Question

1. Perform the following hypothesis test of a proportion:

   H_O: p = 0.125

   H_A: p  0.125

   The sample proportion is 0.1 based on a sample size of 95. Use a 10% significance level.

   The critical values of the test statistic that divide the rejection and non-rejection regions are  what value?

5 points   

QUESTION 5

1. Continuing with Problem #4 (the previous problem):

   What is the value of the test statistic? (Give your answer rounded to 2 decimals) (Be careful to make sure your + or - sign is correct)

10 points   

QUESTION 6

1. What is the p-value for Problem #4?

Answer 1

4)

Level of Significance,   α =    0.10

critical z value =    ±    1.645   [excel formula =NORMSINV(α/2)]

............

5)

Sample Size,   n =    95                  
                          
Sample Proportion ,    p̂ = x/n =    0.1000                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0339                  
Z Test Statistic = ( p̂-p)/SE = (   0.1000   -   0.125   ) /   0.0339   =   -0.74

............

6)

p-Value   =   0.4613

..................

THANKS

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