L –3 | A. 3 B. -3 C. 0.30 D. 30

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

H₀: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. p₁ = p₂.

Hₐ: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. p₁ ≠ p₂.

The two-proportion z-test would be used to perform the test.

A sample of n = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

$\hat p_{n}=\frac{6}{40}=0.15$

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

$\hat p_{s}=\frac{11}{40}=0.275$

The test statistic is:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

Compute the combined proportion P as follows:

$P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125$

Compute the test statistic value as follows:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

$=\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$

Thus, the test statistic for the appropriate test is $\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$ .

8 0

3 years ago

Cards for Candy Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for o

Nikitich [7]

Answer:

6 games

Step-by-step explanation:

if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.

8 0

3 years ago

I don't understand how to factor out the GCF of the polynomial <img src="https://tex.z-dn.net/?f=4x%5E%7B2%7D%20-8x-6" id="T

Kitty [74]

You have to do 4 times the 8 which is 24. Then find the adding for the -6. 1*6 2*6 3*6 4*6 , 4*6 is 24 so your answer would be (x-4) (x+6)

6 0

3 years ago