What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, andothers, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.tSuppose a random sample of n = 59 college students were surveyed and r = 8 of them said that blue is their favorite color. Doesthis information imply that the color preference of all college students is different (either way) from that of the generalpopulation? Use a = 0.05.A USE SALT(a) What is the level of significance?State the null and alternate hypotheses.O Ho: p = 0.24; H,: p + 0.24O Họ: p = 0.24; H: p < 0.24Hoi p + 0.24; H4: p = 0.24O Ho: P = 0.24; H,: p > 0.24(b) What sampling distribution will you use?O The standard normal, since np > 5 and ng > 5.The standard normal, since np < 5 and ng < 5.O The Student's t, since np > 5 and ng > 5.The Student's t, 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.)Sketch the sampling distribution and show the area corresponding to the P-value.O-3-2-113O-3-2-11-1 0 1-1 0 1O-3-23O-3-2(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.AAt the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring thecolor blue differs from 0.24.O There is insufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring thecolor blue differs from 0.24.

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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 = 59 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 USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Hoi p = 0.24; H,ip + 0.24 Ho: P = 0.24; H:p < 0.24 Ho: p + 0.24; H: p = 0.24 %3D O Ho: P = 0.24; H:p > 0.24

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 = 59 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 USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Hoi p = 0.24; H,ip + 0.24 Ho: P = 0.24; H:p < 0.24 Ho: p + 0.24; H: p = 0.24 %3D O Ho: P = 0.24; H:p > 0.24

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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