Atelevision news program conducts a call in poll about a proposed city ban on handgun ownership. of the 2372 calls,1921 oppose the ban. the station, following recommended practice, makes a confidence statement: "81% of the channel 13 pulse poll sample opposed the ban. we can be 95% confident that the true proportion of citizens opposing a handgun ban is within 1.6% of the sample result." is this conclusion justified?

We can be 95% confident that the true proportion of citizens opposing a handgun ban is within 1.6% of the sample result.

is true.

Step-by-step explanation:

Given that a television news program conducts a call in poll about a proposed city ban on handgun ownership. Of the 2372 calls,1921 oppose the ban. The station, following recommended practice, makes a confidence statement:

Sample proportion p =

q=1-p =

Std error of p =

Margin of error for 95%=1.96*std error = 0.0158

Since margin of error is 0.0158 i.e. nearly 15.8% and proportion is 0.8099 = 81%

the statement is correct.

We can be 95% confident that the true proportion of citizens opposing a handgun ban is within 1.6% of the sample result.

is true.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

answer4 to the second power is 16

and 4 to the third power is 64,