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

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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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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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