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# One sample Z test for proportion

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Consider the following hypothesis test:

H0: p = .20
Ha: p (does not equal) .20

A sample of 400 provided a sample proportion beta = 0.175.
a. Compute the value of the test statistic.
b. What is the p-value?
c. At alpha = 0.05, what is you conclusion?
d. What is the rejection rule using the critical value? What is your conclusion?

##### Solution Summary

This solution provides a step by step method for computing test statistic for proportion.

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Please see the attached file for solution.

a. The test Statistic used is = -1.25

Z Test of Hypothesis for the Proportion

Data
Null Hypothesis p = 0.2000
Level of Significance 0.05
Number of Items of ...

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