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masha68 [24]
3 years ago
13

ANSWER ASAPPPP PLEASE BEING TIMEDDDDDDD

Mathematics
1 answer:
eimsori [14]3 years ago
4 0
The second answer is the correct answer
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The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume
ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  \sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} }  }

= \sqrt{2067128.4706}

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0
2 years ago
What number multiplied by itself will give 2704?
finlep [7]
The answer to the question is 52
3 0
3 years ago
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A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
vovangra [49]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
Someone please help me! ‘The value of X is...’
8_murik_8 [283]
This is called a double equation. If you solve for X, you would get 'any whole number.'
7 0
3 years ago
Whats 20 times 30 ÷ 65
vlabodo [156]
20 * (30 ÷ 65) = <span>9.23076923077</span>
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3 years ago
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