A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Answer:

The chi-square goodness-of-fit test is best used with categorical variables.  The trees in the forest are not categorical variables but numerical.

Step-by-step explanation:

The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution.  The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.

Answer:

A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.

Step-by-step explanation:

   The answer is the explanation. Got it from CollegeBoard.org

Answer:

8 quarts and 1 pint

Step-by-step explanation:

there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over

Answer:

x = 8.66

y = 5

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

Learn more about perimeter of rectangle click :

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Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

Answer:

.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation

Answer:

1/6 or 16.666%

Step-by-step explanation:

8/48 and there is your answer.

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

Answer:the answer u put is correct

Step-by-step explanation:

Answer:

486 square inches

Step-by-step explanation:

Answer: 53.79

Step-by-step explanation:

Step-by-step explanation:

A(t)=P(e^(rt))

Insert the values as follows:

The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

34820=P(e^((.78)(5)))

34830=P(49.4024)

704.82335

Hope that helps :)

Answer:

whats the question? theres no context other than that little bit

Answer:

The fence is 40 feet long.

Step-by-step explanation:

I suppose the question is "What is the length of the entire fence?"

Formula

3/8 x = 15                     Multiply both sides by 8

8*(3/8)x = 15*8             Cancel

3x = 120                       Divide by 3

3x/3 = 120/3

x = 40

Answer:

$22.50

Step-by-step explanation:

Answer:

a = 6.7m is the answer.

Step-by-step explanation:

a = ?

b = 6m

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

a² + 6² = 9²

a² + 36 = 81

a² = 81 - 36

a² = 45

a = 6.708

round to the nearest tenth,

a = 6.7m

∴ Janice is 6.7m high up in the air.

Answer:

i think B

Step-by-step explanation:

The boy scored:

500 x 80% = 400 (marks)

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Answer:

The answer is below. I hope this is the answer your looking for.

Step-by-step explanation:

Answer:

27°C

Step-by-step explanation:

Average temperature on 4 days

[tex] = \frac{total \: temperatures \: for \: 4 \: days}{4} [/tex]

Total temperatures for 4 days

= 4(22)

= 88

If the average temperature throughout 5 days is 23°,

total temperature for 5 days

= 5(23)

= 115

Temperature on the 5th day

= total temperatures for 5 days -total temperature for 4 days

= 115 -88

= 27°C

Answer:

Parallel, I think ||

Step-by-step explanation:

■■■■■■■

Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.  

Answer:

A: x=16

B: ∠A=22

Step-by-step explanation:

A

The angles in a triangle always add up to 180. Therefore:

∠A+∠B+∠C=180

(2x-10)+(3x)+(4x+46)=180

2x+3x+4x+46-10=180

9x=180-36

x=144/9

x=16

B

∠A=2x-10

∠A=2(16)-10

∠A=32-10

∠A=22

Answer:hold up

Step-by-step explanation:

Let's find the area of the equilateral triangle first:

There are two triangles - one on each end. So we multiply our previous expression by 2.

Each rectangle is 75 millimeters long and 9 millimeters wide: 75*9 mm^2.

We have 3 rectangles each the same size so we multiply 75*9 by 3.

75*9*3 = 2025

2025 + 70.2 = 2095.2

Answer:

The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"

Step-by-step explanation:

In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:  

[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]

Answer:

d

Step-by-step explanation:

it would be a parabola not linear

[tex]n + 4 = 12[/tex]

Subtract sides minus 4

[tex]n + 4 - 4 = 12 - 4[/tex]

[tex]n = 8[/tex]

Answer:

1,296 students attended the fall play.

Step-by-step explanation:

Let the amount of students = s

Let the amount of adults = a

Three times the adults: 3a

150 fewer than three times the adults:3a-150

amount of students = 150 fewer than three times the adults: s=3a-150

We also know that a+s=1778. Let's sub in the value for s that we got above:

a+s=1778

a+3a-150=1778

4a=1928

a=482

a+s=1778

482+s=1778

s=1296

Answer: 226

Step-by-step explanation:

arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)

so arc ZWX is 180+46=226