Ask question

Ask question

All categories

3 years ago

7

A test of hypothesis is conducted to determine whether annual income and education level are independent. It is determined that

the value of test statistic is 24.32 and the critical value of test statistics is 13.32. What specific conclusion can we draw about annual income and education level

1 answer:

kramer3 years ago

5 0

Answer: We concluded that annual income and education level are not independent.

Step-by-step explanation:

For the given situation, the null and alternate hypothesis can be formulated as:

$H_0:$ annual income and education level are independent.

$H_a:$ annual income and education level are not independent.

Given, the value of test statistic is 24.32 and the critical value of test statistics is 13.32.

i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.

Therefore, we reject null hypothesis .

So , we concluded that annual income and education level are not independent.

You might be interested in

aleksandr82 [10.1K]

Answer: 20 strawberries

1 litre of orange juice

500ml yogurt

2

Step-by-step explanation:

Based on the recipe, the average for 1 smoothie, we need buy 5 strawberries, 1/4 litre of orange juice, 125ml yogurt, 1/2 banana

Thus, for 4 smoothies, we need the average quantity for 1 smoothie multi with 4

- 5*4 = 20 strawberries

- 1/4 litre *4 = 1 litre of orange juice

- 125ml yogurt * 4 = 500ml yogurt

-1/2 of banana * 4= 2 banan

3 0

3 years ago

Similar right triangle

adoni [48]

Answer: 6.25

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

$\frac{x}{2.5}=\frac{6+4}{4}\\\\x=2.5\left(\frac{6+4}{4} \right)=\boxed{6.25}$

3 0

2 years ago

Indica si el número es primo o compuesto?

Flura [38]

todos los numeros primos son: 2,3,5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 y 97.

y los otros numeros que no mencione son conpuestos.

3 0

3 years ago

Can anyone turn 3.25x+6.50y=520 into slope intercept form? pls!

Lynna [10]

Answer:

y=-1/2x+80

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago