Do the data provide significant evidence at 35 level that po

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   4.7  
Ha:    u   >   4.7  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical z, as alpha =    0.035   ,      
alpha =    0.035          
zcrit =    +   1.811910673      
              
Getting the test statistic, as              
              
X = sample mean =    4.98          
uo = hypothesized mean =    4.7          
n = sample size =    258          
s = standard deviation =    1.62          
              
Thus, z = (X - uo) * sqrt(n) / s =    2.776213551          
              
Also, the p value is              
              
p =    0.002749804          
              
As z > 1.8119 (or, P < 0.035), we REJECT HO.

Thus, there is significant evidence that the population mean response after attending the presentation is larger than 4.7. [CONCLUSION]