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Cerrena [4.2K]
3 years ago
13

the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0
The decrease:
125000 - 117500 = 7500

Percentage of decrease = 7500/125000 x 100 = 6%

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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
Form the algebraic expressions for the following with explanation.
nevsk [136]

answer:

<h2><u><em>7w− 2/v</em></u></h2><h2>Step-by-step explanation:</h2>

8 0
3 years ago
HELP ME PLEASE PLEASE IM BEGGING
Llana [10]

Answer:

Consistent and independent

Step-by-step explanation:

This is bcoz dependent lines overlap each other, where as inconsistent lines dont intersect

5 0
3 years ago
What is the volume of the cylinder below? With 6,4,7
Ivan
A! You need to multiply all the numbers together
3 0
3 years ago
Read 2 more answers
The formula s= sqrt SA/6
ikadub [295]
For this case we have the following equation:
 s = root (S.A / 6)
 Substituting values we have:
 For S.A = 180:
 s = root (180/6)
 s = root (30)
 For S.A = 120:
 s = root (120/6)
 s = root (20)
 s = root (4 * 5)
 s = 2 * root (5)
 Subtracting both values we have:
 root (30) - 2 * root (5)
 Answer:
 
root (30) - 2 * root (5)
 
option 2
3 0
3 years ago
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