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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.
zstatistic
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 pvalue and how it is used.
Understand the meaning of signiﬁcance level and how it is
used.
Know the conditions required for calculating a pvalue
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.
 Spring '08
 Ioudina

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