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3 years ago

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Sketch the images of abcd after each translation

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dsp733 years ago

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Answer in the attachments.

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At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen

guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

$p_1 = \frac{20}{100} = 0.2$

$s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04$

p2 -> 1997

10 out of 100, so:

$p_2 = \frac{10}{100} = 0.1$

$s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03$

Distribution of p1 – p2:

$p = p_1 - p_2 = 0.2 - 0.1 = 0.1$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05$

Confidence interval:

$p \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower bound of the interval is:

$p - zs = 0.1 - 1.645*0.05 = 0.01775
$

The upper bound of the interval is:

$p + zs = 0.1 + 1.645*0.05 = 0.18225
$

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0

3 years ago

Solve pls brainliest

BigorU [14]

Have a great day!!!!

7 0

3 years ago

Read 2 more answers

Jaxon test-drives cars for a car company. Part of his job is to test the cruise control on a testing course. On his last drive,

Sergeeva-Olga [200]

Answer:

Jaxon drove 96 miles

Step-by-step explanation:

Sense Jaxon was driving at the constant rate of 48 miles per hour for two hours you would do the equation 48 x 2 = 96.

Hope this helps.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right

RideAnS [48]

Answer:

Choise B: $-1.3+1.9$

Step-by-step explanation:

For this exercise you must remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

By definition, equivalent expression have the same value.

Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it.

So, given:

$-1.3 - (-1.9)$

To simplify it, you can distribute the negative that is located outside of the parentheses (in order to eliminate the parentheses).

Applying this procedure, you get the following equivalent expression:

$-1.3 - (-1.9)=-1.3+1.9$

Therefore, as you can notice, the expression obtained matches with the one shown in Choice B.

8 0

3 years ago

Plz Help me Brainliest to whoever answers first

Anna11 [10]

16 I believe please mark BRAINLIEST

5 0

3 years ago