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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

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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
    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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