MATH 225N WEEK 7 HYPOTHESIS TESTING
ACADEMIC PREP SCRIPT 2026 TESTED
KNOWLEDGE VERIFIED ANSWERS
◉ What happens to the value of the statistic each time we pull a
random sample? Answer: The value of the statistic can vary.
◉ What does the margin of error determine in a confidence interval?
Answer: How much needs to be added and subtracted from the
statistic calculated from the sample.
◉ What does the level of confidence represent in a confidence
interval? Answer: The likelihood that our confidence interval
contains the true population parameter.
◉ What does the standard error account for in a confidence
interval? Answer: The amount of variability in the statistics used.
◉ What dictates the critical value in a confidence interval formula?
Answer: The level of confidence stated in the problem.
◉ What is the midpoint of a calculated confidence interval called?
Answer: The point estimate.
,◉ What does the confidence interval estimate for categorical data?
Answer: The population proportion.
◉ What is the point estimate for the confidence interval in
categorical data? Answer: The sample proportion.
◉ What does the confidence interval estimate for quantitative data?
Answer: The population mean.
◉ What is the point estimate for the confidence interval in
quantitative data? Answer: The sample mean.
◉ What does a confidence interval provide? Answer: An estimate for
the population parameter.
◉ What does a hypothesis test determine? Answer: If we have
enough evidence to make a claim about a population parameter.
◉ What is the correct way to calculate the confidence interval?
Answer: Point estimate ± margin of error.
◉ What increases if we decrease the sample size in a confidence
interval? Answer: The standard error.
, ◉ What happens to the width of the confidence interval if we
increase the level of confidence? Answer: The interval gets wider.
◉ What is a drawback of increasing the sample size? Answer: It can
take more time and money to collect data.
◉ What is a benefit of increasing the sample size? Answer: It will
cause the width of the interval to get narrower.
◉ What likelihood does increasing confidence give us regarding the
true population parameter? Answer: A higher likelihood that the
confidence interval contains the true population parameter.
◉ What happens to the width of a confidence interval if we increase
the level of confidence? Answer: The width of the interval gets wider.
◉ What is the sample proportion if the confidence intervals are from
a random sample with a sample proportion of 0.50? Answer: The
midpoint of all the intervals will be the same (0.50).
◉ What is the sample size for the interval (97.16, 102.84)? Answer:
300
ACADEMIC PREP SCRIPT 2026 TESTED
KNOWLEDGE VERIFIED ANSWERS
◉ What happens to the value of the statistic each time we pull a
random sample? Answer: The value of the statistic can vary.
◉ What does the margin of error determine in a confidence interval?
Answer: How much needs to be added and subtracted from the
statistic calculated from the sample.
◉ What does the level of confidence represent in a confidence
interval? Answer: The likelihood that our confidence interval
contains the true population parameter.
◉ What does the standard error account for in a confidence
interval? Answer: The amount of variability in the statistics used.
◉ What dictates the critical value in a confidence interval formula?
Answer: The level of confidence stated in the problem.
◉ What is the midpoint of a calculated confidence interval called?
Answer: The point estimate.
,◉ What does the confidence interval estimate for categorical data?
Answer: The population proportion.
◉ What is the point estimate for the confidence interval in
categorical data? Answer: The sample proportion.
◉ What does the confidence interval estimate for quantitative data?
Answer: The population mean.
◉ What is the point estimate for the confidence interval in
quantitative data? Answer: The sample mean.
◉ What does a confidence interval provide? Answer: An estimate for
the population parameter.
◉ What does a hypothesis test determine? Answer: If we have
enough evidence to make a claim about a population parameter.
◉ What is the correct way to calculate the confidence interval?
Answer: Point estimate ± margin of error.
◉ What increases if we decrease the sample size in a confidence
interval? Answer: The standard error.
, ◉ What happens to the width of the confidence interval if we
increase the level of confidence? Answer: The interval gets wider.
◉ What is a drawback of increasing the sample size? Answer: It can
take more time and money to collect data.
◉ What is a benefit of increasing the sample size? Answer: It will
cause the width of the interval to get narrower.
◉ What likelihood does increasing confidence give us regarding the
true population parameter? Answer: A higher likelihood that the
confidence interval contains the true population parameter.
◉ What happens to the width of a confidence interval if we increase
the level of confidence? Answer: The width of the interval gets wider.
◉ What is the sample proportion if the confidence intervals are from
a random sample with a sample proportion of 0.50? Answer: The
midpoint of all the intervals will be the same (0.50).
◉ What is the sample size for the interval (97.16, 102.84)? Answer:
300
