Question

In a survey of 517 music teachers, 403 said that the video games Guitar Hero and Rock Band have a positive effect on music education. Construct a 98% confidence interval for the proportion of music teachers who believe that these video games have a positive effect. Write a sentence that interprets this interval.

Answer 1

We have given,              
              
x=403          
n=517          
Estimate for sample proportion=0.7795  
Level of significance is =1-0.98=0.02      
Z critical value(using Z table)=2.326      
              
Confidence interval formula is              


=(0.7371,0.8219)

We are 98% confident that population proportion of all music teachers who believe that these video games have a positive effect is between 0.7371 to 0.8219