2. The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS. (a) Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll

The 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll is (0.6313, 0.6887).

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 zscore that has a pvalue of .

For this problem, we have that:

Of these 1048 teenagers, 692 had a television in their room. This means that

95% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll is (0.6313, 0.6887).

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step-by-step explanation:

the answer is d. 75%