Reference no: EM132853140

Sabrina randomly selects 300 residential addresses from Blueberry Park for a study on the effects of relief payments on the spread of COVID19. She screens the households that respond and removes any that have had COVID19 cases so far, leaving 212 households to work with. She randomly selects 106 of these households to receive a relief payment of $800 and then follows up with all 212 households one month later. Of the households that received a relief payment, 15 have had COVID infections. Of the households that did NOT receive a relief payment, 47 have had COVID infections.

a. What type of sampling has Sabrina used? Is this an example of a designed experiment or an observational study?

b. Sabrina wants to know if relief payments could be an effective means of reducing the spread of COVID, what would be a suitable null hypothesis to test this claim with?

c. What would be an appropriate alternative hypothesis to test the claim from part c with?

d. In order to perform this hypothesis test, what conditions need to be met? State any that must be assumed.

e. Under the assumptions from part e and the hypotheses in parts c and d, compute the P-Value.

f. Interpret the P-Value you found in part f in words. If you are unable to compute the P-Value from part f, make one up.

g. Based on your P-Value from the previous parts of this question, should your null hypothesis be rejected? Use a significance level of 0.01.

h. State a conclusion summarizing your results