Answer:
The interval is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The population proportion is 
The confidence level is C = 98%
The level of significance is mathematically evaluated as
%

Here this level of significance represented the left and the right tail
The degree of freedom is evaluated as

substituting value


Since we require the critical value of one tail in order to evaluate the 98% confidence interval that estimates the proportion of them that are involved in an after school activity. we will divide the level of significance by 2
The critical value of
and the evaluated degree of freedom is

this is obtained from the critical value table
The standard error is mathematically evaluated as
substituting value
The 98% confidence interval is evaluated as

substituting value

