Confidence Statements

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what is the margin of error formula?

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1

what is the margin of error formula?

1/√n * 100

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2

what is the confidence interval?

p̂ ± M.E

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3

confidence statements are always about?

p as estimated from p̂

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4

why can we use the normal curve for calculating confidence intervals?

because SRS are normal samples that will distribute normally

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5

what is the formula for calculating margin of error for a confidence interval

p̂ ± z * √ p̂ (1-p̂)/n x 100 margin of error

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6

what is the critical z score for 95% (0.05) confidence?

1.96

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7

what is the critical z score for 99% (0.01) confidence?

2.58

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8

why does C.I increase when C.L increases?

if you want to be more certain (confident) that p is within the CI, the CL has to increase

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9

why does CI decrease when sample size increases?

because as sample size increases, all p̂s become more accurate (closer to p). the CI shrinks to reflect this

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10

what is the formula for ME of mean?

x̄ ± z * s/√ n margin of error

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