# STA 205 Lecture 4: Packet 4 - Hypothesis Test for P

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Packet 4: Hypothesis Test for the Population Proportion Textbook pages: 450 – 461; 516 – 523

After completing this material, you should be able to:

• conduct a test of hypothesis about p using the appropriate format.

• state when it is valid to use this procedure.

• define Type I and Type II errors in terms of the problem.

• discuss the consequences of these errors.

What is a hypothesis test?

Step 1: State the hypotheses to be tested.

Step 2: Set the significance level for the test.

Step 3: Calculate the test statistic and p-value based upon the sample collected.

Step 4: Make a decision and interpret the results.

Steps in a Hypothesis Test

Notation Alert!!

Null hypothesis:

Alternative hypothesis:

Significance level:

Formula Alert!!

This formula will be given on

the formula sheet.

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Hypothesis Test

Aconjecture about apopulation

parameter on data from asample

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Slept istale the hypotheses null

to be tested hypothesis

null hypothesis states the Ho

value of the population alternative

parameter that has been given hypothesis

alternative hypothesis the Ha

claim or conjecture about

the population parameter significance

for which we would like to level

find support Alalpha

step 2set the signifiance level

for the test

Significance level the cut off

point forwhen aprobability is

classified as small and unusual

common values 0.10 0.05 001

2in equation

decision rule reject Ho if probability 2A

step 3calculate the test statistic

and probability based upon

the sample collected

test slat'sti eakullhh