Answer:
The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is , in which n is the size of the sample.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
67% of internet users said the internet has generally strengthened their relationship with family and friends.
This means that
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is , in which n is the size of the sample.