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A survey indicated 132 of 150 in the 45-54 age group had a social networking account. For 55-64 year olds it was 60 out of 80. Question content area bottom Part 1 Construct a 95% confidence interval for the proportional difference having a social networking account between the two age groups. Consider the 45-54 age group population 1 and the 55-64 age group population 2. enter your response here < p1 - p2 <  enter your response here. (Round to three digits beyond the decimal as needed.) 

          A survey indicated 132 of 150 in the 45-54 age group had a social networking account. For 55-64 year olds it was 60 out of 80.
Question content area bottom
Part 1
Construct a 95% confidence interval for the proportional difference having a social networking account between the two age groups. Consider the 45-54 age group population 1 and the 55-64 age group population 2.
enter your response here < p1 - p2 <  enter your response here.
(Round to three digits beyond the decimal as needed.)
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A survey indicated 132 of 150 in the 45-54 age group had a social networking account. For 55-64 year olds it was 60 out of 80. Question content area bottom Part 1 Construct a 95% confidence interval for the proportional difference having a social networking account between the two age groups. Consider the 45-54 age group population 1 and the 55-64 age group population 2. enter your response here < p1 - p2 <  enter your response here. (Round to three digits beyond the decimal as needed.)
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Transcript

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00:01 We need to find two 90 % confidence intervals.
00:05 Now, we're going to be using this formula in black because the data that's been collected is categorical.
00:11 So for the people that use the internet regularly, the sample proportion is 1 ,787 out of 2 ,255, which equates to 0 .7925 as a decimal.
00:27 So that sample proportion is going to be the p -hat, all the p -hats in that formula.
00:33 So i'm going to fill those in here.
00:37 The z star, the critical value for 90 % confidence is 1 .645.
00:47 And our sample size is that 2 ,255.
00:55 So now that i've plugged all the numbers into the formula, i'm going to use my calculator and get the margin of error, the right side of the plus or minus sign.
01:05 And that comes out to be 0 .014.
01:10 And that's what we're going to add and subtract from 79 .25 to get us our interval.
01:19 So when we subtract that margin of error from the middle, going to three decimal places is 0 .779...
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