Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n, - 37 U.S. cities. The sample mean for these cities showed that x,- 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in ng = 38 U.S. cities. The sample mean for these cities showed that x2 = 17.7% of the young adults had attended college. From previous studies, It is known that a, - 6.6% and a, = 4.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a - 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hạ: M1 < Hai Hạ: H1 - H2 O Hg: H1" Hai H M2 O Ho: H " Hại H: M < H2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference 4 - 42. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n, - 37 U.S. cities. The sample mean for these cities showed that x,- 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in ng = 38 U.S. cities. The sample mean for these cities showed that x2 = 17.7% of the young adults had attended college. From previous studies, It is known that a, - 6.6% and a, = 4.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a - 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hạ: M1 < Hai Hạ: H1 - H2 O Hg: H1" Hai H M2 O Ho: H " Hại H: M < H2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference 4 - 42. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large
surveys of people age 65 and older were taken in n, = 37 U.S. cities. The sample mean for these cities showed that x, = 15.2% of the older adults had attended
college. Large surveys of young adults (age 25 - 34) were taken in n, = 38 U.S. cities. The sample mean for these cities showed that x, = 17.7% of the young adults
had attended college. From previous studies, it is known that a, = 6.6% and az = 4.6%. Does this information indicate that the population mean percentage of
young adults who attended college is higher? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Hp: M1 = Hai H: H1 > H2
O Hg: H1 < Hai H: M- H2
O Hg: H1 = Hai H: M * M2
O Hg: H1 - H2i H: M1 < H2
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
What is the value of the sample test statistic? (Test the difference 41 - 42. Round your answer to two decimal places.)
(C) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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