Question

claim: Most adults would erase all of their personal information online if they could .A software firm survey of 460 randomly selected adults showed that 65% of them would erase all of their personal information online if they could.Fine the value of the test statistic

Answer 1

Solution :

Ho :   p =    0.5                  
H1 :   p >   0.5     (Right tail test)          
                          
Level of Significance,   α = 0.05                  
Number of Items of Interest,   x = (460/100 * 65) = 299
Sample Size,   n = 460   
                          
Sample Proportion ,    p̂ = x/n = 0.65
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.022
Z Test Statistic = ( p̂-p)/SE = ( 0.65 - 0.5   ) / 0.022 = 6.8181

p value = 0.0000

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