statistics and probability

3:46 AT&T 3:46 AT&T 1. [0.6/1.5 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.3.010.MI.S. X 8.3 Hmwk - Testing a P... MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER webassign.net Women athletes at a certain university have a long-term graduation rate of 67%%. Over the past several years, a random sample of 36 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER athletes who graduate from the university is now less than 67%? Use a 10% level of significance. What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others LA USE SALT 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 = 60 college students were surve its were surveyed and / = 11 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 ox - 0.05. (a) What is the level of significance? 0.10 LA USE SALT b) State the null and alternate hypotheses. (a) What is the level of significance? Hop - 067: H, 0 = 0.67 O Hyp 0.2 Hyp= 0.67; H,:p x 0.67 OH, D - Q24. H, D = 0.24 O Hop + 0.24; H,: p = 0.24 What sampling distribution will you use? The Student's t since np > 5 and no > 5. (b) What sampling distribution will you use? ( The standard normal, since no > 5 and my > 5. The standard normal, since no > 5 and ng > 5. The standard normal, since ap . 5 and ng . 5. O The standard normal, since no . 5 and no 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) The Student's t, since no