A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying technology display results from a test of the claim that 35% of adults have heard of the new electronic reader. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Two-tailed test Right tailed test What is the test statistic? (Round to two décimal places as needed.) What is the P-vahie?

a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:  

Alternative hypothesis:  

And is a two tailed test

b)  

c)  

d) Null hypothesis:  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

estimated proportion of people who have heard of a new electronic reader

is the value to verify

represent the significance level

z would represent the statistic

represent the p value

Part a

We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:  

Alternative hypothesis:  

And is a two tailed test

Part b

The statistic for this case is given :

(1)  

Replacing the info given we got:

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

Part d

The null hypothesis for this case would be:

Null hypothesis:  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

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.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.