
a)
To explain the effect of larger
a)

Answer to Problem 9.57E
As sample size increases then margin of error decreases.
Explanation of Solution
Given:
Sample size increases.
Formula:
Margin of error of 95% confidence interval.
Calculation:
When we increase the size of the sample, then we obtain more information about the population and thus any estimates will be more accurate. As we can see in formula, sample size is in denominator. Since the margin of error depends on the variability, the margin of error will then decrease as well.
b)
To explain the effect of larger sample size on p-value.
b)

Answer to Problem 9.57E
As sample size increases then p-value decreases.
Explanation of Solution
Given:
Sample size increases.
Calculation:
When we increase the size of the sample, then we obtain more information about the population and thus any estimates will be more accurate.
If the estimates are more accurate, then we are more likely to detect that Ho is actually false. Therefore, we will reject the null hypothesis H0
If the P-value is sufficiently small, then the null hypothesis is rejected. Since we reject the null hypothesis more often, then the P-value thus has to become smaller.
Chapter 9 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A First Course in Probability (10th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics (13th Edition)
Pre-Algebra Student Edition
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