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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orchestra answered 1 year ago

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