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 127 houses built in Southern California in the twentieth century and an independent, random sample of 87 new houses built in Southern California. The sample of twentieth century houses contained 52 houses with pools, and the sample of new houses contained 33 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 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 Submit Assignment Thi natermina the huna of taet etatietie to ea