The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 800 voters in the town and found that 67% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 63%. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.

We have to reject null hypothesis

Step-by-step explanation:

n = 800

P* = sample proportion = 0.67

Alpha = 0.05

Null hypothesis h0: proportion = 63%

Alternate hypothesis h1: proportion > 64%

Test statistics:

Z = (p* - P)/√pq/n

Z = 0.67 - 0.64/√0.63x0.37/800

= 0.67 - 0.63/0.017

=0.04/0.017

= 2.352

At 0.05 the critical value of z = 1.645

We compare z calculated and z critical value.

2.352 is greater than 1.645 therefore we take the decision to reject the null hypothesis at 0.05 level of significance.

The percentage of residents that supports construction is greater than 63%

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .