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storchak [24]
2 years ago
6

Infinitely many solutions

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0

Answer:

x=0

Step-by-step explanation:

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g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha
leva [86]

Answer:

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

p_v =2*P(Z>2.502)= 0.0123    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.    

Step-by-step explanation:

Data given and notation    

X_{1}=410 represent the number of people indicating that their financial security was more than fair for the recent year

X_{2}=245 represent the number of people indicating that their financial security was more than fair for the year before

n_{1}=1000 sample 1 selected  

n_{2}=700 sample 2 selected  

p_{1}=\frac{410}{1000}=0.410 represent the proportion estimated of indicating that their financial security was more than fair this year

p_{2}=\frac{245}{700}=0.35 represent the proportion estimated of indicating that their financial security was more than fair the year before

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

p_v represent the value for the test (variable of interest)  

\alpha significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+245}{1000+700}=0.385  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

Statistical decision  

Since is a two sided test the p value would be:    

p_v =2*P(Z>2.502)= 0.0123    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.    

7 0
3 years ago
-3(-5z+12) (use the distributive property to write each expression as an equivalent expression)
Georgia [21]
The answer to that is -15-36 hope that helps you with your problem.
3 0
3 years ago
Hi can anybody tell me the answer please
Dmitriy789 [7]

Answer:

x = 14 cm

Step-by-step explanation:

200 000 cm = 2 km

1 cm ............... 2km

x cm ..............28 km

x = 28*1/2 = 28/2 = 14 cm

6 0
3 years ago
Read 2 more answers
At your high school, you are trying to determine the probability that a
AnnyKZ [126]

Cannot be determined

<u>Explanation</u>

The probability cannot be determined because we do not know the distribution of the population. We also do not know the number of students who are taking marketing or spanish or total number of students. Since the data is incomplete, we cannot determine the probability of students taking spanish or marketing.

8 0
3 years ago
Read 2 more answers
Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank
mixas84 [53]

Answer:

Step-by-step explanation:

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56

Simple interest formula =

I = PRT

We are to find the Amount = Principal invested

For Account 1

I1 = P × 5% × 1

= 0.05P

Account 2

I2 = P × 6% × 1

= 0.06P

Therefore:

0.05P + 0.06P = $56

6 0
3 years ago
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