![colton7856](/avatars/18684.jpg)
colton7856
30.05.2020 •
Mathematics
An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10 % 10%10, percent. They abducted a random sample of 400 400400 humans, performed special psychological tests, and found that 14 % 14%14, percent of the sample are rebellious. Let's test the hypothesis that the actual percentage of rebellious humans is 10 % 10%10, percent versus the alternative that the actual percentage is higher than that. The table below sums up the results of 1000 10001000 simulations, each simulating a sample of 400 400400 humans, assuming there are 10 % 10%10, percent rebellious humans. According to the simulations, what is the probability of getting a sample with 14 % 14%14, percent rebellious humans or more?'
Solved
Show answers
More tips
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- H Health and Medicine How to perform artificial respiration?...
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
- C Computers and Internet How Do You Refill Cartridges?...
Answers on questions: Mathematics
- M Mathematics Tom bought one third pickles as many pickles as alexa. Together their pickles cost 56p. How many pickles did they each buy?...
- M Mathematics A triangle has 8cm and 5cm and an angle of 90° between them. Calculate the smallest angle of the triangle...
- M Mathematics Plot the image of quadrilateral ABCD under a reflection across line l.Links will be reported!...
- C Computers and Technology What is the least important element of a wind vane...
- P Physics The Grinch, who has the strength of ten men, plus two”, is about to lift a Sled Full of Christmas over his head and run up the hill to a height of 21.3 m. The total...
- M Mathematics Need urgent help doing this question!...
- M Mathematics Your lunch will cost more than $6...
Ответ:
Probability of getting a sample with 14% rebellious humans or more is 0.0104.
Step-by-step explanation:
We are given that an alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%.
They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious.
Let p = population proportion rebellious humans
The z score probability distribution for sample proportion is given by;
Z =
~ N(0,1)
where,![\hat](/tpl/images/0671/1715/62b32.png)
= sample proportion rebellious humans = 14%
n = sample of humans = 400
p = population proportion rebellious humans = 10%
Now, probability of getting a sample with 14% rebellious humans or more is given by = P(
14%)
P(![\hat p](/tpl/images/0671/1715/7e39a.png)
0.14) = P( ![\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }](/tpl/images/0671/1715/268e2.png)
![\geq](/tpl/images/0671/1715/d872a.png)
) = P(Z
2.31)
= 1 - P(Z < 2.31) = 1 - 0.9896 = 0.0104
The above probability is calculated by looking at the value of x = 2.31 in the z table which has an area of 0.9896.
Hence, the required probability is 0.0104.
Ответ:
AA similarity postulate
Hope this helps you. Do mark me as