View History Bookmarks Window Help 92 Thu 858 PM webwork2un

View History Bookmarks Window Help :) 92%) Thu 8:58 PM webwork2.uncc.edu KMAA MATHEMATICAL ASSCIATION OF AMERICA Logged in as svanhor4. MATHEMATICAL ASSOCIATION OF AMERICA

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.51
Ha:   p   >   0.51

As we see, the hypothesized po =   0.51      

Getting the point estimate of p, p^,          
          
p^ = x / n =    0.54      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.017351782      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    1.728929055      
          
As this is a    right   tailed test, then, getting the p value,  
          
p =    0.041910897   [ANSWER]