An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. use the parameter p, the true proportion of fireflies unable to produce light.
express the null hypothesis and the alternative hypothesis in symbolic form for a test to support this claim.
a. h0: p > 0.0016
h1: p < = 0.0016
b. h0: p < 0.0016
h1: p > = 0.0016
c. h0: p = 0.0016
h1: p < 0.0016
d: h0: p = 0.0016
h1: p > 0.0016

a) H0: p > 0.0016

H1: p ≤ 0.0016

Step-by-step explanation:

A null hypothesis states that there is no relation between two variables, it's what the researcher wants to discredit.

On the other hand, the alternative hypothesis is what the researcher tries to prove.

The claim of this entomologists is that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Therefore, this claim is what he wants to prove and it would be the alternative hypothesis.

H1: p ≤ 0.0016

The null hypothesis would be the opposite of the alternative hypothesis and therefore it would be:

H0: p > 0.0016

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.