Testing_for_Proportions

# 57 are all greater than or equal to 10 assume that

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Unformatted text preview: Population Proportions Steps 1 and 2 1 2 Hypothesize: H0 : p1 = p2 and Ha : p1 < p2 Prepare: Use a = 0.05. z-statistic 937 x 0.43; 937 x 0.57; 932 x 0.43 and 932 x 0.57 are all greater than or equal to 10. Assume that the infants were randomly and independently selected. Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Diﬀerence in Two Population Proportions Step 3 - Compute to Compare ˆ Calculate the pooled sample proportion p ˆ p= 377 + 431 ≈ 0.43 937 + 932 Test statistics: zobserved = ˆ (ˆ1 − p2 ) − 0 p where SE = SE ˆ ˆ p (1 − p ) 1 1 + n1 n2 Use StatCrunch →z = −2.62, p − value = 0.004 Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Diﬀerence in Two Population Proportions Step 4 - Interpret p − value = 0.004 < 0.05 = α Reject H0 and conclude that there is statistically signiﬁcant evidence to conclude that a lower proportions of babies will die or suﬀer with this therapy than without this therapy. Hypothesis Testing for Population Proportions Hypothesis Testing for Population Proportions Steps in Conducting a Hypothesis Test Hypothesis Test for a Single Population Proportion Hypothesis Test for Diﬀerence in Two Population Proportions Review the Learning Goals Know how to test hypotheses comparing the diﬀerence in two population proportions Understand the meaning of p-value and how it is used. Understand the meaning of signiﬁcance level and how it is used. Know the conditions required for calculating a p-value and signiﬁcance level. Hypothesis Testing for Population Proportions...
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## This test prep was uploaded on 03/12/2014 for the course STATS 10 taught by Professor Ioudina during the Spring '08 term at UCLA.

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