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vfiekz [6]
3 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]3 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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The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?
Elza [17]

Answer:

20 feet wide, 24 feet long

Step-by-step explanation:

Let x - width, y - length.

The perimeter is given by the formula:

P = 2*(width + length) or using x, y

P = 2*(x + y) = 88

x + y = 44

And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

x = 5y/6

Plug this in the first expression:

y + 5y/6 = 44. Muliply by 6

6y + 5y = 264

11y = 264

y = 264/11 = 24.

So x = 5(24)/6  = 20

7 0
3 years ago
2.please I need help
Anarel [89]

9514 1404 393

Answer:

  1. 48°
  2. 60°
  3. 72°

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

7 0
3 years ago
Daniel mixes 60 ounces of water with 15 ounces of lemonade mix what is the ratio of water to lemonade mix in simplest form
Firlakuza [10]
The answer in simplest form is 4 to 1.
8 0
3 years ago
Read 2 more answers
Given the arithmetic sequence where a1 = -5 and d = 6, what is a5? Completing these tests is what determines whether or not i gr
Taya2010 [7]
Since the first term is -5 and the difference is 6 so a2=1,a3=7,a4=13,a5=19. Hope that helped. if you have any questions regarding how I got the values, feel free to ask. :')
4 0
3 years ago
Factor 1 and 2. You do NOT need to show or explain steps for 1-2.
kogti [31]

Answer:

Step-by-step explanation:

x² + 9x + 18 = x² + 6x + 3x + 18

                   = x(x + 6) + 3(x + 6)

                   = (x + 3)(x + 6)

x² + 16x + 63 = x² + 9x + 7x + 63

                     = x(x + 9) + 7( x+ 9)

                     = (x + 7)(x + 9)

y² + 13y + 36 = y²+ 9y + 4y + 36

                     = y(y + 9) + 4(y + 9)

                     = (y + 4)(y + 9)

(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).

Therefore, Lyndsey's answer is wrong.

(b). Factors are (y + 4) and (y + 9).

(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).

8 0
3 years ago
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