A survey of n = 100 students found that 28 of them were majoring in a STEM field. Give a 95% confidence interval estimate for the true proportion, p, of students who major in a STEM field.

We are 95% that the true proportion of interest for the students were majoring in a STEM field is between 0.192 and 0.368

Step-by-step explanation:

We want to calculate a confidence interval for the true proportion p who represent the % of students were majoring in a STEM field. The best point of estimate for this proportion is given by:

The confidence interval for the true proportion of interest is given by:  

Since the confidence level is 95%, the significance level would be and . The critical values for this case are:

And after replace into the formula we got:

We are 95% that the true proportion of interest for the students were majoring in a STEM field is between 0.192 and 0.368

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.