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amm1812
3 years ago
7

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

ntraocular lenses used in the human eye following cataract surgery. 300 lenses were tumble-polished using the first polishing solution, and of this number, 249 had no polishing-induced defects. Another 300 lenses were tumble-polished using the second polishing solution, and 196 lenses were satisfactory upon completion. Is there any reason to believe that the two polishing solutions differ? Use α = 0.01. What is the P-value for this test? There significant difference in the proportion of polishing-induced defects produced by the two polishing solutions at the 0.01 level of significance. The P-value is . Round your answer to three decimal places (e.g. 98.765).

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

p-value: 1.000

There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.

Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

H0:  p1 - p2=0

Ha:  p1 - p2  ≠0

(p1 ) = 252/300 = 0.84

(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%.  So our critical values are:  z > 2.575  and z < -2.575

See the attached photo for the calculations for this test

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Question 2 (1 point)
nikdorinn [45]

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Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

6 0
3 years ago
-5(x+1)+3x=6-(4x-3) solve for x
PilotLPTM [1.2K]

Answer: x = -3

Step-by-step explanation:Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -x - 3  =   -1 • (x + 3)  

Equation at the end of step  1  :

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    -x-3 = 0  

Add  3  to both sides of the equation :  

                     -x = 3  

Multiply both sides of the equation by (-1) :  x = -3  

One solution was found :

                  x = -3

7 0
3 years ago
Find the equation of the line shown.
vfiekz [6]

Answer:

y=x+6

Step-by-step explanation:

3 0
2 years ago
A plumber charges 130 to start job plus 56 per hour . How many hours did she work if the total bill is 214
iragen [17]

Answer:

The plumber worked for 1.5 hours

Step-by-step explanation:

y = 130 + 56x

Substitute 214 for y in the equation

214 = 130 + 56x

-130   -130                      Subtract 130 from both sides

84 = 56x                         Divide both sides by 56

1.5 = x

4 0
3 years ago
Read 2 more answers
Does the following relationship represent a function x = y -1
forsale [732]
No because In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y,
7 0
3 years ago
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