A random sample of households in Orange lCounty showed that 15 out of 183 of them were burglarized in the past 5 years. And in a random sample of households in Cook County, 23 out of 1% of them were burglarized in that same time period. We will test the claim that the proportion of Orange County households that were burglarized {pl} is not equal to the proportion of Cook County households that were burglarized {p2}. For each part below. enter only a numeric value in the answer box. For example, do not type \"2 =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point. [a]: Calculate the value of :3, the pooled sample proportion, that is used in this hypothesis test. 33 = [b] Calculate the value of the test statistic used in this test. Test statistic's value = [c] Use your calculator to find the P-value of this test. P-value = [d] Use your calculator to find the critical value{s} used to test this claim at the 0.01 significance level. If there are two critical values, then list them both with a comma between them. Critical value{s} =