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