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In the t eth 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, be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 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 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ 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 Ho and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) μ X O □ロ S On Р 0<0 ê 0=0 OSO 020 010 A >O

In the t eth 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, be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 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 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ 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 Ho and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) μ X O □ロ S On Р 0<0 ê 0=0 OSO 020 010 A >O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Ty In the t eth 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 be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 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 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ 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.) 77°F Partly sunny (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) Explanation Check OL μ X 0=0 X O S SO Р KP 020 S 0>0 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility E A
Transcribed Image Text:Ty In the t eth 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 be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 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 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ 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.) 77°F Partly sunny (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) Explanation Check OL μ X 0=0 X O S SO Р KP 020 S 0>0 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility E A
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