Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 125 times and got 55 heads. We wish to find how significant is this evidence against equal probabilities. What is the sample proportion of heads?Round to 3 places. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? H0: p ≠ 0.5H0: p = 0.5 H0: p = 0.5H0: p > 0.5 H0: p = 0.5H0: p ≠ 0.5 H0: p = 0.5H0: p < 0.5 Compute the z test statistic.z = Round to 2 places.

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

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 125 times and got 55 heads. We wish to find how significant is this evidence against equal probabilities.

  1. What is the sample proportion of heads?

    Round to 3 places.

  2. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?

    Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test?

    • H0: p ≠ 0.5
      H0: p = 0.5
    • H0: p = 0.5
      H0: p > 0.5
    • H0: p = 0.5
      H0: p ≠ 0.5
    • H0: p = 0.5
      H0: p < 0.5


  3. Compute the z test statistic.

    z = Round to 2 places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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