The province of Manitoba is interested to estimate the true proportion of people who have received a ticket for failure to wear a mask in Indoor public places, follow restrictions resulting from recent public health orders. A study was conducted to address this concern. A random sample of 100 people were selected, 20 of whom said they have received such a COVID-19 ticket.
(a) Construct 95% confidence interval for estimating the true population proportion
(b) Provide an interpretation of the confidence interval in part (a).
Conduct an appropriate hypothesis test at the 5% level of significance to test the claim that more than 22% of Winnipeggers received such a ticket. Provide the following
(c) hypotheses statement
(d) test statistic value, please indicate type of test being used (2 or 1)
(e) P-value
(f)conclusion