statistics and probability

7. [-/2 Points] DETAILS BBUNDERSTAT12 8.5.035.MI.5. 8. [-/3 Points] DETAILS BBUNDERSTAT12 8.5.020.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Generally speaking, would you say that most people can be trusted? A random sample of n, - 242 people in Chicago ages 18-25 A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age showed thatr, = 40 said yes. Another random sample of 2 = 287 people in Chicago ages 35-45 showed that ry = 73 said yes Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. Rate of hay fever per 1000 population for people under 25 100 92 121 130 94 123 112 93 125 95 125 117 97 122 127 BE LA USE SALT A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. *2: Rate of hay fever per 1000 population for people over 50 [a) What is the level of significance? 97 108 99 95 110 98 110 115 100 89 114 85 96 State the null and alternate hypotheses. LOL USE SALT () Use a calculator to calculate x, s,. x2, and so. (Round your answers to four decimal places.) O HOP, = Poh, P, * P2 (b) What sampling distribution will you us e you making? The Student's t We assume the population re approximately normal. (ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the The standard normal. We assume the population distributions are approximately nomal. age group over 50 has a lower rate of hay fever? Use cc - 0.05. (al Whatis the level of significance? The standard normal. The number of trials is sufficiently large The Students t The number of State the null and alternate hypotheses What is the value of the sample test statistic? (Test the difference p, - p2 Do notuse rounded values. Round your final answer to two decimal places.) [e) Find (or estimate) the Puvalue (found your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population distributions are approximat with ur known standard deviations. The standard normal. We a with known standard deviations The Student's :. We assum The stands andard deviations What is the value of the sample test statistic? (Test the difference te, - Leg Round your answer to three decimal places.) (c) Find (or estimate) the P-value. PyBlue > 0.250 0.125