30 Finding a Job through Networking In a survey of 703 rando

30.

Finding a Job through Networking In a survey of 703 randomly selected workers, 61% got their jobs through networking (based on data from Taylor Nelson Sofres Research). Use the sample data with a 0.05 significance level to test the claim that most (more than 50%) workers get their jobs through networking. What does the result suggest about the strategy for finding a job after graduation?

32.

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.5
Ha:   p   >   0.5
As we see, the hypothesized po =   0.5      
As it is given,          
          
po =    0.5      
          
Getting the standard error of po, spo,          
          
spo = sqrt[po (1 - po) / n] =    0.018857857      
          
Getting the z statistic,          
p^ =    0.61      
z = (p^ - po)/spo =    5.833112377      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    2.72015*10^-09      
significance level =    0.05      

Comparing p and the significance value, we REJECT THE NULL HYPOTHESIS.      

Thus, there is significant evidence that most (more than 50%) workers get their jobs through networking.

This suggests that networking is a major factor in seeking employment.