A criminal justice profesor wonders if there some type of relationship between weather and violent crime. He reads an article where a researcher classified 1374 violent crime according to season below: Season Winter Spring Summer Fall 326 331 382 335 Based on the sample data, is there evidence to support the theory that the violent crime rate is varies over the four seasons? Use a significance level of 0.05. State the null and alternative hypotheses. Let P1, P2, P3, and p4 be the proportions of homicides occurring in the four seasons. O Ho: P1 = P2 = P3 = P4 = 0.5 Ha: Ho is not true. At least one of the proportions is not equal to the hypothesized value. O Ho: P1 = P2 = P3 = P4 = 0.25 He: H is not true. None of the proportions are equal to the hypothesized value. O Ho: P1 = P2 = P3 = P4 = 0.5 Ha: Ho is not true. None of the proportions are equal to the hypothesized value. O Ho: P1 = P2 = P3 = P4 = 0.2 Ha: Ho is not true. At least one of the proportions is not equal to the hypothesized value. O Ho: P1 = P2 = P3 = P4 = 0.25 He: H is not true. At least one of the proportions is not equal to the hypothesized value. Calculate the test statistic. Show your work and round your answer to two decimal places. test statistic = What is the P-value for this test? (Round your answer to four decimal places.) P-value =