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 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 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 p, 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 H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロロ 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 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 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 p, 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 H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロロ O
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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 171 houses built in Southern
California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses
contained 76 houses with pools, and the sample of new houses contained 30 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 p, 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 H,.
H :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
|(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the p-value. (Round to three or more decimal places.)
olo 2
Transcribed Image Text: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 H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the proportion of Southern California twentieth century
houses built with pools is greater than the proportion for new homes?
O Yes
No
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