A researcher would like to test the claim that the proportion of middle-aged smokers with a lung capacity under 3 liters is less than the proportion of senior citizen nonsmokers with a lung capacity under 3 liters. A random sample of 46 middle-aged smokers had 32 with lung capacities under 3 liters, and a random sample of 46 senior citizen nonsmokers had 25 with lung capacities under 3 liters. These two independent samples will be used in a hypothesis test of this claim. Which test statistic formula should be used for this test?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A researcher would like to test the claim that the proportion of middle-aged smokers with a lung capacity
under 3 liters is less than the proportion of senior citizen nonsmokers with a lung capacity under 3 liters. A
random sample of 46 middle-aged smokers had 32 with lung capacities under 3 liters, and a random sample
of 46 senior citizen nonsmokers had 25 with lung capacities under 3 liters. These two independent samples
will be used in a hypothesis test of this claim. Which test statistic formula should be used for this test?
(1-₂)-(1-12)
DII
Ot=
Ot=
Oz=
F3
Oz=
F
+
VT 722
4
d-d
8d
√n
(P1-P₂)
Submit Question
O None of the above
pq
pq
Vm + m
(1₂) - (1-12)
of
V + 72₂
%
5
T
(P1-P2)
G
A
B
FS
6
H
F6
N
&
7
U
J
PrtScn
8
FB
K
Home
9
F9
End
0
F10
P
Transcribed Image Text:A researcher would like to test the claim that the proportion of middle-aged smokers with a lung capacity under 3 liters is less than the proportion of senior citizen nonsmokers with a lung capacity under 3 liters. A random sample of 46 middle-aged smokers had 32 with lung capacities under 3 liters, and a random sample of 46 senior citizen nonsmokers had 25 with lung capacities under 3 liters. These two independent samples will be used in a hypothesis test of this claim. Which test statistic formula should be used for this test? (1-₂)-(1-12) DII Ot= Ot= Oz= F3 Oz= F + VT 722 4 d-d 8d √n (P1-P₂) Submit Question O None of the above pq pq Vm + m (1₂) - (1-12) of V + 72₂ % 5 T (P1-P2) G A B FS 6 H F6 N & 7 U J PrtScn 8 FB K Home 9 F9 End 0 F10 P
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