Your classmate suggests that the margin of error in the interval could be reduced if the confidence level were changed to 90% instead of 95%. do you agree with this statement? why or why not?

Yes

Step-by-step explanation:

Given that your classmate suggests that the margin of error in the interval could be reduced if the confidence level were changed to 90% instead of 95%.

This is a true statement

Reason:

Confidence interval = mean±margin of error

margin of error = Critical value * Std error

Thus we have the higher the margin of error the wider the confidence interval.

And the higher the critical value the higher the margin of error.

In other words  when confidence level is reduced from 95% to 90% we get reduced critical value and as a result narrower confidence interval.

True statement

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.