What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.t Suppose a random sample of n = 57 college students were surveyed and r = 8 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Hoip = 0.24; H,:p < 0.24 Hoip = 0.24; H,: p# 0.24 O Ho: p = 0.24; H;: p > 0.24 Hoip # 0.24; H,iP = 0.24 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's t, since np < 5 and ng < 5. The standard normal, since np > 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others,
indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.t Suppose a random
sample of n = 57 college students were surveyed and r = 8 of them said that blue is their favorite color. Does this information imply that the
color preference of all college students is different (either way) from that of the general population? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
О но: р 3 0.24; Н,: р < 0.24
O Ho: p = 0.24; H,: p # 0.24
О но: р 3 0.24;B H,: р> 0.24
O Ho: p + 0.24; H,: p = 0.24
(b) What sampling distribution will you use?
O The Student's t, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng < 5.
O The Student's t, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Transcribed Image Text:What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.t Suppose a random sample of n = 57 college students were surveyed and r = 8 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. О но: р 3 0.24; Н,: р < 0.24 O Ho: p = 0.24; H,: p # 0.24 О но: р 3 0.24;B H,: р> 0.24 O Ho: p + 0.24; H,: p = 0.24 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The Student's t, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
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