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Unformatted text preview: Conducting a Hypothesis Test
Hypothesis Test for a Single Population Proportion
Hypothesis Test for Diﬀerence in Two Population Proportions Central Limit Theorem (CLT)
Theorem
Central Limit Theorem for sample proportion
If numerous samples of size n are taken, the frequency curve
ˆ
or histogram of the sample proportions p s will be
approximately bell shaped.
ˆ
The mean of those p s : µ (ˆ) = p
p
ˆ
The standard deviation of those p s : σ (ˆ) =
p
ˆ
The normal approximation of p is
ˆ
p ∼ Normal p, p (1−p )
n p (1 − p )
n Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test
Hypothesis Test for a Single Population Proportion
Hypothesis Test for Diﬀerence in Two Population Proportions Step 1: State the Hypotheses Twotailed
H0 : p = p0
H a : p = p0 Lefttailed
H0 : p = p0
H 0 : p < p0 Righttailed
H0 : p = p0
H0 : p > p0 Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test
Hypothesis Test for a Single Population Proportion
Hypothesis Test for Diﬀerence in Two Population Proportions Step 2: Prepare to Test 1 2 3 Set the Signiﬁcance Level: α = 0.05, or α = 0.01, or
α = 0.10.
Select a test statistics:
proportion
Check the sampling conditions Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test
Hypothesis Test for a Single Population Proportion
Hypothesis Test for Diﬀerence in Two Population Proportions The Sampling Conditions
1 2
3 4 5 Random Sample: the sample is collected randomly from
the population
Large enough sample size: n · po ≥ 10 and n · (1 − po ) ≥ 10
Without replacement: The population size is at lea...
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 Spring '08
 Ioudina

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