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
s2008m [1.1K]
3 years ago
12

Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

You might be interested in
How to know if a number is proportional
Dafna1 [17]

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!

:

7 0
3 years ago
1/3 of 90 = 2/3 of ?
rewona [7]
Answer=45
1/3 of 90= 30
5 0
3 years ago
In general, the y intercept of the function F(x)= a•b^x is the point
serg [7]

The y intercept of this function is always (0, a).


This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.


F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a


And for an example with a random number, we'll use a = 5 and b = 3


F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5


No matter what a and b equal, the intercept will be the a value.

4 0
3 years ago
Consider this sphere with a diameter of 5 m.
abruzzese [7]

Answer: only C and E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the x intercept and y intercept of the graph of 5x+8y=20
Arada [10]

Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A solid lies between planes perpendicular to the x-axis at x=0 and x=19. The cross sections perpendicular to the x-axis on the i
    6·1 answer
  • Convert the cartesian equation x2 +y2=16 to a polar equation
    5·1 answer
  • What is the equation to a graph with the vertex -1,3 and zeros -4 and -2
    9·1 answer
  • Simplify this expression
    7·1 answer
  • Please does anyone know how to factorize x(x - 1) + 3x
    10·1 answer
  • PLEASE HELP!!<br><br> Find the area
    9·1 answer
  • Find volume <br>litre = 5 cm and <br> 3 cm and 6 cm​
    9·1 answer
  • Find the circumference use 3.14 for the value of
    15·1 answer
  • The area of a rectangle has decreased by 2%.
    15·1 answer
  • 1. Order each set of numbers from least to greatest.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!