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2 years ago

3. If Alex ran for ASB president out of 200 students

Mathematics

1 answer:

nexus9112 [7]2 years ago

4 0

200/140 gives you 1.4% and 1.4% is 0.014 people voted out of 200 students

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

The model includes a new park in the center of the city. If the dimensions of the

11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0

2 years ago

Which of the following describes the algebraic expression 5(x+2)-3

Pavel [41]

5X+7 is the correct answer

3 0

2 years ago

Which of the following equations has both 1 and −3 as solutions?

soldi70 [24.7K]

The answer is B)

x2+2x−3=0

Factor left side of equation.

(x−1)(x+3)=0

Set factors equal to 0.

x−1=0 or x+3=0

x=1

or

x=−3

5 0

2 years ago

Read 2 more answers

Brooke is reading a 379-page book. She has already read 54 pages, and she can read 28 pages in an hour. If h represents the numb

Dafna1 [17]

Answer:

28x + 54 = 379 is what I came up with, though it would help to see the choises you have to select from if there are any.

Step-by-step explanation:

28 = the pages she reads in 1 hours.

x = how many hours it would take to finish the book.

54 = the amount of pages she's already read.

379 = the full amount of pages she needs to read to finish the book.

3 0

2 years ago