Session:9 Hypothesis Testing with One Sample

Formula Review

Introductory Business Statistics | Leadership Development – Micro-Learning Session

Rice University 2020 | Michael Laverty, Colorado State University Global Chris Littel, North Carolina State University| https://openstax.org/details/books/introductory-business-statistics

9.3 Distribution Needed for Hypothesis Testing

Sample size Test statistic
< 30
(σ unknown)
tc=X¯¯¯μ0s/n

=¯0/ 

< 30
(σ known)
Zc=X¯¯¯μ0σ/n

=¯0/ 

> 30
(σ unknown)
Zc=X¯¯¯μ0s/n

=¯0/ 

> 30
(σ known)
Zc=X¯¯¯μ0σ/n

=¯0/ 

Table 9.6 Test Statistics for Test of Means, Varying Sample Size, Population Known or Unknown

9.4 Full Hypothesis Test Examples

Test statistic for a hypothesis test of proportions:

Zc=pp0p0p0n

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