2. Sample (a) had 125 (n=250) respondents report a small neighborhood. Sample (f) had 65 (n=100) of respondents report a

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2 Sample A Had 125 N 250 Respondents Report A Small Neighborhood Sample F Had 65 N 100 Of Respondents Report A 1 (118.85 KiB) Viewed 91 times

2. Sample (a) had 125 (n=250) respondents report a small neighborhood. Sample (f) had 65 (n=100) of respondents report a small neighborhood. This question involves evaluating your hypotheses from above with a hypothesis test. Unlike confidence intervals we need a pooled proportion to calculate the standard error. Response Adults (a) Adults by Freeway (f) Small neighborhood 125 65 Total sample size (n) 250 100 Proportion reporting small .5 .65 a. Calculate the pooled proportion for these samples. Note that a success is the number of people selecting a small neighborhood. # of successa + # of successf na + nf Ppool = SEpa-PF na C. b. Use the pooled proportion to calculate the standard error for our (2) test statistic. @pool(1 – Ppool) ºpool(1 – Ôpool) + nf Calculate the test statistic for the difference between these 2 proportions. (pa-) Z= @pool(1 – Ôpool) Ppool(1 – Ppool) + па ng d. What p-value is associated with this Z score? Evaluate the null and alternative hypotheses based on the P-value e.