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pantera1 [17]
3 years ago
11

In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied w

ith the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,691 was collected on the sale of 1,147 ticket
Alex

Answer:

386- Adults 761-students

Step-by-step explanation:

4 0
3 years ago
A<br> 1200<br> b<br> 3200<br> c<br> 3680<br> d<br> 5520
anygoal [31]

Answer:

c. 3680

Step-by-step explanation:

In 2010, the population was 8000.

In 2014, it increased by 15%.

Population in 2014 :

= 8000 + 15/100×8000

= 8000 + 1200

= 9200.

Now, 2/5 of the population was age 12 or under.

= 2/5 × 9200

= 2×1840

= 3680

Answer - c) 3680

3 0
3 years ago
Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3
Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

4x^2- 8x = 3

The general form of a quadratic equation is given as:

ax^2 + bx +c = 0

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0
3 years ago
Caleb throws a ball three times for his dog Leo. For each throw, Leo either
Debora [2.8K]
The one that makes the most sense is C
6 0
3 years ago
Read 2 more answers
Betty is making 6 skirts. Each skirt uses 2/3 of a yard. How many yards does she need?
AysviL [449]

Answer:

She needs 4 yards.

Step-by-step explanation:

To multiply fractions, you just multiply the whole number by the numerator of the fraction.

<em>The numerator is the top number of a fraction.</em>

<em>The denominator is the bottom number of a fraction.</em>

You can think of the whole number 6 as the fraction 6/1.

<h3>Step 1</h3>

Multiply 6/1 by 2/3

6x2=12

1x3=3

So, 6/1x2/3=<u>12/3</u>

<u></u>

<h3>Step 2</h3>

Now you need to simplify the fraction

Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.

12÷3=4

<h2>So betty needs 4 yards of fabric to make 6 skirts.</h2>

8 0
3 years ago
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