In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 158 houses built in Southern California in the twentieth century and an independent, random sample of 83 new houses built in Southern California. The sample of twentieth century houses contained 82 houses with pools, and the sample of new houses contained 27 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion P, of all Southern California twentieth century houses that were built with pools is greater than the proportion P₂ of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁:0 (b) Determine the type of test statistic to use. Z (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 001 level of cinnificance (Dound to three or more dorimal nlaroc 1 Explanation Y Check M 1 |x 4 a S x 00 ロメロ OD Ⓒ2022 McGraw Hill LLC All Rights Reserved. Terms of Use Privacy Center Accessi

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with po greater than the proportion P₂ of all new Southern California houses that were built with pools?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H₁.
H₁ :O
H₁ :0
(b) Determine the type of test statistic to use.
Z
▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
0
(e) Can we conclude that the proportion of Southern California twentieth century houses built with
pools is greater than the proportion for new homes?
Yes No
Explanation
Check
A
|x
X
4
a
X
S
00 0<0
0=0 OSO 020
S
Р
S
<Q
>O
Ⓒ2022 McGraw Hill LLC. All Rights Reserved.
Terms of Use Privacy Center Accessibility
Esp
K
Aug
Transcribed Image Text:with po greater than the proportion P₂ of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. H₁ :O H₁ :0 (b) Determine the type of test statistic to use. Z ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of Southern California twentieth century houses built with pools is greater than the proportion for new homes? Yes No Explanation Check A |x X 4 a X S 00 0<0 0=0 OSO 020 S Р S <Q >O Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility Esp K Aug
O
In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that
practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 158 houses built in Southern
California in the twentieth century and an independent, random sample of 83 new houses built in Southern California. The sample of twentieth century houses
contained 82 houses with pools, and the sample of new houses contained 27 houses with pools.
Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all Southern California twentieth century houses that were built
with pools is greater than the proportion P₂ of all new Southern California houses that were built with pools?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H:0
H₁ :0
(b) Determine the type of test statistic to use.
Z
(c) Find the value of the test statistic. (Round to three or more decimal places.)
Y
(d) Find the critical value at the 001 level of cinnificance (Dound to three or more dorimal nlaroc)
Explanation
Check
3
|x
X
5
0=0
O
X
S
Op
OSO
OOOO
Р
<Q
O
00
020
0>0
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility
AL
Transcribed Image Text:O In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 158 houses built in Southern California in the twentieth century and an independent, random sample of 83 new houses built in Southern California. The sample of twentieth century houses contained 82 houses with pools, and the sample of new houses contained 27 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all Southern California twentieth century houses that were built with pools is greater than the proportion P₂ of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. Z (c) Find the value of the test statistic. (Round to three or more decimal places.) Y (d) Find the critical value at the 001 level of cinnificance (Dound to three or more dorimal nlaroc) Explanation Check 3 |x X 5 0=0 O X S Op OSO OOOO Р <Q O 00 020 0>0 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility AL
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