A company is criticized because only 20 of 47 executives at a local branch are women. The company explains that although this proportion is lower than it might wish, it's not a surprising value given that only 45% of all its employees are women. The company has more than 500 executives worldwide. Test an appropriate hypothesis and state the conclusion.

There is insufficient evidence to support the claim that  it's not a surprising value given that only 45% of all its employees are women

Step-by-step explanation:

-Given that

-We state our hypothesis as:

#We apply the one-proportion z-test to test the claim about the one population proportion.

-The sample proportion is calculated as:

#We determine the value of the test statistic as:

#We determine the p-value using the normal probability table:

=>Fail to reject

There is insufficient evidence to support the claim that  it's not a surprising value given that only 45% of all its employees are women

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.