question 4

4. 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 Copyright 2021 Department of Statistics and Data Sciences. All rights reserved. current allergies. Use a chi-square critical value of 5.991. He found the following results: (10 points) Number of Do_s or Cats in Childhood Home Total 61 42 27 130 What are the null and alternate hypothesis for this test? (1 pt) Calculate the table of expected counts. (2 pts) Calculate the chi-square statistic. Show your work for all steps of the calculation. (3 pts) Write an appropriate conclusion to the researchers' question. (2 pts) 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. (2 pts) allergy resistance. (2 pts) Allergy Symptoms by Number of Pets 100% 90% 24% 33% 80% 70% 54% 60% Percentage of Allergies 50% Allergies 40% 76% 67% 30% No Allergies 20% 46% 10% 0% 0 1 2 or more Number of Pets in Childhood Home