Facial prototyping 1.5.19 Reconsider Exploration 1.3, where we explored whether the long-run proportion that students in a class would correctly assign the names Bob and Tim to the pictures. We tested to see if this long-run proportion is more than 0.50. a. State the appropriate null and alternative hypotheses in the context of this study. b. In a class of one of the authors 19 out of 30 students correctly identified that the face on the left belonged to Tim. Using an appropriate applet, find the p-value using a one-proportion zz-test (theory-based/normal approximation). c. Summarize your conclusion from your p-value. d. What is the zz-statistic for the test

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step-by-step explanation:

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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.