1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
14

A researcher has two percentages and wants to know if the percentages are statistically different. The researcher calculates the

z value and finds that it is 4.21. This means that the two percentages: A) Are the same. B) Are not statistically different. C) Have a 421 percent chance of not being different. D) Are statistically different.
Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

D) Are statistically different.

Step-by-step explanation:

The system of hypothesis on this case are:  

Null hypothesis: \mu_1 = \mu_2  

Alternative hypothesis: \mu_1 \neq \mu_2  

Or equivalently:  

Null hypothesis: \mu_1 - \mu_2 = 0  

Alternative hypothesis: \mu_1 -\mu_2\neq 0  

Where \mu_1 and \mu_2 represent the percentages that we want to test on this case.

The statistic calculated is on this case was Z=4.21. Since we are conducting a two tailed test the p value can be founded on this way.

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

And the best option on this case would be:

 D) Are statistically different.

You might be interested in
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation
SOVA2 [1]
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.

y=9(1) 
y=9

11-9=2

Part B:
y=9(6)
y=54

11x6=66

66-54=12

Luke saves $12 each month if he buys 6 boxes of the super-saving brand. 
4 0
3 years ago
Read 2 more answers
Find the perimeter and area. (plz help with the answer)
ikadub [295]

Hello!

PERIMETER:

To find the perimeter of the trapezoid, simply add all sides together.

15 + 5 + 9 + 5 = 34

The perimeter is \boxed{ \bf 34~units.}

____________________________________________________________

AREA:

A = \frac{1}{2} h(b_{1} + b_{2})

A = \frac{1}{2} 4(9 + 15)

A = \frac{1}{2} 4(24)

A = 2(24)

A = 48

The area of the trapezoid is \boxed{ \bf 48~units^2}

5 0
3 years ago
Make sure to pick ALL
goldfiish [28.3K]

Answer:

a is 2x+2x and 4x

b is 6(7y-4) and 6*7y-6*4

6 0
3 years ago
Stacked cups are to be placed in a pantry. one cup is 3.25 in high
olasank [31]
Whats the rest of the question?
6 0
3 years ago
Write 72,312 in standard form
Lapatulllka [165]
Seventy- two thousand three hundred twelve
5 0
3 years ago
Other questions:
  • Ethan invested £500 in the bank for 2 years. he earned £40 simple interest in total. what was the simple interest rate per annum
    9·2 answers
  • Please help asapp!!!!!!!!!!!!!
    13·1 answer
  • Helppppppppppppppppppppppppp[
    15·1 answer
  • A store donated cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many c
    7·1 answer
  • The length of one leg of a right triangle is 48 ft, and the length of the hypotenuse is 50 ft. What is the length of the other l
    6·2 answers
  • Please help thx ______________
    8·2 answers
  • Find the value of x in the triangle in the picture.
    14·2 answers
  • Help!What does 5x+(-8)= ?
    14·1 answer
  • Answers? <br> domain and range of graphs
    6·1 answer
  • 2.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!