For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students 129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c). a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles? (Round to three decimal places as needed.) b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence interval using proper notation? O A. 0.407

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
Topic Video
Question
For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students
129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c).
a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles?
O(Round to three decimal places as needed.)
b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence
interval using proper notation?
O A. 0.407 < p< 0.524
O B. 0.407 <x < 0.524
O C. 0.407 < p<0.524
c. What do the results suggest about whether or not a majority of all college students have a preference for Maruchan ramen noodles?
O A. Since the upper confidence limit is above 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles.
O B. Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that a majority of all college students have a preference for Maruchan ramen noodles.
O C. Since the confidence interval is not entirely below 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles.
(?
Click to select your answer(s).
11:01 PM
2/20/2021
P Type here to search
PgUp
F11
PgDn
F12
End
DII
小
PrtScn
F8
Home
F9
F10
Esc
F6
F4
F5
F7
F1
F2
F3
#
$
%
&
(
@
2
3
4.
6.
7
8
W
R
Y
U
P
Transcribed Image Text:For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students 129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c). a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles? O(Round to three decimal places as needed.) b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence interval using proper notation? O A. 0.407 < p< 0.524 O B. 0.407 <x < 0.524 O C. 0.407 < p<0.524 c. What do the results suggest about whether or not a majority of all college students have a preference for Maruchan ramen noodles? O A. Since the upper confidence limit is above 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles. O B. Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that a majority of all college students have a preference for Maruchan ramen noodles. O C. Since the confidence interval is not entirely below 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles. (? Click to select your answer(s). 11:01 PM 2/20/2021 P Type here to search PgUp F11 PgDn F12 End DII 小 PrtScn F8 Home F9 F10 Esc F6 F4 F5 F7 F1 F2 F3 # $ % & ( @ 2 3 4. 6. 7 8 W R Y U P
Expert Solution
Step 1

a.

Consider that p is the true population proportion of college students that have a preference for Maruchan ramen noodles, and the point estimate of p is = x/n, such that, x is the number of favorable cases and n is the sample size.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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