The Dallas Morning News is running a series of articles to see if the residents of Dallas still support the Mayor’s decision to block the Dallas Cowboys from moving into a new Fair Park stadium now that the city of Arlington has had an unprecedented growth. In the 10 years since the new stadium opened, the stadium has brought in far more money for taxpayers than the benefit given to the Cowboys for moving to Arlington. A SRS of 1250 Dallas adults were asked and only 76 said they still support the Mayor’s decision.

Find the appropriate critical value for the problem

Construct a 90% confidence interval to estimate the true proportion of residents who still support the Mayor’s decision. Show your work.

Is it Plausible that the true proportion is .05?