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