100 pieces space defective based on statistics, but you cannot be sure unless you go througj all of them.

You are watching: Which statement is true about the population proportion of defective pieces in the 2,000 items?

B. 100 pieces need to be defective.

Step-by-step explanation:

Let"s calculate a projection of how plenty of defective products we should have actually in a production of 2,000 devices a day, based upon the top quality sample that 40 systems provided.

So, we have actually 40 units sampled, out of those 40, 2 units are defective.

We"ll assume the sampling is representative of the overall quality of the production.

How much bigger is the day-to-day production (2,000) contrasted to the sampling (40)? 2,000 / 40 = 50.

So, the production is 50 times bigger than the sample.

Since we uncovered 2 defective systems in the sampling, we might assume 100 (2 x 50) defective devices in the day-to-day production the 2,000.

Although i would change "must" through "should" in the wording that the answer, since we cannot be certain it will certainly be specifically 100, can be 97 or 101.

Answer from: live4dramaoy0yf9

It"s 100

Because You multiply the sample proportion to 2000

Answer from: nmoareah

Option b is the exactly answer.

b) 100 pieces need to be defective.

Step-by-step explanation:

The table shows the data that the variety of days the 40 devices of item would last,

39 31 38 40 29

32 33 39 35 32

32 27 30 31 27

30 29 34 36 25

30 32 38 35 40

29 32 31 26 26

32 26 30 40 32

39 37 25 29 34

Also, If the product has actually a expectancy of much less than 26 days, that is thought about defective.

So, the number of items which are defective the end of 40 items are: 2

Hence, the proportion of items that room defective out of 40 items are:


Hence, the variety of defective items the end of 2000 items are:


Hence, variety of defective items out of 2000 are: 100

Hence, option a), c) and e) are incorrect.

Also, the populace proportion that defective item is:


and sample ratio is:


as both room not equal.

Hence alternative d) is incorrect.

Answer from: sissygirl0807

The best answer is: there is insufficient data to calculate the proportion of defective pieces.

Step-by-step explanation:

We understand the sample that 40 has actually 2 defective, however, we perform NOT know if the is for every 2000 items. It does not median it will certainly be specifically 100 systems or an ext or less.

Answer from: jessejames48
The prize is 100 defective units.
Answer from: afridi5250
The answer friend are in search of is E
Answer from: janeou17xn
Yep ns gotta speak 100

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