Question

In: Math

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

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 of n = 54 college students were surveyed and r = 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 α = 0.05. (a) What is the level of significance? 0.05 Correct: Your answer is correct. State the null and alternate hypotheses. 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 < 0.24 Correct: Your answer is correct. (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's t, since np < 5 and nq < 5. The standard normal, since np > 5 and nq > 5. Correct: Your answer is correct. What is the value of the sample test statistic? (Round your answer to two decimal places.) -0.04 Incorrect: Your answer is incorrect. (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) 0.24 Incorrect: Your answer is incorrect.

Solutions

Expert Solution

a)α=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 ,    p̂ = x/n =    0.2037                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0581                  
Z Test Statistic = ( p̂-p)/SE = (   0.2037   -   0.24   ) /   0.0581   =   -0.62

c)

p-Value   =   0.5323


Related Solutions

What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 57 college students were surveyed and r = 10 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicate that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color (Reference: Study by J. Bunge and A. Freeman-Gallant, Statistics Center, Cornell University). Suppose a random sample of 56 college students were surveyed and 12 of them said that blue is their favorite color. Does this information imply that...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 59 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 57 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 55 college students were surveyed and r = 9 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 54 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
What is your favorite color? A large survey of countries, including the United States, China, Russia,...
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 of n = 60 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is...
Color Preference. What is your favorite color? A large survey of countries indicated that most people...
Color Preference. What is your favorite color? A large survey of countries indicated that most people prefer the color blue. About 26% of the population claim blue as their favorite color. Suppose you randomly sample of 56 college students and nine of them said their favorite color is blue. Does this information imply that the color preference of all college students is different from that of the general population? Use a significance level of 10%. a. What is the null...
Why is Russia a bigger threat to the United States than China.
Why is Russia a bigger threat to the United States than China.
If at all, is China or Russia a great power competitor to the United States? (pick...
If at all, is China or Russia a great power competitor to the United States? (pick one) Please take all political/economical factors into consideration.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT