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Alla [95]
2 years ago
5

An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less th

an 10%. They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious Let's test the hypothesis that the actual percentage of rebellious humans is 10% versus the alternative that the actual percentage is higher than that The table below sums up the results of 1000 simulations, each simulating a sample of 400 humans, assuming there are 10% rebellious humans. According to the simulations, what is the probability of getting a sample with 14% rebellious humans or more?
1.5%
2%
0.3%
0.7%

Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we will reject the hypothesis.

We cannot reject the hypothesis
We should reject the hypothesis​
Mathematics
1 answer:
8090 [49]2 years ago
6 0

Step-by-step explanation:

How was the government able to make children go to residential school?

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The ages of the members of a gym have a mean of 4747 years and a standard deviation of 1111 years. what can you conclude from​ c
Bond [772]

Chebyshev came up with the limits on how much or how many of the data must lie close to the mean. In specific for any positive k, the proportion of the data that lies within k standard deviations of the mean is at least: <span>

1 - 1/k² 

<span>In this problem  the mean is 47 yrs therefore:

(47 – 17.3) = 29.7 = (76.7 - 47) </span></span>

The value of k is calculated using the formula:<span>

29.7 / 11 = 2.7 = k</span>

So the % of gym members aged between 19.4 and 76.6 is: <span>

1 - 1 / (2.6)² = 0.863 = 86.3 %</span>

 

<span>Therefore 86.3% of the gym members are aged between 19.4 and 76.6</span>

5 0
3 years ago
Does -3x less than or equal to -3x have a solution
Alenkasestr [34]

Answer:

Infinite amount of solutions.

Step-by-step explanation:

Note that both sides of the equation is -3x. This means that regardless of what you put into x. It will always be the same on both sides.

~

3 0
3 years ago
Read 2 more answers
What is the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet?
mafiozo [28]
10..............................                                 
5 0
3 years ago
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Trevor was reading a book for a book report. Last week, he read 35 pages of the book. This week, he read 4.5 times as many pages
navik [9.2K]

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Multiply the numbers as though they were integers, then mark off a number of decimal places in the product equal to the total number of decimal places in the numbers being multiplied (1).

6 0
3 years ago
A light aircraft travels 5 miles per hour less than twice the speed of a bus. If the bus can travel 114 miles in the same time i
Rufina [12.5K]
A represents the speed of the aircraft.
b represents the speed of the bus.

a=2b-5
114/b=218/a

Substitution method

114/b=218/(2b-5)

(2b-5)*(114/b)= 218

(228b-570)/b = 218

228b-570= 218b

228b-218b=570

10b= 570

b=57

Plug the value of b into one of the original equations.

a=2(57)-5
a=114-5
a=109

Final answer:
Average speed of plane= 109
Average speed of bus= 57
3 0
3 years ago
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