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STAT 151 Module 5 With Complete Solutions Latest Update
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Solution 2024/2025Pepper
STAT 151: Module 5 With Complete Solutions
Latest Update
What are the two types of of parameter estimation?
point estimates and confidence intervals
When we collect sample data and calculate the sample statistic, we get a
single value that estimates the parameter of interest. This is the ___________
__________ of the ____________ __________. This is a point estimate.
sample proportion; sample mean
The value of a sample statistic varies from sample to sample, so we need to
account for sampling variability using the sampling distribution. This allows
us to account for _________.
error
A _____________ __________ is an interval of possible values for the parameter
of interest constructed with a certain amount of statistical confidence
confidence interval
To apply the Central Limit Theorem, n*p must be greater than _____ and n(1-
p) must also be greater than _____.
10
When we estimate the standard deviation of the sampling distribution using
the sample data, the estimate is called the _____________ __________
standard error
To be 95% (or 99% or whatever) confident really means that if we were to
repeatedly sample from the population and from each sample construct a
confidence interval, we would expect 95% of the intervals constructed
would contain the _________ ______________ ____________.
true population proportion
, Solution 2024/2025
Pepper
To have a higher confidence percentage, we need to have a larger
___________ of ____________ (critical value*standard error), this means a
__________ interval.
margin of error; wider
A wider interval means that our interval estimate has ______ precision.
less
The balance of certainty and precision in the margin of error is controlled by
the __________ __________ and the ____________ ____________
critical value; standard error
The ____________ __________ controls the levels of confidence for an interval.
Is is the number of sampling distribution deviations from the point estimate.
critical value
What assumptions must be made for confidence intervals of a population
proportion?
randomization, independence, the 10% assumption, and the sample size
rule for the CLT
The 10% assumption states that the sampling size, n, must be no
______________ than 10% of the population
larger
Statements that are a proposed explanation made on the basis of limited
evidence as a starting point for further investigation are called ____________
hypotheses
The null and alternative hypotheses are always _____________ ______________
mutually exclusive
The ______________ hypothesis is the claim or statement you are trying to
prove and the _______________ hypothesis is the logical complement (the
opposite). We try to prove the alternative hypothesis by disproving the null
hypothesis using the sample data.
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