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, thatpractice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 138 houses built in SouthernCalifornia in the twentieth century and an independent, random sample of 84 new houses built in Southern California. The sample of twentieth century housescontained 47 houses with pools, and the sample of new houses contained 27 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion P, of all Southern California twentieth century houses that were builtwith 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 offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H1.H, :0H :0(b) Determine the type of test statistic to use.(Choose one)D=0OSOO20(c) Find the value of the test statistic. (Round to three or more decimal places.)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, thatpractice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 138 houses built in SouthernCalifornia in the twentieth century and an independent, random sample of 84 new houses built in Southern California. The sample of twentieth century housescontained 47 houses with pools, and the sample of new houses contained 27 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p, of all Southern California twentieth century houses that were builtwith 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 offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0H, :0믐(b) Determine the type of test statistic to use.Choose one)O=0OSO(c) Fttest statistic. (Round to three or more decimal places.)O

Solution: Given information: n1= 138n2= 84x1=…

Answered: In the twentieth century, it was a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.
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A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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