*PLEASE HELP* I NEED TO FINISH THIS IN 30 MINUTES (I’ll give brainlist)

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

kaheart [24]

Answer:

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.52$ estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

5 0

2 years ago

Find the mean and the median of the data set..... 200,167,185,212,195,193,188,140

astraxan [27]

You Will Add Up All The Number Then Divide By The Total Number You Have In All
The Mean Is 185
You Put All The Number In Order For The Median
140,167,185,188,193,195,200,212
So You Have Two Number Which Are 188 and 195
You Will Add 188 + 195=383
Now You Divide 383 By 2 Which Is 191.5

4 0

3 years ago

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally beli

Svetach [21]

Hi there :)

Question :

........

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.

☆ The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning.

☆ There is no causation and almost no correlation between the football team playing at home and winning.

Direct Answer- Option A

Answer Explanation -

r = -0.91

Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.

| r | = 0.91, which is quite close to 1, so a significant relationship. Also, Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and so, correct answer is Option A

Method explanation :-

Correlation coefficients measure the relationship between variables, the closer | r | is to 1, the stronger the relationship will be.

If the coefficient is positive, then there will be a positive relationship. If the coefficient is negative, then there is a negative relationship.

5 0

1 year ago

A community is building a square park with sides that measure 150 meters. To separate the picnic

Firlakuza [10]

Answer:

212 meters

Step-by-step explanation:

The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)

2 * 22500 = 45000

The square root of 45000 is about 212.13, which would round down to 212 meters.

7 0

2 years ago

Please help! I’m very confused on this question. I’m not very good at geometry.

Ahat [919]

Well, to find the perimeter we have to add all of the side lengths, so let's do that:

2x+3 +2x+3 +2x

And we know that this equals 36 so let's solve for x

2x+3+2x+3+2x = 36

6x+6 = 36

6x = 30

x = 5

So we know know that x = 5.

Now all you have to do is plug in the values of x into the lengths

2(5) + 3

= 10+3

= 13 is the length of two of the sides.

2x

= 2(5)

= 10

And 10 is the length of the last side.

8 0

2 years ago

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