Concept explainers
(a)
To Explain: a goodness of fit test to see if there is sufficient evidence to conclude that spinning the coin does not produce an equal proportion of heads and tails.
(a)
Answer to Problem 10.31E
There is enough evidence to help the claim that spinning the coin does not produce an equal proportion of heads and tails.
Explanation of Solution
Given:
Formula used:
Calculation:
Given:
Assume
The null hypothesis statement is that the population proportions are equal to the given proportions
The alternative hypothesis statement is the opposite of the null hypothesis:
The expected frequencies
The value of the test- statistic is then
The degree of freedom is
The P-Value is the probability of getting the value of the test statistic, or a value more extreme and
If the P-value is equal or less than to the significance level, then the alternative hypothesis is accepted and null hypothesis is rejected:
There is enough evidence to help the claim that spinning the coin does not produce an equal proportion of heads and tails.
(b)
To Explain: whether spinning the coin is equally likely to result in heads or tails.
(b)
Answer to Problem 10.31E
There is enough evidence to help the claim that spinning the coin does not produce an equal proportion of heads and tails.
Explanation of Solution
Given:
Formula used:
Calculation:
The claim is either the null hypothesis or the alternative hypothesis
The sample proportion is the number of outcomes divided by the sample size:
Test-statistic is
The P-Value is the probability of getting the value of the test statistic, or a value more extreme
If the P-value is smaller than the significance level
There is enough evidence to help the claim that spinning the coin does not produce an equal proportion of heads and tails.
(c)
To Explain: the results of part (a) and (b) comparatively.
(c)
Answer to Problem 10.31E
Same conclusion
Explanation of Solution
It observed that the part (a) and part (b) saying the same conclusion, there is no difference in the in part (a) and part (b).
Chapter 10 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
Statistics for Business and Economics (13th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Basic Business Statistics, Student Value Edition
Statistical Reasoning for Everyday Life (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
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