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Eduardwww [97]
3 years ago
13

Consider the hypothesis test below.

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:

Z_{H0} =1.79

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

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

   √ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>

                   

Z=<u>                    (0.28-0.15)-0                    </u>= 1.79

   √ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

I hope you have a SUPER day!

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Dmitrij [34]
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= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3
5 0
3 years ago
Bread and sugar cost 110 together,bread cost 100 more than sugar,how much does sugar cost?
dangina [55]
First write an equation system based on the problem
We can write "<span>Bread and sugar cost 110 together" as
</span>∴ b + s = 110
We can write "<span>bread cost 100 more than sugar" as
</span>∴ b = 100 + s
<span>
Second, solve the equation system by subtitution method
Subtitute b with (100+s) in the first equation, and we'll find the value of s
b + s = 110
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100 + 2s = 110
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4 0
3 years ago
Please answer this correctly
lozanna [386]

Answer:

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Step-by-step explanation:

the answer was 4998

8 0
3 years ago
The graph represents a distribution of data.
makvit [3.9K]

Answer:

Mean=50

Step-by-step explanation:

The mean of a probability distribution is a <u>measure of central tendency</u>,and gives information about how the possible values of x are distributed.

The vertical axis measures the probability of  finding a specific value of x in the sample.  The probability of finding a value near the mean is high (that is why the value of the function that is depicted in the vertical axis, increases as we get closer to the mean=50): this is because the mean is that value of x around which higher probability of occurrence is associated.

6 0
3 years ago
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Two partners agree to invest equal amounts in their business. One will contribute​ $10,000 immediately. The other plans to contr
krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

A=P(1+\frac{r}{n})^{nt}

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

A = P(1+\frac{0.09}{4})^{8}

According to the question,

A = $ 10,000,

P(1+\frac{0.09}{4})^{8}= 10000

P(1+0.0225)^8 = 10000

\implies P = \frac{10000}{1.0225^8}\approx \$ 8369.38

6 0
3 years ago
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