In the 20th century it was a common practice in south southern California for houses to be built with pools in the backyard for new homes however that practice may be changing possibly a measure to help climate change a recent study examined a random sample of 125 houses built in Southern California in the 20th century and an independent random sample of 71 new homes built in Southern California The sample of 20th century homes contained 53 houses with pools and a sample of new homes contained 25 houses with pools based on the survey can we conclude at the 0.10 level of significance that the population the proportion P-1 of all southern California 20th 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 A state the no hypothesis and state the alternative hypothesis B. determine the type of test statistic used C. find the value of the test statistic D find the P value rounded to three or more decimal places i E. can we conclude that the the proportion of southern California 20th century houses built with pools is greater than a proportion for new homes yes or no