Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.

The value of z test statistic is 2.871.

Step-by-step explanation:

We are given that a software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Let p = population proportion of adults who would erase all of their personal information online if they could.

So, Null Hypothesis, : p 50%      {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}

Alternate Hypothesis, : p > 50%     {means that majority of adults would erase all of their personal information online if they could}

The test statistics that would be used here One-sample z test for proportions;

                            T.S. =    ~ N(0,1)

where, = sample proportion of adults who would erase all of their personal information online if they could = 56%

           n = sample of adults taken = 564

So, the test statistics  =  

                                       =  2.871

The value of z test statistic is 2.871.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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.