Asample proportion of 0.18 is found. to determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.18.

the minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.

what is the margin of error of the population proportion using an estimate of the standard deviation?

±0.04

Step-by-step explanation:

From the Empirical Rule, we can estimate the range as being 6 standard deviations wide.  Therefore, the standard deviation is:

σ = (0.40 - 0.28) / 6

σ = 0.02

The margin of error is ±2σ, so:

ME = ±0.04

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.