(b) What sampling distribution will you use? What assumptions are you making? O P 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. 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 known standard deviations. What is the value of the sample test statistic? (Test the difference u, - Hy. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
(b) What sampling distribution will you use? What assumptions are you making? O P 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. 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 known standard deviations. What is the value of the sample test statistic? (Test the difference u, - Hy. 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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Hi could you answer whats blank?
![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 x, = 15.2% of the older adults had attended college. Large surveys of young adults
(age 25 - 34) were taken in n, = 37 U.S. cities. The sample mean for these cities showed that x, = 19.7% of the young adults had attended college. From previous studies, it is known
that o, = 6.8% 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 significance?
State the null and alternate hypotheses.
Ho: H1 = H2; Hqi Hq> Hz
O P Ho: H1 = Hz; Hii Hq<Hz
O Ho: H1 = H2i H;: Hq# Mz
O Ho: H1 < H2i HH1 = H2
(b) What sampling distribution will you use? What assumptions are you making?
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.
O The standard normal. We assum
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.
What is the value of the sample test statistic? (Test the difference u, - H3. Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8619578c-37b5-4fb0-aae6-ee38ee9fdc66%2F9c1eeeef-f67d-429a-b14f-db18450a574c%2Fbj9hque_processed.png&w=3840&q=75)
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, = 40 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, = 37 U.S. cities. The sample mean for these cities showed that x, = 19.7% of the young adults had attended college. From previous studies, it is known
that o, = 6.8% 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 significance?
State the null and alternate hypotheses.
Ho: H1 = H2; Hqi Hq> Hz
O P Ho: H1 = Hz; Hii Hq<Hz
O Ho: H1 = H2i H;: Hq# Mz
O Ho: H1 < H2i HH1 = H2
(b) What sampling distribution will you use? What assumptions are you making?
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.
O The standard normal. We assum
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.
What is the value of the sample test statistic? (Test the difference u, - H3. 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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