Recent reports suggest that children who grow up with pets in the home tend to develop resistance to allergies. To test this phenomenon a researcher, interview a random sample of college students. Each student was asked about pets during childhood and about his or her current allergies. Use a chi-square critical value of 5.991. He found the following results: {7 points) Number of Dogs or Cats in Childhood Home _ -_-mm NoAllergles "II-'5- Allergies _n'_ -_\"\"-E_ What are the null and alternate hypothesis for this test? Calculate the table of expected counts. Calculate the chi-square statistic. Show your work for all steps of the calculation. Write an appropriate conclusion to the researchers' question. Given the column chart of the observed data below, explain if the trend in the charts gives evidence for or against the researcher's hypothesis that children from homes with pets develop allergy resistance. Allergy Symptoms by Number of Pets 103% 90% 80% 70% 60% 50% 40% 30% 20% 10% U1 .9 on L 2 Z \"'5 m . an m I Allergies 'E a.- I No Allergles E 0 &