Slope between 1, 3/4 and 4, -3

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago

Need help on numbers 1 and 2 ill mark brainliest if they are right

geniusboy [140]

Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.

1. Rectangular prism, aka a box. Volume is length times width times height.

V = 5×7×9 = 315 cubic feet

That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.

Answer: 315 cubic feet, first choice

2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.

V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds

Answer: 1230.9 cubic yards, last choice

5 0

3 years ago

Find BC. Round to the nearest tenth

melamori03 [73]

Use the law of sines; see the attached picture.

6 0

4 years ago

Read 2 more answers

URGENT! IM TIMED! 2.35•2/3 in fraction form?

liberstina [14]

Answer:

Simplified: 1.56

fraction form 47/30

7 0

3 years ago

in the diagram,the pyramid has a rectangular base.ifthe pyramid has a volume of 176 cmcube and the height of 11cm ,find the valu

SOVA2 [1]

The formula of pyramid:
$v = \frac{1}{3} ah$
Where v is the volume, a is the base area and h is the height.

We can then put the given information into the formula:

176 = (1/3)(3x × x)(11)

(176 × 3) / 11 = 3x^2

3x^2 = 48

x^2 = 48/3

x = _/16

x = 4

3 0

3 years ago