In a survey of 220 males ages 20 to 24, 41% were neither in school nor working. In a survey of 230 females ages 20 to 24, 45% were neither in school nor working. These samples are random and independent. At a = 0.10, can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor working? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H₂. the proportion of The claim is "the proportion of males ages 20 to 24 who were neither in school nor working is females ages 20 to 24 who were neither in school nor working." Let p₁ and P2 be the two population proportions for males and females, respectively. State Ho and Ha Choose the correct answer below. OA. Ho: P1 P2 OB. Ho P1 SP2 O C. Ho: P₁ P2 H₂: P₁ = P2 Ha: P₁2P2 Ha: P1 P2 O D. Ho: P1 P2 E. Ho: P₁ P2 P OF. Ho: P1 P2 H₂: P₁ Ha: P1 P2 Ha: P₁ P2 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is (are). (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a survey of 220 males ages 20 to 24, 41% were neither in school nor working. In a survey of 230 females ages 20 to 24, 45%
were neither in school nor working. These samples are random and independent. At a = 0.10, can you support the claim that the
d proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who
were neither in school nor working? Complete parts (a) through (e) below.
th
(a) Identify the claim and state Ho and Ha
d
the proportion of
The claim is "the proportion of males ages 20 to 24 who were neither in school nor working is
females ages 20 to 24 who were neither in school nor working."
Co
Th.
Let p₁ and p₂ be the two population proportions for males and females, respectively. State Ho and H₂.
Choose the correct answer below.
29/
OA. Ho: P1 P2
OB. HP1 SP2
Ha: P1 P2
OC. Ho: P₁ P2
Ha: P1 = P2
Ha: P₁
P2
O D. Ho: P1 P2
O E. Ho: P₁ P2
OF. Ho: P1 = P2
D
Ha: P₁ P2
Ha: P1 P2
Ha: P1
P2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is (are).
e Lo
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
a.
sai
nd
- W.
nue.
Transcribed Image Text:In a survey of 220 males ages 20 to 24, 41% were neither in school nor working. In a survey of 230 females ages 20 to 24, 45% were neither in school nor working. These samples are random and independent. At a = 0.10, can you support the claim that the d proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor working? Complete parts (a) through (e) below. th (a) Identify the claim and state Ho and Ha d the proportion of The claim is "the proportion of males ages 20 to 24 who were neither in school nor working is females ages 20 to 24 who were neither in school nor working." Co Th. Let p₁ and p₂ be the two population proportions for males and females, respectively. State Ho and H₂. Choose the correct answer below. 29/ OA. Ho: P1 P2 OB. HP1 SP2 Ha: P1 P2 OC. Ho: P₁ P2 Ha: P1 = P2 Ha: P₁ P2 O D. Ho: P1 P2 O E. Ho: P₁ P2 OF. Ho: P1 = P2 D Ha: P₁ P2 Ha: P1 P2 Ha: P1 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is (are). e Lo (Use a comma to separate answers as needed. Round to two decimal places as needed.) a. sai nd - W. nue.
ed-
In a survey of 220 males ages 20 to 24, 41% were neither in school nor working. In a survey of 230 females ages 20 to 24, 45%
were neither in school nor working. These samples are random and independent. At α = 0.10, can you support the claim that the
proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 wh
were neither in school nor working? Complete parts (a) through (e) below.
ead
ith
...
у a.
(c) Find the standardized test statistic.
nd
Z= (Round to two decimal places as needed.)
Co
(d) Decide whether to reject or fail to reject the null hypothesis.
Choose the correct answer below.
Th.
Fail to reject Ho
29/
Reject Ho-
osai
(e) Interpret the decision in the context of the original claim.
And
Choose the correct answer below.
- W.
O A. At the 10% significance level, there is sufficient evidence to reject the claim.
nue.
B. At the 10% significance level, there is insufficient evidence to support the claim.
OC. At the 10% significance level, there is insufficient evidence to reject the claim.
O D. At the 10% significance level, there is sufficient evidence to support the claim.
re Lo
Transcribed Image Text:ed- In a survey of 220 males ages 20 to 24, 41% were neither in school nor working. In a survey of 230 females ages 20 to 24, 45% were neither in school nor working. These samples are random and independent. At α = 0.10, can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 wh were neither in school nor working? Complete parts (a) through (e) below. ead ith ... у a. (c) Find the standardized test statistic. nd Z= (Round to two decimal places as needed.) Co (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Th. Fail to reject Ho 29/ Reject Ho- osai (e) Interpret the decision in the context of the original claim. And Choose the correct answer below. - W. O A. At the 10% significance level, there is sufficient evidence to reject the claim. nue. B. At the 10% significance level, there is insufficient evidence to support the claim. OC. At the 10% significance level, there is insufficient evidence to reject the claim. O D. At the 10% significance level, there is sufficient evidence to support the claim. re Lo
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