estimate the true proportion of people who have received the first COVID-19 vaccine. A study was conducted to address this concern. A random sample of 100 people was selected (who were eligible for the vaccine), 45 of whom said they have received the vaccine. (a) Construct a 95% confidence interval for estimating the true population proportion (2 Marks) (b) Provide an interpretation of the confidence interval in part (a). (1 Mark) Conduct an appropriate hypothesis test, at the 5% level of significance to test the claim that more than 40% of Manitobans received the vaccine. Provide the following: (c) hypotheses statement (2 Marks) (d) test statistic value, please indicate type of test being used (2 Marks) (e) P-value (1 Mark) (f) conclusion (1 Mark)