Question

1. Describe how you would apply the five basic steps in a statistical study to the following research question: determine the percentage of drivers who text while they are driving.

Answer 1

Lets suppose percentage of drivers who text while they are driving = 0.6

And when we performed sampling on 2000 persons we found suppose percentage of drivers who text while they are driving = 0.5

• Specify the Null Hypothesis.
• Specify the Alternative Hypothesis.
• Set the Significance Level (a)
• Calculate the Test Statistic and Corresponding P-Value.
• Drawing a Conclusion.

1)

Ho :   p =    0.6          

2)
H1 :   p ╪   0.6       (Two tail test)          
      

3)
Level of Significance,   α =    0.01          

4)
Number of Items of Interest,   x =   1000                  
Sample Size,   n =    2000                  
                          
Sample Proportion ,    p̂ = x/n =    0.5000                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0110                  
Z Test Statistic = ( p̂-p)/SE = (   0.5000   -   0.6   ) /   0.0110   =   -9.1287
  
                          
p-Value   =   6.93208E-20   [excel formula =2*NORMSDIST(z)]     

5)

Decision:   p-value<α , reject null hypothesis                       

THANKS

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