1.The city of San Francisco employs over 44,000 people. In a random sample of 800 of these employees, it was found that 125 of them work for the Municipal Transportation Agency (MTA)in 2019.

a.Calculate a 95% confidence interval for the true proportion of San Francisco employees who work for the MTA.

b.Interpret the interval you constructed in a.

c.In 2007 census for all employees in San Francisco, it was known that 10% of the employees in San Francisco worked for MTA. 12 years have passed since then, one doubt that the proportion might have changed in 2019. Conduct hypotheses testing with 5% significance level.

i.State the null and alternative hypotheses.

ii.Compute test statistics

iii.Obtain p-value or rejection region.

iv.Make conclusion.