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Elena L [17]
3 years ago
7

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment

include
490

peas with

94

of them having yellow pods. Find the value of the test statistic.
Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

p = 0.25

q = 1 - p = 0.75

x = 82

n = 400

psample = x/n = 82/400 = 0.205

test statistic, z = (psample - p) / sqrt(pq/n) = (0.205 - 0.25) / sqrt(0.25×0.75/400) = -2.078

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Can someone please help me with this problem? An explanation would be great, but it can be short. Thank you!!
ss7ja [257]

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21


I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)

7 0
3 years ago
Given here are a set of sample data: 12.0, 18.3, 29.6, 14.3, and 27.8. the sample standard deviation for this data is equal to _
disa [49]
The answer is 7.9306

Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size

1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
   = 102 / 5
μ = 20.4

2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76

3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
   = 251.58 / 5-1
μ = 62.895 (this is now called sample variance)

4.) Get the square root of the sample variance:
 √62.895 = 7.9306

3 0
3 years ago
Find the surface area of the prism.<br> Please help!!
Sergio039 [100]

Answer:

308

Step-by-step explanation:

13 x 6 x 2 =

next

13 x 4 x 2 =

next

6 x 4 x 2 =

Add

 156

 104

+ 48

_____

308

me is in the pic

5 0
3 years ago
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 cent
beks73 [17]

Answer:

V= 2 times 4 times 5

4 0
3 years ago
15. Find to the nearest degree the measure of the acute angle that the graph
Vikentia [17]

Check the picture below.

make sure your calculator is in Degree mode.

7 0
3 years ago
Read 2 more answers
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