Sampling Distributions
Which of the following is a method of sampling in which every individual has an equal chance of being selected?
Stratified Random Sampling
Systematic Sampling
Simple Random Sampling
Cluster Sampling
If the size of a simple random sample is quadrupled, how does this change affect the standard deviation of the sampling distribution for sample proportions?
The standard deviation is halved.
The standard deviation remains unchanged.
The standard deviation doubles.
The standard deviation is multiplied by four.
A teacher wants to estimate what percentage her class understands a concept; why would increasing her classroom's random survey participants enhance accuracy?
It guarantees an absolutely accurate representation due directly correlating increased numbers understanding concepts.
It ensures that every possible subset combination will be represented within her surveyed group
It reduces variability and thus tightens confidence intervals around estimated proportions leading towards greater precision and potentially accuracy if unbiased.
It results invariably correct estimates since bigger samples eliminate all forms bias or distortion inherently present within any set data points.
For a given population with proportion , which formula represents the standard deviation of the sampling distribution for samples with size ?
What method involves selecting every kth element from a list after a random start?
Stratified Random Sampling
Simple Random Sampling
Convenience Sampling
Systematic Sampling
What is the mean of the sampling distribution of sample proportions typically called?
The margin of error.
The sample proportion.
The standard error.
The population proportion.
What does it mean if the sampling distribution is unbiased?
The sampling distribution underestimates the true population proportion by a constant amount
The sampling distributes sample proportion ratios altogether
The expected value of the sampling distribution equals the population proportion
The sampling distribution overestimates the population proportion most of the time

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Question #3: Which scenario would justify using an SRS (Simple Random Sample) instead of another type of random sampling method when estimating college attendance rates in rural areas?
INCORRECT 1. Rural areas vary significantly, affecting college attendance rates.
INCORRECT 3. College attendance rates in urban areas are already well documented and differ greatly from rural rates.
INCORRECT 2. Specific rural areas are known to have higher college attendance rates.
CORRECT. There's no prior information suggesting variability among different rural areas.
When examining a dotplot of repeated samples' proportions, which pattern would best imply that these samples were likely drawn from a distribution with high variability?
There are two equally populated clusters on either side of the mean.
The dots are tightly clustered around one central value.
The dots are widely spread out across various values.
Most of the dots follow an ascending linear pattern on the plot.
When assessing whether or not a binomial setting applies in order to use a normal approximation for a sampling distribution of a sample proportion, which factor is least important?
The fixed number of independent trials in an experiment.
The specific value order sequence of successes and failures in trials.
Only two possible outcomes for each trial (success or failure).
The probability of success being constant for each trial.