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kati45 [8]
3 years ago
11

What is the equation of the following line please help

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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A random sample of n 1n1equals=139139 individuals results in x 1x1equals=3737 successes. An independent sample of n 2n2equals=14
gulaghasi [49]

Answer:

z=-2.32  

p_v =P(Z  

If we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=37 represent the number of people with characteristic 1

X_{2}=58 represent the number of people with characteristic 2

n_{1}=139 sample 1 selected

n_{2}=147 sample 2 selected

p_{1}=\frac{37}{139}=0.266 represent the proportion of people with characteristic 1

p_{2}=\frac{58}{147}=0.395 represent the proportion of people with characteristic 2

z would represent the statistic (variable of interest)  

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

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion 1 is less than the proportion 2, the system of hypothesis would be:  

Null hypothesis:p_{1} \geq p_{2}  

Alternative hypothesis:p_{1} < 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{37+58}{139+147}=0.332

3) Calculate the statistic

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

z=\frac{0.266-0.395}{\sqrt{0.332(1-0.332)(\frac{1}{139}+\frac{1}{147})}}=-2.32  

4) Statistical decision

For this case we don't have a significance level provided \alpha we can assuem it 0.05, and we can calculate the p value for this test.  

Since is a one left tailed test the p value would be:  

p_v =P(Z  

So if we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.  

5 0
3 years ago
$1.12 for 8.2 ounces? Unit Rate
Reil [10]
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
4 0
3 years ago
Construct a​ 95% confidence interval for the population standard deviation sigma of a random sample of 15 crates which have a me
Ad libitum [116K]

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. z_{\frac{\alpha}{2} }=1.96

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

4 0
2 years ago
Does the sum of the exterior angles of a pentagon equals 300 degrees
tatuchka [14]
No the sum would always be 360 degrees
7 0
3 years ago
You buy shrimp at the market. The shrimp cost $34.99 for two 2.5-pound bags. What is the unit rate of the shrimp in dollars per
schepotkina [342]
$34.99 ... 2.5-pound bags
$x = ? ... 1 pound

If you would like to know what is the unit rate of the shrimp in dollars per pound, you can calculate this using the following steps:

34.99 * 1 = x * 2.5
34.99 = x * 2.5      /2.5
x = 34.99 / 2.5
x = $13.996 = $14

The correct result would be $14.
5 0
3 years ago
Read 2 more answers
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