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# Conducting a Hypothesis Test Using Proportions - PowerPoint PPT Presentation

Conducting a Hypothesis Test Using Proportions. Note: a proportion is the same as the percentage of the population. Formula for the z test for proportions:. ( X – µ ). ( X – np ). z =. or. σ. √ npq. Where:. µ =. np. σ =. √ (npq). q =. 1 – p. Steps for Hypothesis Test.

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Conducting a Hypothesis Test Using Proportions

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#### Presentation Transcript

Conducting a Hypothesis Test

Using Proportions

Note: a proportion is the same as the percentage of the population

Formula for the z test

for proportions:

( X – µ )

( X – np )

z =

or

σ

√npq

Where:

µ =

np

σ =

√(npq)

q =

1 – p

Steps for Hypothesis Test

State the null and alternative hypotheses (using p)

1)

2)

Find the mean and standard deviation

3)

Find the critical value(s) using z-table

4)

Compute the test value

(Round to 2 decimals)

5)

Make the decision to either “reject the null” or “not reject the null”