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formulas%20p2%20FINAL

# formulas%20p2%20FINAL - Population Proportion Two...

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Page 2 Population Proportion Two Population Proportions Population Mean Parameter p Parameter 2 1 p p Parameter μ Statistic p ˆ Statistic 2 1 ˆ ˆ p p Statistic x Standard Error n p p p ) ˆ 1 ( ˆ ) ˆ ( s.e. = Standard Error 2 2 2 1 1 1 2 1 ) ˆ 1 ( ˆ ) ˆ 1 ( ˆ ) ˆ ˆ ( s.e. n p p n p p p p + = Standard Error n s x = ) ( s.e. Confidence Interval ) ˆ ( s.e. ˆ * p z p ± Conservative Confidence Interval n z p 2 ˆ * ± Confidence Interval () ( ) 2 1 * 2 1 ˆ ˆ s.e. ˆ ˆ p p z p p ± Confidence Interval ) ( s.e. * x t x ± df = n – 1 Paired Confidence Interval ) ( s.e. * d t d ± df = n – 1 Large-Sample z -Test n p p p p z ) 1 ( ˆ 0 0 0 = Large-Sample z -Test + = 2 1 2 1 1 1 ) ˆ 1 ( ˆ ˆ ˆ n n p p p p z One-Sample t -Test n s x x x t 0 0 ) ( s.e. = = df = n – 1 Sample Size 2 * 2 = m z n where 2 1 2 2 1 1 ˆ ˆ ˆ n n p n p n p + + = Paired t -Test n s d d d t
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