Explain: what is the test statistic used for constructing confidence interval on a proportion.

UkusakazaL

UkusakazaL

Answered question

2021-08-08

Explain what is the test statistic used for constructing confidence interval on a proportion.

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
The formula for 100(1α)% confidence interval for population proportion is,
CI=p±ME
=p±zα2p(1p)n
Here,
p: the sample proportion
ME: Margin of Error
n: sample size.
zα2: critical value.
(1α): Confidence level
Step 2
Hence, z test statistic is used for constructing confidence interval on a proportion.
For testing population proportion, the test statistic is defined as
ztest=ppp(1p)n
Here,
p^: sample proportion
p: population proportion
n: sample size

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