Question

A pew research center poll of 1060 teens aged 13 to 17 showed that 57% of them made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online

          A pew research center poll of 1060 teens aged 13 to 17 showed that 57% of them made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online
        

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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 pew research center poll of 1060 teens aged 13 to 17 showed that 57% of them made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online
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Transcript

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00:01 So in this question, indeed, what we want to test is if the proportion is equal to 0 .5, which means that half of the teams have made new friends online, or if it is not half of all teams there have made new friends online.
00:19 So we are always with the opposite hypothesis.
00:23 So this one here is the null hypothesis and the other one the alternative.
00:28 Then the test statistic here is given by the proportion that they found in the sample, which is related to the 57%, but we write this as a proportion.
00:38 Then we'll subtract this value that we have in the hypothesis and we divide this by the square root of the value that we have in the hypothesis times 1 minus the same value divided by the sample size they collected, which is 1000.
00:52 So this will give us 443 if you're only considering two decimal places.
00:58 And now to find the p -value, because we have this different sign, this means that the type of test that we have is a two -tailed test...
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