Education Influences attitude and lfestyle. 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-31 U.S. aties. The sample mean for these aities showed that x, 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n,-32 U.S. aties. The sample mean for these cities showed that x, 18.6% of the young adults had attended college. From previous studies, it is known that o, 6.2% and o,4.8%. 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 signihcance? state the null and alternate hypotheses. O Hi H Hai H > Ha (b) what sampling distribution wtll you use? what assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard devations. O The standard normal. We assume that both population distributbions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. we assume that both population distributions are approxmately normal with unknown standard deviations What is the value of the sample test statistic? (Test the difference Lu,-u Round your answer to two decimal places.) (c) Find (or estmate) the P.value. (Round your answer to four deamal places.) Sketch the sampling distribution and show the area corresponding to the P-value. Us OD 8:28 hp

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Education Influences attitude and Mfestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys
of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n, = 32 U.S. aties. The sample mean for these cities showed that x, = 18.6% of the young adults had attended college. From previous studies, it is known that o, = 6.2% and o, = 4.8%.
people age 65 and older were taken in n, = 31 U.S. cties. The sample mean for these aties showed that x, = 15.2%
Does this Information Indicate that the population mean percentage of young adults who attended college is higher? Use a= 0.0s.
(a) what is the level of significance?
State the null and alternate hypotheses.
O Ha H = Hzi H: H H2
O Hại H, = 2i H,: H < 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 devlations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known 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 u, - . Round your answer to two decimal places.)
(c) Find (or estimate) the P.value. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value
us O 9I 8:28
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esc
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#3
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Transcribed Image Text:Education Influences attitude and Mfestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n, = 32 U.S. aties. The sample mean for these cities showed that x, = 18.6% of the young adults had attended college. From previous studies, it is known that o, = 6.2% and o, = 4.8%. people age 65 and older were taken in n, = 31 U.S. cties. The sample mean for these aties showed that x, = 15.2% Does this Information Indicate that the population mean percentage of young adults who attended college is higher? Use a= 0.0s. (a) what is the level of significance? State the null and alternate hypotheses. O Ha H = Hzi H: H H2 O Hại H, = 2i H,: H < 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 devlations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known 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 u, - . Round your answer to two decimal places.) (c) Find (or estimate) the P.value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value us O 9I 8:28 hp esc -> C@ #3 24 backspa 1 4 8. 9 %3D
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