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nikklg [1K]
3 years ago
7

In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system

operated by the U.S. Postal Service (USPS). USPS would like to know whether the rate is at least 90% correct.
Required:
Do the data provide evidence that the rate is at least 90% at a 0.05?
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 =  0.9 ;       H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for  α= 0.05

We use the test statistic

z=  x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38  is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

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LenKa [72]

If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

<h3>Number of hardcover bought</h3>

Let h represent hard cover

Let p represent paperbacks

Formulate an equation

h + p= 8.......(1)

4h + 2p= 26......(2)

Multiply equation (1) by -2

-2h + -2p = -16

<u> 4h  +  2p   = 26</u>

2h  +   0p =10

2h = 10

Divide both side by 2h

h=10/2

h =5 hard covers

Paper backs

P=5-2

P=3 paper backs

Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

Learn more about Number of hardcover bought here:brainly.com/question/18306224

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6 0
1 year ago
What is 5(2 + x) = 5 ?
Alex787 [66]

5(2+x)=5

or, 10+5x=5

or, 5x= -5

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Hope it helps

8 0
3 years ago
Read 2 more answers
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horrorfan [7]

Answer:

Option A

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Step-by-step explanation:

Let us understand the problem, designating letters to represent unknown quantities.

Let the total number of roses = x

20% of the roses were red means that 20% of x = red

Since the number of red roses = 10,

we will have that 20% of x = 10

mathematically, we will have

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Answer:

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Step-by-step explanation:

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7 0
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yawa3891 [41]

Answer:

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