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Elenna [48]
3 years ago
7

Two plus ten times eight

Mathematics
1 answer:
alexdok [17]3 years ago
3 0
Two plus ten times eight
(2+10)*8 = 96
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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
Read 2 more answers
How many terms are in the polynomial abcd + e-n2?<br>two<br>three<br>five<br>six​
ELEN [110]

Answer: There are 3 terms

Step-by-step explanation: You count the abcd as 1 term because it is all multiplied together, the e term is counted as another term, so there are 2 terms, and the n2 term is counted as a term getting you 3 terms in total.

3 0
3 years ago
The actual distance between the two houses is 44.1ft. The contractor measures the distance as 46ft. Find the relative error of t
mixer [17]
The correct answer is: 44.1ft - 46ft = -1.9ft/44.1ft = .043% relative error. Please mark Brainliest if helpful
6 0
2 years ago
Two factors multiply to give you -48 and have a sum of -13. What are the factors? *
Kobotan [32]

Answer:

The corrrect answer is -16 and +3

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3 years ago
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Line segments A prime B prime and A B. The distance from the center of dilation P to A prime is 3. The distance from P to A is 5
OverLord2011 [107]
The answer is P to A prime is 3 I think

Good luck!
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2 years ago
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