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vfiekz [6]
2 years ago
15

In a recent survey, 72 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries.

If there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size is about .03. Because .03 is less than .05, we can conclude that there is a statistically significant difference in preference. Give a numerical value for each of the following.
(a) The p-value.
(b) The level of significance, α.
(c) The sample proportion.
(d) The sample size.
(e) The null value.
Mathematics
1 answer:
kupik [55]2 years ago
3 0

Answer:

a) P=0.03

b) α=0.05

c) 0.72

d) 100

e) 0.72

Step-by-step explanation:

a) The P-value is the probability of the sample result. In this case the P-value is 0.03.

b) The level of significance is the threshold of probabilty for the null hypothesis to be reejcted or not. It is contrasted with the P-value to know if the effect is significant. In this case, the level of significance is 0.05.

NOTE: if it is a two-side test, the level of significance is 0.1 (two times 0.05).

c) The sample proportion is the one that results from the sample data. In this case, the sample proportion is 0.72.

p=72/100=0.72

d) The sample size is the amount of consumers reported. In this case is 100 customers.

e) The null value is 0.72 (equal to the sample proportion), because it is tested if there is no difference between the population proportion and the sample proportion.

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Here’s your definition

3 0
3 years ago
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
kumpel [21]

Answer:

Width is 25 ft

length is 60 ft

Step-by-step explanation:

Here, we want to calculate the length and width of the garden

From the question, we are told that the length is 10 ft more than twice its width

So if the width is x ft

Length = 2x + 10

Mathematically, the perimeter of a rectangle i s 2(l + b)

So;

2(x + 2x + 10) = 170

2(3x + 10) = 170

3x + 10 = 85

3x = 85-10

3x = 75

x = 75/3

x = 25 ft

length is;

2(25) + 10 = 50 + 10 = 60 ft

8 0
3 years ago
If sammmy has 5 alligators biting and each have 100 hunred teeth how many bite marks would he have?
posledela
Hello!

We are given that each of the 5 alligators has 100 teeth. We can use the following equation to find the total number of teeth and, by extension, the total number of bite marks:

(100 teeth) × (5 alligators) = 500 teeth

We have now proven that the 5 alligators have a combined total of 500 teeth. Consequently, Sammy will have 500 bite marks.

I hope this helps!

3 0
2 years ago
A seagull is 12 feet above the surface of the ocean. A fish is 3 feet below the surface of the water. How far apart are the seag
lara31 [8.8K]

Answer:

15

Step-by-step explanation:

12+3=15

4 0
2 years ago
PLZ HELP ASAP (10 points)
Korolek [52]

Answer:

<DAB= 98

Step-by-step explanation:

Remark

I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).

Equation

2x + 36 = 3x - 5                    Add 5 to both sides

2x + 36 + 5 = 3x  - 5 + 5      Combine

2x + 41 = 3x                          Subtract 2x from both sides

2x - 2x + 41 = 3x - 2x           Combine

41 = x

Answer

<DAB = 2x + 36

<DAB = 2*41 + 36

<DAB = 82 + 36

<DAB = 98


8 0
3 years ago
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