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# Finding test statistics and critical values for one proportion z

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1.
A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the value of the test statistic, z =

A drug company claims that over 90% of all physicians recommend their drug. 1200 physicians were asked if they recommend the drug to their patients. 46% said yes. H0: p = 0.9.

-50.80
-66.049
-45.726
-101.614

2.
Determine the standardized test statistic, z, to test the claim about the population proportion p < 0.850 given n=60 and ^P= 0.656 use α = 0.05
-1.96
-4.21
-1.76
-1.85

3.
Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.
x = 7, n = 81, H0: p = 0.08, Ha: p ≠ 0.08, α = 0.10
z = -0.41; critical values = ±1.28; do not reject H0
z = 0.21; critical values = ±1.645; do not reject H0
z = 0.21; critical values = ±1.28; do not reject H0
z = 1.87; critical values = ±1.645; reject H0
4. A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the value of the test statistic, z =

Out of 187 observations, 57% were successes. H0: p = 0.55.

1.723
0.550
1.291
0.001

5.
Determine the critical value, z0, to test the claim about the population proportion p ≠ 0.325 given n=42 and ^p= 0.247 use α = 0.05
±2.575
±2.33
±1.645
±1.96

Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.

x = 29, n = 167, H0: p = 0.11, Ha: p ≠ 0.11, α = 0.05

z = 1.36.; critical values = ±1.645; do not reject H0
z = 1.36; critical values = ±1.96; do not reject H0
z = 2.63.; critical values = ±1.645; reject H0
z = 2.63.; critical values = ±1.96; reject H0

https://brainmass.com/statistics/type-i-and-type-ii-errors/finding-test-statistics-critical-values-one-proportion-613749

#### Solution Preview

1.
A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the value of the test statistic, z =

A drug company claims that over 90% of all physicians recommend their drug. 1200 physicians were asked if they recommend the drug to their patients. 46% said yes. H0: p = 0.9.

-50.80
-66.049
-45.726
-101.614
Just plug in with p0=0.9, p=0.46 and n=1200, we get z=-50.80

2.
Determine the standardized test statistic, z, to test the claim about the population proportion p < 0.850 given n=60 ...

#### Solution Summary

The solution gives detailed steps on solving 6 questions for finding test statistics and critical values for one proportion z test.

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