events like exam, & paired mean is the appropriate test. & hoaxe. His for My <0 oherce Pa = mean rapa batore 6. C, X My a c allir c) The use archer wants to know if the peoposetion of people that how the gene is less than 1%.or not. & Single proportion test is appropriate & Hip cool. Ex 2) The seese anchure wants to tell if the different levels of education land to mose fruitful camere since the variables are cat orgonical so we go for chi-squeen test of independence G, ?

e) The college's research wants to know if there is a linear relationsliep leetwan intelligence. playing and average no. of. hower spent video games hle test for the cerved Since we want to keow if breaduce or aroeage cast a different amame at Walmare them Safeway he tur for ele difference of means B,Y to see g). The test is to if the average bright of children lecteren ages 4 e6 is too shout to attend the amusement back rides . Hore is single variable I nee want de lest walance whellve the average le of children is to las then the speeefia age.