Confidence Intervals Assessment Test

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Questions: 10 | Attempts: 519 | Updated: Mar 21, 2023

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Confidence Intervals Assessment Test - Quiz

Confidence intervals are used in statistics as a type of interval estimate that is computed from the observed data. Take this assessment test to evaluate your knowledge of confidence intervals.

Questions and Answers

1.

Which is a type of estimate for population parameter?
- A.
  
  Shore
- B.
  
  Super
- C.
  
  Off estimate
- D.
  
  Point estimate
Correct Answer
D. Point estimate

Explanation
A point estimate is a type of estimate for a population parameter. It is a single value that is used to estimate the unknown population parameter. This estimate is based on sample data and is used to make inferences about the population. It provides a specific value that is believed to be close to the true value of the parameter.

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2.

The null value of the confidence interval for the relative risk is...
- A.
  
  0
- B.
  
  1
- C.
  
  2
- D.
  
  15
Correct Answer
B. 1

Explanation
The null value of the confidence interval for the relative risk is 1. This means that there is no difference in the risk between the two groups being compared. If the confidence interval includes 1, it suggests that there is no statistically significant difference in the relative risk between the groups.

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3.

Which is an example of dichotomous variable?
- A.
  
  Estimate
- B.
  
  Portion
- C.
  
  Density
- D.
  
  Population proportion
Correct Answer
D. Population proportion

Explanation
A dichotomous variable is a variable that can only take on two distinct values. In this case, the population proportion is an example of a dichotomous variable because it represents the proportion of a population that possesses a certain characteristic or falls into a specific category. It can only have two possible values - either the proportion possesses the characteristic or it does not. The other options, such as estimate, portion, and density, are not dichotomous variables as they can have multiple values.

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4.

A range of values that is likely to contain the value of an unknown population parameter is...
- A.
  
  Density
- B.
  
  Linear
- C.
  
  Discreet
- D.
  
  Confidence interval
Correct Answer
D. Confidence interval

Explanation
A confidence interval is a range of values that is likely to contain the value of an unknown population parameter. It is used in statistics to estimate the true value of a population parameter based on a sample. The confidence interval provides a measure of the uncertainty associated with the estimate and is often expressed as a range of values with a specified level of confidence.

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5.

Which is an important parameter in calculating confidence interval?
- A.
  
  Mean
- B.
  
  Ratio
- C.
  
  Time
- D.
  
  Level
Correct Answer
A. Mean

Explanation
The mean is an important parameter in calculating the confidence interval because it represents the average value of a dataset. The confidence interval is a range of values that is likely to contain the true population mean. By calculating the mean and determining the variability of the data, statisticians can estimate the range within which the true population mean is likely to fall with a certain level of confidence.

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1
6.

What is the confidence interval for 99?
- A.
  
  1.01
- B.
  
  2.58
- C.
  
  3.89
- D.
  
  0.66
Correct Answer
B. 2.58

Explanation
The confidence interval is a range of values within which we can be confident that the true value lies. In this case, the confidence interval for 99 is represented by the number 2.58. This means that we can be confident that the true value of 99 falls within the range of 2.58.

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7.

What is the z value for 99 confidence interval?
- A.
  
  3.33
- B.
  
  0.06
- C.
  
  2.58
- D.
  
  1.88
Correct Answer
C. 2.58

Explanation
The z value for a 99% confidence interval is 2.58. This value is derived from the standard normal distribution table and represents the number of standard deviations away from the mean that encompasses 99% of the data. In other words, if we were to construct a confidence interval using this z value, we can be 99% confident that the true population parameter falls within the interval.

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8.

Wide confidence intervals mean that your sample size was too...
- A.
  
  Huge
- B.
  
  Small
- C.
  
  Big
- D.
  
  Wide
Correct Answer
B. Small

Explanation
Wide confidence intervals indicate that there is a large amount of uncertainty in the estimate. This means that the sample size used to calculate the confidence interval was too small. A small sample size leads to less precise estimates and wider intervals, as there is less data to draw conclusions from. Therefore, the correct answer is "Small".

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9.

What is the critical value for 95 percent confidence interval?
- A.
  
  1
- B.
  
  0
- C.
  
  0.88
- D.
  
  1.96
Correct Answer
D. 1.96

Explanation
The critical value for a 95 percent confidence interval is 1.96. This value is used in statistical calculations to determine the range within which the true population parameter is likely to fall. A 95 percent confidence interval means that there is a 95 percent probability that the true parameter lies within the calculated interval. The critical value of 1.96 corresponds to a two-tailed test with a 5 percent level of significance, where 2.5 percent is allocated to each tail of the distribution.

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10.

A statistic expressing the amount of random sampling error in a survey's results is...
- A.
  
  Curve
- B.
  
  Line
- C.
  
  Margin of error
- D.
  
  Error of slope
Correct Answer
C. Margin of error

Explanation
The margin of error is a statistic used to measure the amount of random sampling error in a survey's results. It indicates the range within which the true population value is likely to fall. A larger margin of error suggests a higher level of uncertainty in the survey's findings, while a smaller margin of error indicates a higher level of confidence in the results. Therefore, the correct answer is "Margin of error."

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