Statistical Inference for Population Proportions Quiz
Explore statistical inference for population proportions with questions on margin of error, hypothesis testing, confidence intervals, and more.
#1
What is statistical inference?
A method to summarize data
The process of making predictions about a population based on sample data
A technique to visualize data
A way to collect data
#2
What is a population proportion?
The average value of a population
The ratio of a specific subset to the total population
The standard deviation of a population
The range of values in a population
#3
What is the formula to calculate the margin of error for a population proportion?
(1.96 * √(p̂(1-p̂))/n)
(1.645 * √(p̂(1-p̂))/n)
(2.58 * √(p̂(1-p̂))/n)
(z * √(p̂(1-p̂))/n)
#4
In a survey of 500 people, 70% prefer option A. What is the point estimate for the population proportion?
#5
What is the confidence level in statistical inference?
The probability that the sample proportion equals the population proportion
The probability that the sample statistic falls within a certain range of the population parameter
The probability that the sample size is sufficient for analysis
The probability that the sample is representative of the population
#6
What is the purpose of a hypothesis test for population proportions?
To estimate the population proportion
To determine if the sample proportion is statistically significant
To calculate the margin of error
To compare two population proportions
#7
What is the standard error of the sample proportion?
The standard deviation of the sample proportion
The standard deviation of the population proportion
The margin of error of the sample proportion
The square root of the sample size
#8
In hypothesis testing for population proportions, what is the null hypothesis?
There is no difference between the sample proportion and the population proportion
There is a significant difference between the sample proportion and the population proportion
The sample proportion is greater than the population proportion
The sample proportion is less than the population proportion
#9
What is the formula to calculate the sample size required for estimating a population proportion with a desired margin of error?
(z^2 * p̂(1-p̂)) / (E^2)
(z * √(p̂(1-p̂))/n)
(1.96 * √(p̂(1-p̂))/n)
(E^2 / (z^2 * p̂(1-p̂)))
#10
What assumption is typically made when constructing a confidence interval for a population proportion?
The population distribution is normally distributed
The sample size is small
The population proportion is known
The population proportion is skewed
#11
What is Type I error in hypothesis testing for population proportions?
Rejecting the null hypothesis when it is true
Failing to reject the null hypothesis when it is true
Rejecting the null hypothesis when it is false
Failing to reject the null hypothesis when it is false
#12
What is Type II error in hypothesis testing for population proportions?
Failing to reject the null hypothesis when it is false
Rejecting the null hypothesis when it is false
Failing to reject the null hypothesis when it is true
Rejecting the null hypothesis when it is true
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