Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation reallybetter educated? Large surveys of people age 65 and older were taken in n = 40 U.S. cities. The sample mean for these cities showed that x1= 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n, = 31 U.S. cities. The samplemean for these cities showed that x2 = 19.2% of the young adults had attended college. From previous studies, it is known that o1 = 6.2%and o2 = 5.4%. 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 Ho: H1 = l2; H1: H1 * l2Ho: H1 = l2; H1:H1 > H2O Ho: H1 < l2; H1: H1 = H2O Ho: H1 = l2; H1: H1 < µ2(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 unknown standard deviations.The Student's t. We assume that both population distributions are approximately normal with known standard deviations.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.What is the value of the sample test statistic? (Test the difference u1 - µ2. 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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(a) Determine the level of significance. Correct option: Option 4

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, = 40 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 31 U.S. cities. The sample mean for these cities showed that x2 = 19.2% of the young adults had attended college. From previous studies, it is known that o, = 6.2% and o2 = 5.4%. 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 Ho: H1 = H2; H1: H1 # H2 O Ho: H1 = H2i H1: H1 > H2 O Họ: H1 < l2; H1: µ1 = Hl2 O Ho: H1 = H2; H1: H1 < µ2 (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 unknown standard deviations. 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. What is the value of the sample test statistic? (Test the difference u1 - H2. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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 = 40 U.S. cities. The sample mean for these cities showed that x1
= 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n, = 31 U.S. cities. The sample
mean for these cities showed that x2 = 19.2% of the young adults had attended college. From previous studies, it is known that o1 = 6.2%
and o2 = 5.4%. 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 Ho: H1 = l2; H1: H1 * l2
Ho: H1 = l2; H1:H1 > H2
O Ho: H1 < l2; H1: H1 = H2
O Ho: H1 = l2; H1: H1 < µ2
(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 unknown standard deviations.
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
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.
What is the value of the sample test statistic? (Test the difference u1 - µ2. 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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