Question
In: Statistics and Probability
Determine if each of the following statements is true or false As the confidence interval percentage...
Determine if each of the following statements is true or false
- As the confidence interval percentage number increases the confidence interval will get wider.
- Confidence intervals always contain the population value (parameter).
- As the confidence interval percentage number increases the margin of error will increase
- As the sample size increases the standard error will increase
- If the test statistic is too small (negative) or too large (positive), the p-value would be large
Solutions
Expert Solution
a)As the confidence interval percentage number increases the confidence interval will get wider.
Yes as the confidence interval percentage number increases the confidence interval will get wider.
Answer: True
b)Confidence intervals always contain the population value (parameter).
This statement is false as there are chances that Confidence intervals may not contain the population value.
Answer: False
c) As the confidence interval percentage number increases the margin of error will increase.
Yes, as the confidence interval percentage number increases the margin of error will increase.
Answer: True
d)As the sample size increases the standard error will increase
the standard error is inversely proportional to the sample size.
Answer: False
e)If the test statistic is too small (negative) or too large (positive), the p-value would be large
If the test statistic is too small (negative) or too large (positive), the p-value would be smaller.
Answer: False
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