In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners.

Required:
a. Does this data support the Minister of Commerce or Amnesty International?
b. What other issues might be important when evaluating this data?

Answers

Answer 1

Answer:

a

   This data does not  support the Minister of Commerce or Amnesty

International

b

Another issue that is  important when evaluating this data is the judicial system of the Turgistan

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  500

 The  number of political  prisoners is  k  =  90

  The  level of significance is  [tex]\alpha = 0.05[/tex]

 

        The null hypothesis  is  [tex]H_o  :  p =  \frac{1}{3} =  0.33[/tex]

        The alternative hypothesis is  [tex]H_a : p \ne  0.33[/tex]

Generally the sample proportion is mathematically represented as

      [tex]\^ p  =  \frac{k}{n}[/tex]

=>   [tex]\^ p  =  \frac{90}{500}[/tex]

=>   [tex]\^ p  =  0.18[/tex]

 Generally the test statistics is mathematically represented as

    [tex]z =  \frac{\^ p  -  p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]

=>  [tex]z =  \frac{0.18  -  0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]      

=>  [tex]z = -7.1429 [/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P( Z  >  -7.1429)[/tex]

From the normally distribution table

    The  probability of [tex]P( Z  >  -7.1429)  =  0[/tex]

=>     [tex]p-value  =  2 * 0[/tex]

=>     [tex]p-value  =  0[/tex]  

From the value obtained we see that the [tex]p-value  <  \alpha[/tex] hence the decision rule is

  Reject the null hypothesis

The conclusion is  

  There is no sufficient evidence to conclude that  this data does support the Minister of Commerce or Amnesty International

jj


Related Questions

help please!!

For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.

Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.

Answers

The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

Please answer this correctly without making mistakes

Answers

Answer:

89%

Step-by-step explanation:

There are 100 units within the shape and 89 of them are painted so 89% is orange

How many kilograms of potatoes will each person get if 5 people share 1/3 of a kilogram of potatoes equally?

Answers

Answer:

1/15 kg

Step-by-step explanation:

Divide by 5 can be written as multiply by 1/5

1/3 * 1/5 = 1/15

help ASAP. Which relation is a function?​

Answers

Answer:

Answer choice on the top right.

Step-by-step explanation:

A function of points can not share the same x value.

Define the following terms:

Answers

Mass - Something that measures the amount of matter in a substance or an object.
Volume - The quantity of three-dimensional space enclosed by a closed surface.
Melting point - The temperature at which a given solid will melt. (32°F)
Boiling point - The temperature at which a liquid boils and turns to vapor. (212°F)
Density - The degree of compactness of a substance.
Conductivity - The degree to which a specified material conducts electricity.
Solubility - The ability of a solid, liquid, or gaseous chemical substance to dissolve in a solvent (a solvent is a liquid.)
Magnetism - A physical phenomenon produced by the motion of electric charge.

please help me lol aaaaa

Answers

Answer:

−0.125 or - 1/8

Step-by-step explanation:

1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is​

Answers

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

Nicole used 3/8 of her ribbon to wrap a present. If she used 6 feet of ribbon for the present, how much ribbon did Nicole have at first?

Answers

Answer:

She had 16 feet of ribbon

Step-by-step explanation:

Answer:

16 ft of ribon

Step-by-step explanation:

divide 6 by 3 and get 2. there is 2 ft for every 8th of the ribbon so 2×8=16

hope it helped

A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.​

Answers

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

2. I mark as brainliest ​

Answers

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

PLZ HURRY IT'S URGENT!!!
What is the slope of the line?

y=3
options:

0


1


3


undefined

Answers

Answer:

0

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

0

Step-by-step explanation:

¾ divid ⅖=n
Pleas answer i need a answer

Answers

15/8 or 1 7/8 if u need the decimals 1.875

1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?

Answers

Answer:

82

Step-by-step explanation:

A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?

Answers

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

does anyone need to talk/rant about something because im here for you

Answers

Answer: sure

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.

Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
water-and-bleach mixture that is 10% bleach. What percent of the final mixture is bleach?

Answers

Answer:

0.08%

(might be wrong)

Step by step explanation:

0.04•1+0.10•2=3•x

0.04+0.2=3x

0.24=3x

x=0.08

Not sure if this is right

Answer: 8

Step-by-step explanation:

What is the value of sin-1(cos(2pi/3))?

Answers

Answer:

-pi/6

Step-by-step explanation:

Answer:

-pi/6 c

Step-by-step explanation:

Solve the proportion. 3/4=m/6

Answers

Answer:

9/2=m

Step-by-step explanation:

3/4=m/6

m/6×3/4

18/4m

9=2m

m=9/2

4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP

Answers

Answer:

53.32114

Step-by-step explanation:

gcmf of 25x²y³+55xy³​

Answers

Answer: the answer is 5xy^3

no matter what answer i put in it always tells me I'm wrong so can someone actually help

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]

last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?​

Answers

198 is the answer I think

Find the missing angle measures. (2x-3),(8x) and(x+7)

Answers

Answer:

2x-3 =  29

8x = 128

x+7 =  23

Step-by-step explanation:

The sum of the angles of a triangle is 180

2x-3 + 8x+ x+7 = 180

Combine like terms

11x+4 = 180

Subtract 4 from each side

11x+4-4= 180-4

11x = 176

Divide by 11

11x/11 =176/11

x =16

2x-3 = 2*16-3 =32-3 = 29

8x = 8*16 =128

x+7 = 16+7 = 23

1) In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?

A. 18
B. 30
C. 32
D. 42
----------------------------------------------------------------------------------------------------------------------------
2) It is Attached below:

Answers

Answer:

For the first question: C. 32

For the second question: D. 15

Step-by-step explanation:

If 75% of the students are women, and there's 24 women, first you would have to divide 24 by 3. This equals 8. So, add 8 to 24 because 8 is 1/4th of the yoga class. 8 + 24 = 32.

If you mark all of the coordinates and draw lines to make a rectangle, then count all the units until the end of the line, the longer sides are 15 units and the shorter sides are 11 units.

The neighborhood swimming pool drains at a rate of 99 gallons every 3 hours. At this rate, how many gallons are
emptied each hour?
Helllllpppppp meeee

Answers

Answer:

33mph

Step-by-step explanation:

because if u divide 99 by 3 that is the answer

15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?

Answers

Answer:

(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79

Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml​

Answers

Answer:

525 ml

Step-by-step explanation:

12 : 175 ml

36 : x

= 175 × 36

= 6300

x = 6300/12

= 525 ml

The amount of milk that is used while baking 36 scones will be 525 mL.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.

Recipe for 12 scones:

250 g self-raising flour60 g butter30 g caster sugar175 mL milk

The amount of milk that is used while baking 36 scones will be given as,

⇒ 175 x 36 / 12

Simplify the expression, then we have

⇒ 175 x 36 / 12

⇒ 175 x 3

⇒ 525 mL

The amount of milk that is used while baking 36 scones will be 525 mL.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

what is 37737332732.83838-388733883.6 equal?

Answers

Answer:

4838388.34?

Step-by-step explanation:

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