The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample. what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

Statements

case 1) The apothem can be found using the Pythagorean theorem

The statement is True

we know that

If ABC is an equilateral triangle (see the attached figure with letters to better understand the problem)

then

AB=BC=AC

Applying the Pythagorean Theorem

case 2) The apothem can be found using the tangent ratio

The statement is True

we know that

case 3) The perimeter of the equilateral triangle is 15 cm

The statement is False

we know that

perimeter of the equilateral triangle is equal to

case 4) The length of the apothem is approximately 2.5 cm

The statement is True

see case 1) and case 2)

case 5) The area of the equilateral triangle is approximately 65 cm2

The statement is False

Applying the law of sines

therefore

the answer is

case 1) The apothem can be found using the Pythagorean theorem

case 2) The apothem can be found using the tangent ratio

case 4) The length of the apothem is approximately 2.5 cm