uoens seceived in their area Aresearco leets the percentage

uoens seceived in their area Aresearco leets the percentage s lowet now A rardom mgse or 250 parents yasead a sanple praportion of 0.40. Test the researchers clan a th o Questions | Question 2 a lager saaly

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   >=   0.46
Ha:   p   <   0.46

As we see, the hypothesized po =   0.46      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.4      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.031521421      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    -1.903467469      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.028489787      

significance level =    0.05      

As P < 0.05, we REJECT THE NULL HYPOTHESIS.      

Thus, there is significant evidence that the proportion of parents satisfied with the quality of education students received is lower now. [CONCLUSION]