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?

Answer and Step-by-step explanation:

A+B only 10% = = 0

95%=1302  

99% = 1377  

5% = 1188  

2.5% = 1169

A= deduct this from sample size B it is usually 5 of the vote% so in comparison would not hinder the negative we deduct 1 from the 5%. B. Margin of error is 2.5% deduction comparison was Mayor was asking for a negative outcome with a positive vote. which is biased alone. Loss of confidence due to margins.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

they used 313 gallons of paint