Answered: or.† Suppose a random sample of n = 55…

Name: and others, indicated that most people prefer the color blue. In fact,
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Description: and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 55 college students were surveyed and r = 13 of them said that blue is their favori

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 55 college students were surveyed and r = 13 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 ? = 0.05.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p = 0.24; H₁: p > 0.24H₀: p = 0.24; H₁: p < 0.24 H₀: p ≠ 0.24; H₁: p = 0.24H₀: p = 0.24; H₁: p ≠ 0.24

(b) What sampling distribution will you use?

The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 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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