Set: Statistics chapter 20

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whats the 4 step process for testing hypotheses about proportions 1. Hypotheses; 1-tail or 2-tail | 2. Plan; what inference procedure is called for? | 3. Mechanics; write down the statistics; draw the curve; calculate the value; find the P-value | 4. Conclusion; link the P-value to the decison; reject or fail to reject
Null hypothesis we can never "accept the null hypothesis" because it's probably never true precisely; ex. is the probability of a coin toss to land on 'heads' exactly 50%? we either 'reject' or 'fail to reject' the null hypothesis
P-value the probability of observing a value for a test statistic at least as far from the hypothesized value as the statistic value actually observed if the null hypothesis is true. A small P-value indicates either that the observation is improbable or that the probability calculation was based on incorrect assumptions. the assumed truth of the null hypothesis is the assumption under suspicion
one-proportion z test z = (^p - p0) / SD(^p) || a test of the null hypothesis that the proportion of a single sample equals a specified value
alternative hypothesis the alternative hypothesis proposes what we should conclude if we find the null hypothesis to be unliekly
two-sided alternative an alternative hypothesis is two-sided ( Ha: p ≠ p0 ) when we are interested in deviations in either direction away from the hypothesized parameter value
one-sided alternative an alternative hypothesis is one-sided ( Ha: p > p0 or Ha: p < p0 ) when we are interested in deviations in only one direction away from the hypothesized parameter value

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Terms 7
Creator vince
Created March 6, 2008
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Testing hypotheses about proportions

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