Are you here?. Yes, and I’m ready to learn Yes, and I need a nap No. HW - Problem 6. When a truck load of apples arrives at a packing plant, a random sample of 125 is selected and examined for bruises, discoloration, and other defects.
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Both of the sampling distributions we’ve looked at are Normal.
For a sample proportion, the standard error is
For the sample mean, the standard error is
By the 68-95-99.7% Rule, we know
about 68% of all samples will have ’s within 1 SE of p
about 95% of all samples will have ’s within 2 SEs of p
about 99.7% of all samples will have ’s within 3 SEs of p
When the conditions are met, we are ready to find the confidence interval for the population proportion, p.
The confidence interval is
The critical value, z*, depends on the particular confidence level, C, that you specify.
Suppose 54% of the respondents in survey #1 said the death penalty was fairly applied. Does this fall within a 95% confidence interval for survey #2?