Solve the system by substitution

Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85

Lubov Fominskaja [6]

Answer:

The p value for this test is given $p_v = 0.1071$

Since the p value is higher than the significance level given of $\alpha=0.05$ we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

Step-by-step explanation:

We define the proportion of interest as p who represent the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workers

And we want to anaylze the following system of hypothesis:

Null hypothesis: $p \leq 0.85$

Alternative hypothesis: $p >0.85$

And the statistic for this test is given by:

$z =\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$

The p value can be calculated with this formula:

$p_v = P(z>z_{calc})$

And the p value for this test is given $p_v = 0.1071$

Since the p value is higher than the significance level given of $\alpha=0.05$ we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

4 0

3 years ago

8 ft Find the area of the figure. The area is square feet Help me

sweet [91]

Answer:

32

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0

3 years ago

Read 2 more answers

The sum of the ages of John and Mary is 32. Four years ago, John was twice

SpyIntel [72]

john: 56

Mary: 24

(Tbh I'm probably really wrong, I'm so sorry )

5 0

3 years ago

Read 2 more answers

Factor the polynomial by its greatest common monomial factor. 3b^5+15b^4−18b^7

Natasha2012 [34]

Answer:

Step-by-step explanation:

3b⁵ + 15b⁴ - 18b⁷ = 3b⁵ + [3*5*b⁴] - [6*3*b⁷]

=3b⁴*( b + 5 - 6b³)

3 0

3 years ago

F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x). f'(2) = f''(c) =

prisoha [69]

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

3 0

4 years ago