Q2. [Total 15 points] The same student interviewed 200 vaccinated and 200 unvaccinated people in Chicago area to investigate whether they experienced a breakthrough Covid-19 infection. Out of those who were vaccinated, 25 experienced a breakthrough infection. While out of those who were unvaccinated, 40 experienced a breakthrough infection. Execute a hypothesis test to determine whether there is a relationship between the people's vaccination status (vaccinated or unvaccinated) and experiencing a breakthrough Covid-19 infection, at alpha = 0.05 USING CHI-SQUARE. To solve the problem, follow the steps below: a. [1 point] State your hypotheses below: Ha: Ha: b. [4 points] Fill in the relevant eight values in the following table (show your calculations): Actual Vaccinated Unvaccinated Total Row % Experiencing (i) (ii) (iii) .......... (iv) .......... the breakthrough infection M (viii) .......... experiencing the breakthrough infection c. [2 points] Fill in the relevant four values in the following table (show your calculations): Expected Vaccinated Unvaccinated Experiencing (i) .......... (ii) .......... the breakthrough infection M experiencing the breakthrough infection d. [3 points] Fill in the relevant six values in the following table (show your calculations): Chi-squared Vaccinated Unvaccinated Experiencing (i ) ... (ii ) ... the breakthrough infection Not (ifi ) .... (iv ) ... experiencing the breakthrough infection Total (v ) . (vi ) ... e. [0.5 point] What is the Grand Total from the Chi-squared table in part d above? Grand Total = f. [0.5 point] Compute the df: df = g. [1 point] Compute the p-value below (Hint: use Table F): p-value = h. [2 points] Do you reject Ho for Ha? Why? i. [1 point] State your conclusion in plain English