Answer:
Confidence Interval for the proportion of all teenagers who want more family discussions about school is ( 31.6% , 42.4% )
Step-by-step explanation:
Given:
Number of teenagers in the sample , n = 531
Percentage of people like more discussion about family's financial situation = 46%
Percentage of people like more discussion about school, = 37%
Percentage of people like more discussion about religion = 30%
To find: Confidence Interval for the proportion of all teenagers who want more family discussions about school
Level of confidence, α = 100 - 99 = 1% = 0.01
We know that
Critical Value for given level of significance, = 2.58
The Standard Deviation,
The Required Confidence Interval is,
Hence the Require confidence interval is ( 0.316 , 0.424 ).
Therefore, Confidence Interval for the proportion of all teenagers who want more family discussions about school is ( 31.6% , 42.4% )