Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. what is your favorite color? a large survey of cou

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

70.2K

Verified Solution

Question

Statistics

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.

Answer & Explanation Solved by verified expert
3.9 Ratings (748 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Mechanical Engineering
1.2K views

Examine the following abstract: “In this study, we investigate the behavior of new nano ZrO2 and Al2O3-13...

Operations Management
1.2K views

David works as process supervisor at an industrial plant company. In his company, he is known...

Basic Math
1.2K views

Detail one instance in which regression analysis can be used in a business application. Explain what...

Biology
1.2K views

3 No diseases have ever been fully True or false Evidence 4 Cows buffalo and...

Physics
1.2K views

4 The displacement produced by a simple harmonic 10 period and maximum velocity of the...

Geometry
1.2K views

JK 37 KI 32 JI 42 NL 16 and ML 21 find the perimeter of...

Basic Math
1.2K views

Heights of AHS Girls basketball team players are approximately normally distributed with a mean of...

Statistics
1.2K views

A university conducted a survey of 383 undergraduate students regarding satisfaction with student government Results...

Calculus
1.2K views

Conversions to and fro Metric System The speed limit is 40 kilomete per hour

Accounting
1.2K views

please help and show work if possible !!! ...

Accounting
1.2K views

Question 1 The FIFO inventory method assumes that costs for the first units purchased are...

Accounting
1.2K views

Problem 1. E6-61B Absorption and variable costing income statements (3 pts) The annual data that...