Cereal for Breakfast. A cereal company claims 75% of Americans start the day with cereal for breakfast. You want to test this claim so you randomly sample 100 Americans and ask them what they eat for breakfast. 65 of them say cereal. Test the cereal company's claim at a 5% level of significance. (a) Select the correct null and alternative hypotheses. O Ho: p = 0.75 Hạ: p < 0.75 OH,: p = 0.65 Hạ: p < 0.65 O Ho: p = 0.65 H3: p > 0.65 O H:: p = 0.75 Hạ: p = 0.75 O Ho: p = 0.65 Hạ: p = 0.65 O Ho: p = 0.75 Hạ: p > 0.75 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. O There is sufficient evidence to reject the company's claim. O There is sufficient evidence to support the company's claim. O There is not sufficient evidence to support the company's claim. O There is not sufficient evidence to reject the company's claim.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Cereal for Breakfast. A cereal company claims 75% of Americans start the day with cereal for breakfast. You want to test this claim so you randomly sample 100 Americans and ask them what they eat for breakfast. 65 of them say cereal. Test the cereal company's claim at a 5% level of significance.


(a) Select the correct null and alternative hypotheses.

  • Ho: p = 0.75
    Ha: p < 0.75
  • Ho: p = 0.65
    Ha: p < 0.65
  • Ho: p = 0.65
    Ha: p > 0.65
  • Ho: p = 0.75
    Ha: p ≠ 0.75
  • Ho: p = 0.65
    Ha: p ≠ 0.65
  • Ho: p = 0.75
    Ha: p > 0.75




(b) Find the p-value (round to three significant figures). 


(c) Write the final conclusion using everyday language.

  • There is sufficient evidence to reject the company's claim.
  • There is sufficient evidence to support the company's claim.
  • There is not sufficient evidence to support the company's claim.
  • There is not sufficient evidence to reject the company's claim.
Cereal for Breakfast. A cereal company claims 75% of Americans start the day with cereal for breakfast.
You want to test this claim so you randomly sample 100 Americans and ask them what they eat for
breakfast. 65 of them say cereal. Test the cereal company's claim at a 5% level of significance.
(a) Select the correct null and alternative hypotheses.
Она: р - 0.75
Hạ: p < 0.75
Она: р - 0.65
Hạ: p < 0.65
Она: р - 0.65
Hạ: p > 0.65
Она: р- 0.75
H2: p = 0.75
Она: р - 0.65
Hạ: p = 0.65
Он: р- 0.75
На: р> 0.75
(b) Find the p-value (round to three significant figures).
(c) Write the final conclusion using everyday language.
O There is sufficient evidence to reject the company's claim.
O There is sufficient evidence to support the company's claim.
There is not sufficient evidence to support the company's claim.
O There is not sufficient evidence to reject the company's claim.
Transcribed Image Text:Cereal for Breakfast. A cereal company claims 75% of Americans start the day with cereal for breakfast. You want to test this claim so you randomly sample 100 Americans and ask them what they eat for breakfast. 65 of them say cereal. Test the cereal company's claim at a 5% level of significance. (a) Select the correct null and alternative hypotheses. Она: р - 0.75 Hạ: p < 0.75 Она: р - 0.65 Hạ: p < 0.65 Она: р - 0.65 Hạ: p > 0.65 Она: р- 0.75 H2: p = 0.75 Она: р - 0.65 Hạ: p = 0.65 Он: р- 0.75 На: р> 0.75 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. O There is sufficient evidence to reject the company's claim. O There is sufficient evidence to support the company's claim. There is not sufficient evidence to support the company's claim. O There is not sufficient evidence to reject the company's claim.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman