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75°F Cloudy 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, howeve practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 144 houses built in California in the twentieth century and an independent, random sample of 67 new houses built in Southern California. The sample of twentieth cent contained 71 houses with pools, and the sample of new houses contained 20 houses with pools. Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p₁ of all Southern California twentieth century houses t with pools is greater than the proportionh 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, consul formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :O 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.) 0 (d) Find the critical value at the 0.05 level of sianificance. (Round to three or more decimal places.). Explanation Check FULL HD 144Hz ‒‒ - O Search H x ローロ X O S Do OSO O © 2022 McGraw Hill LLC. All Rights Reserved. Tem

75°F Cloudy 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, howeve practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 144 houses built in California in the twentieth century and an independent, random sample of 67 new houses built in Southern California. The sample of twentieth cent contained 71 houses with pools, and the sample of new houses contained 20 houses with pools. Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p₁ of all Southern California twentieth century houses t with pools is greater than the proportionh 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, consul formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :O 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.) 0 (d) Find the critical value at the 0.05 level of sianificance. (Round to three or more decimal places.). Explanation Check FULL HD 144Hz ‒‒ - O Search H x ローロ X O S Do OSO O © 2022 McGraw Hill LLC. All Rights Reserved. Tem

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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75°F Cloudy > 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 144 houses built in Southern California in the twentieth century and an independent, random sample of 67 new houses built in Southern California. The sample of twentieth century houses contained 71 houses with pools, and the sample of new houses contained 20 houses with pools. Based on this survey, can we conclude, at the 0.05 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. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) Explanation FULL HD 144Hz Check O Search N e= 4 3 |x X a ロ=ロ OSO X S □ロ □<ロ H P X <Q 020 >O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Cente E W
Transcribed Image Text:75°F Cloudy > 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 144 houses built in Southern California in the twentieth century and an independent, random sample of 67 new houses built in Southern California. The sample of twentieth century houses contained 71 houses with pools, and the sample of new houses contained 20 houses with pools. Based on this survey, can we conclude, at the 0.05 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. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) Explanation FULL HD 144Hz Check O Search N e= 4 3 |x X a ロ=ロ OSO X S □ロ □<ロ H P X <Q 020 >O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Cente E W
||| Hypothesis test for the difference of population proportions Carry y termediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) 75°F Cloudy (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho 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 0.05 level of significance. (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 O No ID D 144Hz Explanation Check O Search C O Н |x X 09 □□ O X S 0=0 OSO 00 0<0 Ś Р 3 >0 2/5 W 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy
Transcribed Image Text:||| Hypothesis test for the difference of population proportions Carry y termediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) 75°F Cloudy (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho 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 0.05 level of significance. (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 O No ID D 144Hz Explanation Check O Search C O Н |x X 09 □□ O X S 0=0 OSO 00 0<0 Ś Р 3 >0 2/5 W 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy
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