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Earlier in the course, we discussed sampling distributions. Particular distributions are associated with hypothesis testing. Perform tests of a population mean using a normal distribution or a student's-t distribution. (Remember, use a student's-t distribution when the population standard deviation is unknown and the distribution of the sample mean is approximately normal.) In this chapter we perform tests of a population proportion using a normal distribution (usually n is large or the sample size is large).

If you are testing a single population mean , the distribution for the test is for means :

X ~ N ( μ X , σ X n ) or t df

The population parameter is μ . The estimated value (point estimate) for μ is x , the sample mean.

If you are testing a single population proportion , the distribution for the test is for proportions or percentages:

p ̂ ~ N ( p , p q n )

The population parameter is p . The estimated value (point estimate) for p is p ̂ . p ̂ = x n where x is the number of successes and n is the sample size.

Practice Key Terms 3

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Source:  OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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