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Chapter 9 Notes (2)

# Chapter 9 Notes (2) - H53 P ¢ P0 Two-tail probability m...

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Unformatted text preview: H53 P ¢ P0 Two-tail probability m Step 5: The conclusion of a signiﬁcance test reports the P-value and interprets what it says about the question that motivated the test For example, we might decide that, we will reject H0 if the p—value S 0.05 (signiﬁcance level) > The signiﬁcance level is a number such that we reject H if the P-value is less than or equal to that number 0 > In practice. the most common signiﬁcance level is 0.05 > When we reject H we say the results are statistically signiﬁcant 0 "— Fail to reject Hu Step 1: m > The variable is categorical > The data are obtained using randomization > The sample size is sufﬁciently large that the sampling distribution of the sample proportion is approximately normal: i.e. at least 15 successes and 15 failures {np 2 15 and n(I-p) 2 15 } Step 2: m > The null hypothesis has the form: . I‘10:!) = ‘00 > The alternative hypothesis has the form: I H : p > p0 (one-sided test) or a 0 H : p < p0 (one-sided test) or I 0 H : p qt p0 (two-sided test) a Step 3: > The test statistic measures how far the sample proportion falls from the null hypothesis value, p0, relative to what we’d expect if H0 were true ...
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