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Name the values of the given digits in the 4s in 4,400

Anuta_ua [19.1K]

4 thousands and 4 hundreds. This is the answer.

7 0

3 years ago

Not Answered Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal f

ehidna [41]

Answer:

Null hypothesis: $p_{1} = p_{2}$

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

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

$p_v =2*P(Z>2.688)= 0.0072$

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 proportions analyzed are significantly different 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 in 2012

$X_{2}=315$ represent the number of people indicating that their financial security was more than fair in 2010

$n_{1}=1000$ sample 1 selected

$n_{2}=900$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of people indicating that their financial security was more than fair in 2012

$p_{2}=\frac{315}{900}=0.350$ represent the proportion estimated of people indicating that their financial security was more than fair in 2010

$\hat p$ 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)

$\alpha=0.05$ significance level given

Part a: 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: $p_{1} \neq p_{2}$

Hypothesis testing

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+315}{1000+900}=0.382$

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:

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

Statistical decision

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

$p_v =2*P(Z>2.688)= 0.0072$

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 proportions analyzed are significantly different at 5% of significance.

3 0

4 years ago

∠A and ∠B are complementary. If ∠A= 32 find m∠B.

rewona [7]

Answer:

Your answer is 58

Step-by-step explanation:

This is true because complementary means both angles add to 90 degrees. So if you know one is 32 then you subtract 90-32 which will give you 58 (angle B).

6 0

3 years ago

Read 2 more answers

Sakura speaks 150150150 words per minute on average in Hungarian, and 190190190 words per minute on average in Polish. She once

d1i1m1o1n [39]

Answer:

300 words in Hungarian and 570 in Polish.

Step-by-step explanation:

I guess you need to know the number of words in Hungarian and in Polish.

Let H be the words he said in Hungarian, and P the words he said in Polish.

We are told that Sakura uttered a total of 270 more words in Polish than in Hungarian, therefore:

P = H + 270

And that I speak for 5 minutes, we know that the speed of words in Hungarian is 150 and in Polish it is 190, therefore:

5 = H / 150 + P / 190

Thus we have two equations and two unknowns, that is, it has a solution, replacing P:

5 = H / 150 + (H +270) / 190

5 = (190 * H + 150 * H + 270 * 150) / (150 * 190)

5 * 150 * 190 = 340 * H + 270 * 150

H = (5 * 150 * 190 - 270 * 150) / 340

H = 300

Therefore he said 300 words in Hungarian.

In Polish it would be:

P = 300 + 270 = 570

To check we have to:

300/150 + 570/190 = 5

Therefore, Sakura giving the instructions said 300 words in Hungarian and 570 in Polish.

8 0

3 years ago

A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 fa

igomit [66]

Answer:

third one

Step-by-step explanation:

7 0

3 years ago