What is your favorite color? A large survey of countries, including the United States, China, Russia,...

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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. Infact, about 24% of the population claim blue as their favoritecolor.† Suppose a random sample of n = 54 college students weresurveyed and r = 11 of them said that blue is their favorite color.Does this information imply that the color preference of allcollege students is different (either way) from that of the generalpopulation? Use ? = 0.05. (a) What is the level of significance?0.05 Correct: Your answer is correct. State the null and alternatehypotheses. H0: p = 0.24; H1: p > 0.24 H0: p = 0.24; H1: p ?0.24 H0: p ? 0.24; H1: p = 0.24 H0: p = 0.24; H1: p < 0.24Correct: Your answer is correct. (b) What sampling distributionwill you use? The Student's t, since np > 5 and nq > 5. Thestandard normal, since np < 5 and nq < 5. The Student's t,since np < 5 and nq < 5. The standard normal, since np > 5and nq > 5. Correct: Your answer is correct. What is the valueof the sample test statistic? (Round your answer to two decimalplaces.) -0.04 Incorrect: Your answer is incorrect. (c) Find theP-value of the test statistic. (Round your answer to four decimalplaces.) 0.24 Incorrect: Your answer is incorrect.

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a)?=0.05

Ho :   p =    0.24
H1 :   p ?   0.24

b) The standard normal, since np > 5 and nq > 5

Number of Items of Interest,   x =   11                  
Sample Size,   n =    54                  
                          
Sample Proportion ,    p? = x/n =    0.2037                  
                          
Standard Error ,    SE = ?( p(1-p)/n ) =    0.0581                  
Z Test Statistic = ( p?-p)/SE = (   0.2037   -   0.24   ) /   0.0581   =   -0.62

c)

p-Value   =   0.5323


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