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.Suppose a random sample ofn=60college students were surveyed andr=10of 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:p0.24;H₁:p= 0.24H₀:p= 0.24;H₁:p0.24

(b) What sampling distribution will you use?

The standard normal, sincenp< 5 andnq< 5.The Student'st, sincenp> 5 andnq> 5. The standard normal, sincenp> 5 andnq> 5.The Student'st, sincenp< 5 andnq< 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find theP-value of the test statistic. (Round your answer to four decimal places.)