Marsha has a map of Texas. Texas measures 3,000 miles. The map is 30 inches long. What is the scale of her map? *

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

bixtya [17]

Answer:

For this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

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

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

Step-by-step explanation:

We have the following dataset given:

$X= 43$ represent the households consisted of one person

$n= 125$ represent the sample size

$\hat p= \frac{43}{125}= 0.344$ estimated proportion of households consisted of one person

We want to test the following hypothesis:

Null hypothesis: $p \leq 0.27$

Alternative hypothesis: $p>0.27$

And for this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

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

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

5 0

2 years ago

The sum of the angle measures in a 50-gon is

KATRIN_1 [288]

Answer:

Interior: 8640°

Exterior: 360° (Every shapes' exterior angle sum is 360°)

Step-by-step explanation:

Formula: 180(Sides - 2)

180(50-2) = 180(48) = 8640

8 0

3 years ago

Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.

Rasek [7]

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4, CD = 0/-4, BC = 1, DA = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

7 0

3 years ago

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati

horsena [70]

Using linear function concepts, we have that the relationship with a slope of 0 is:

A two column table with five rows. The first column, x, has the entries, -3, -1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

A slope of 0 means that the <u>output is constant</u>, hence the relationship with a slope of 0 is:

A two column table with five rows. The first column, x, has the entries, -3, -1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

1 year ago

Larry is buying a new video game that costs $35 plus 7% sales tax. How much will he pay for the video game with tax?

Mandarinka [93]

The answer is 37.45
Explanation:
.07x35=2.45 2.45+35=37.45

6 0

2 years ago