ou wish to test the following at a significance level of α=0.05α=0.05.       H0:p=0.19H0:p=0.19       H1:p<0.19H1:p<0.19 You obtain a sample of size n=596n=596 in which there are 103 successful observations. For this test, we use the normal distribution as an approximation for the binomial distribution. For this sample... The test statistic (zz) for the data =  (Please show your answer to three decimal places.) The p-value for the sample =  (Please show your answer to four decimal places.) The p-value is... greater than αα less than (or equal to) αα (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly) Base on this, we should .... fail to reject the null hypothesis reject the null hypothesis accept the null hypothesis As such, the final conclusion is that... The sample data suggest that the population proportion is not significantly less than 0.19 at the significant level of αα = 0.05 The sample data suggest that the population proportion is significantly less than 0.19 at the significant level of αα = 0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to test the following at a significance level of α=0.05α=0.05.

      H0:p=0.19H0:p=0.19
      H1:p<0.19H1:p<0.19

You obtain a sample of size n=596n=596 in which there are 103 successful observations.

For this test, we use the normal distribution as an approximation for the binomial distribution.

For this sample...

  1. The test statistic (zz) for the data =  (Please show your answer to three decimal places.)
  2. The p-value for the sample =  (Please show your answer to four decimal places.)
  3. The p-value is...
    • greater than αα
    • less than (or equal to) αα
  4. (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)
    Base on this, we should ....
    • fail to reject the null hypothesis
    • reject the null hypothesis
    • accept the null hypothesis
  5. As such, the final conclusion is that...
    • The sample data suggest that the population proportion is not significantly less than 0.19 at the significant level of αα = 0.05
    • The sample data suggest that the population proportion is significantly less than 0.19 at the significant level of αα = 0.05.
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