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 = 60 college studentswere surveyed and r = 11 of them said that blue is theirfavorite color. Does this information imply that the colorpreference of all college students is different (either way) fromthat of the general population? Use α = 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 andnq > 5.    The Student'st, since np < 5 and nq < 5.Thestandard normal, since np < 5 and nq <5.
What is the value of the sample test statistic? (Round your answerto two decimal places.)
(c) Find the P-value of the test statistic. (Round youranswer to four decimal places.)
Sketch the sampling distribution and show the area corresponding tothe P-value.
