Answer:
Confidence interval is 
Step-by-step explanation:
Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,



So 320 fans favorite sport is basket ball.
Now find sample proportion ,

Substituting the value,


Formula for confidence interval is,

To calculate the z value.



Now divide above value by 2,


To find the value of z score calculate the area under the curve as follows




On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.
or find the value from excel by using command as follows,
=NORM.S.INV(0.025)= -1.959963985
Now substituting the value,


Lower end of the interval is,


Upper end of the interval is,


Therefore 95% confidence interval is 