Suppose we would like to test the claim thatmore than80% (>80%) of Canadians are willing to receive a vaccine for COVID-19 once a vaccine is found. (We are assuming that the threshold forherd immunityis 80%.)

QUESTION 3

1. (... continuing previous question)We randomly select n = 2500 Canadians and find that x = 1950 of these individuals say "yes", they are willing to receive a COVID-19 vaccine. What is the value of the appropriate test statistic? (First, decide if it is z or t and then calculate its value) Round to four decimal places.

QUESTION 4 (... continuing previous question) The P-value for an observed p is dened as the probability of observing a p value as extreme or more extreme as the observed value (extreme in the sense indicated by the alternative hypothesis), given that the null hypothesis is true. Which of the following gures correctly represents the P-value for the sample obtained in question 3? QUESTION 5 (... continuing previous question) What is the correct conclusion to draw from the sample data? Use significance level a = 0.05 O a. We have sufficient evidence to support the claim that more than 80% of Canadians are willing to receive a COVID-19 vaccine. O b. We have insufficient evidence to support the claim that more than 80% of Canadians are willing to receive a COVID-19 vaccine. O c. We have sufficient evidence to reject the claim that more than 80% of Canadians are willing to receive a COVID-19 vaccine. O d. We have insufficient evidence to reject the claim that more than 80% of Canadians are willing to receive a COVID-19 vaccine