African swine fever virus is a disease of wild boars that is spread in part by contact between living pigs and the carcasses of dead pigs. As part of an investigation into the patterns of contact between living and dead pigs, researchers placed cameras near pig carcasses in the woods. The number of nights during which various numbers of groups of pigs visited are given in the following table: Number of wild Frequency of pig groups nights 0 500 1 323 2 104 3 25 4 8 5 1 The researchers hypothesized that living pigs may be attracted to (and perhaps feed on) the pig carcasses, which would explain the high observed rate of viral transmittance. Conduct a statistical test to test researchers' scientific hypothesis. State: a) Null and alternate hypotheses. (1 mark) b) The test statistic, its value, and your calculations in obtaining that value. (5 marks) c) The associated P-value. (1 mark). d) Your conclusion with respect to your statistical hypotheses. (1 mark) e) Your conclusion with respect to the scientific hypothesis. (1 mark) For this question use a hand calculator and show your calculations.