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kkurt [141]
3 years ago
9

Please help Probabilities

Mathematics
2 answers:
Maksim231197 [3]3 years ago
6 0

Answer: The answer is D

Fittoniya [83]3 years ago
6 0

Answer:

4/5

Step-by-step explanation:

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You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
otez555 [7]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of men and women who own cats.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men

n1 = 80

p1 = 55/100 = 0.55

x1 = p1n1 = 0.55 × 80 = 44

For women,

n2 = 100

p2 = 30/100 = 0.3

x2 = p2n2 = 0.3 × 100 = 30

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (44 + 30)/(80 + 100) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39

Test statistic = 3.39

5 0
3 years ago
Solve for the compound inequality 6b < 42 or 4b + 12 > 8.
Anuta_ua [19.1K]

Answer:

-1<b<7, or i suppose b.

Step-by-step explanation:

6b<42

b<7

4b+12>8

4b>-4

b>-1

6 0
3 years ago
You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it
aliina [53]

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

4 0
3 years ago
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
Pavlova-9 [17]

Answer:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean \mu. And we can estimate this parameter with a confidence interval given by this formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

7 0
3 years ago
(3/5 - 1/2) divided by 1/2 + 1.6 x (0.3 + 0.42)
MAVERICK [17]
1.202
3/5 and 1/2 can be 6/10 and 5/10. then 0.1/2 is 0.05. for the other part, just plug 0.72 x 1.6 into a calculator.

8 0
3 years ago
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