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S10.4 - Hypothesis Tests for a Population Proportion
Hypothesis Tests for a Population Proportion
12
Mathematics
Graduate
11/10/2013

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Term
Best point estimate of p is phat =
Definition
x/n
Term
Test statistic, population proportion z0 =
Definition
(phat-p0)/[p0(1-p0)/n]^0.5
where p0 = value of the population proportion stated in null
Term
3 assumptions for testing hypotheses for a population proportion p
Definition
1. The sample is obtained by simple random sampling
2. np0(1-p0)>=10
3. The sampled values are independent
Term
Two-tailed test, population proportion
H0:
H1:
Definition
H0: p=p0
H1: p not=to p0
Term
Left-tailed test, population proportion
H0:
H1:
Definition
H0: p=p0 H1: p
Term
Right-tailed test, population proportion
H0:
H1:
Definition
H0: p=p0
H1: p>p0
Term
Two-tailed test, classical approach
If z0 > z(alpha/2), then
Definition
Reject the null
Term
Left-tailed test, classical approach
If z0 < -zalpha, then
Definition
Reject the null
Term
Right-tailed test, classical approach
If z0 > zalpha, then
Definition
Reject the null
Term
If p-value < alpha then
Definition
Reject the null
Term
If p-value > alpha then
Definition
Fail to reject null
Term
For the sampling distribution of phat to be approximately normal, we require np(1-p) to be
Definition
At least 10
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