YThe Pew Research Center conducted a survey of 1007 adults and found that 85% of them know what Twitter is. Find a 90% confidence interval for the proportion of all adults who know what Twitter is. Also find the margin of error. Round all of your answers to four decimal places.

The 90% confidence interval is  

Step-by-step explanation:

From the question we are told that

   The sample size is n =  1007  

    The sample proportion is  

From the question we are told the confidence level is  90% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>  

=>      

Generally 90% confidence interval is mathematically represented as  

=>  

=>  

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.