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timurjin [86]
3 years ago
12

Anyone PLEASE help!!! I will give brianliest

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

its the second one.

Step-by-step explanation:

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February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization,
timurjin [86]

Answer:

Z_{H0} = 2.83

Reject H₀

Step-by-step explanation:

Hello!

The objective of the poll is to compare the proportions of people who believe in the theory of evolution. For this, the investigator took a sample of 1018 and divided it into two groups using a criteria their level in college education.

Group 1 (people with some college education)

n₁= 325

x₁= 133

sample proportion ^ρ₁=x₁/n₁ = 133/325 = 0.409

Group 2 (college graduates)

n₂= 228

x₂= 121

sample proportion ^ρ₂=x₂/n₂ = 121/228 = 0.531

pooled proportion ^ρ= 0.459

The statistic test that corresponds to test if the proportions are equal or different is the difference of population proportions and you have to use the normal approximation for the proportions to calculate it.

The hypothesis is:

H₀: ρ₂=ρ₁

H₁: ρ₂≠ρ₁

α: 0.10

Z=<u>    (^ρ₂ - ^ρ₁) - (ρ₂ - ρ₁)   </u> ≈ N (0;1)

     √(^ρ(1 - ^ρ)*(1/n₂+1/n₁)

The critical region is  two-tailed, so you have a lower critrical value and an upper critical value:

Z_{\alpha /2} = Z_{0.05} = -1.64

Z_{1-\alpha /2} = Z_{0.95} = 1.64

If Z_{H0} ≤ -1.64 or if Z_{H0} ≥ 1.64 you reject the null hypothesis.

If -1.64 < Z_{H0} < 1.64, the you do not reject the null hypothesis.

Z=<u>    (^ρ₂ - ^ρ₁) - (ρ₂ - ρ₁)   </u> = <u>          (0.531 - 0.409) - 0         </u> = 2.83

     √(^ρ(1 - ^ρ)*(1/n₂+1/n₁)      √(0.459(1 - 0.459)*(1/228+1/325)  

Z_{H0} = 2.83

Since the calculated Z value is greater than the upper critical value, the decision is to reject the null hypothesis. In other words, there is significative enough evidence to say that there is a difference between the population proportion of people who believe in the evolution theory and graduated from college and the population proportion of people who believe in the evolution theory and have some college education.

I hope it helps!

5 0
3 years ago
Help pls and quick thanks
storchak [24]

Answer:

I think the Question asks to to take w in left side. so, the answer is below

Step-by-step explanation:

w=sa

5 0
2 years ago
6x-27=-3x<br><br> solve for x:D
son4ous [18]

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

7 0
2 years ago
Write a rule for the arithmetic sequence. 5, 56, 107, 158, ...
Katena32 [7]
Add 51 to get next number.

Proof:
5+51=56
56+51=107
107+51=158
3 0
3 years ago
Suppose a principal amount of $2079 were invested into a simple interest account that pays an annual rate of 2.31% then the amou
Anna35 [415]

Answer:

The amount of interest earned at the end of 14 years would be $672.3486

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

P = 2079, I = 0.0231, t = 14

So

E = 2079*0.0231*14 = 672.3486

The amount of interest earned at the end of 14 years would be $672.3486

4 0
3 years ago
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