Confidence Intervals and Hypothesis Testing

Confidence Intervals and Hypothesis Testing

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers interval estimation and confidence intervals in inferential statistics. It explains point estimation, confidence levels, and the conditions required for constructing confidence intervals. The tutorial also delves into hypothesis testing, including null and alternative hypotheses, significance levels, and types of errors. Finally, it discusses the inference of two proportions and provides formulas for calculations.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between point estimation and interval estimation?

Point estimation provides a range of values.

Point estimation provides a single value, while interval estimation provides a range.

Interval estimation provides a single value.

Interval estimation is always more accurate than point estimation.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a component of a confidence interval?

Standard deviation

Sample size

Margin of error

Population variance

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a 95% confidence level imply?

95% of the confidence intervals will contain the true population parameter.

95% of the sample values fall within the interval.

The interval is 95% accurate.

95% of the population values fall within the interval.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sample proportion denoted by?

mu

x-bar

p-hat

p

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which condition is NOT required for constructing a confidence interval for population proportions?

Randomness

Large sample size

Independence

Normality

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the margin of error calculated in a confidence interval?

By dividing the z-score by the sample size

By multiplying the z-score with the standard deviation

By adding the z-score to the sample mean

By multiplying the z-score with the estimated standard error

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an incorrect interpretation of a confidence interval?

We are 90% confident that the population mean is within the interval.

There is a 90% probability that the population mean is within the interval.

The interval will capture the true parameter 90% of the time.

We are 90% sure that the population mean is within the interval.

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