Question

​Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 675 randomly selected adults showed that 49.5​%

of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly​ high, then state a conclusion about the original claim.

These results are ___ significantly ___ so there ___sufficient enough evidence to support the claim that most adults would not erase all of their personal information online if they could

Answer 1

Ho :   p =    0.5                  
H1 :   p >   0.5       (Right tail test)          
                          

Number of Items of Interest,   x =   340.875                  
Sample Size,   n =    675                  
                          
Sample Proportion ,    p̂ = x/n =    0.5050                  
                          
Standard Error ,    SE = √( p(1-p)/n ) =    0.01925                  
Z Test Statistic = ( p̂-p)/SE = (   0.5050   -   0.5   ) /   0.0192   =   0.2598
                          

                          
p-Value   =   0.3975   [Excel function =NORMSDIST(-z)              
Decision:   p value>α ,do not reject null hypothesis

                      

These results are __not _ significantly __high_ so there __is not _sufficient enough evidence to support the claim that most adults would not erase all of their personal information online if they could