The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

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

(x-2) / (x-4) = (-2) / (x-1)

rodikova [14]

Answer:

X=5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x

2

=

10

2

x=5

Answer:

x=5

8 0

3 years ago