Which statement is true about the population proportion of defective pieces in the 2,000 items?. . A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40 units to test for quality. The product is put through a wear-and-tear test to determine the number of days it could last. If the product has a lifespan of less than 26 days, it is considered defective. The table gives the sample data that a quality control manager collected. . . . . . 39. . 31. . 38. . 40. . 29. . . . 32. . 33. . 39. . 35. . 32. . . . 32. . 27. . 30. . 3

We know the sample of 40 has 2 defective, however, we do NOT know if that is for all 2000 items. It does not mean it will be exactly 100 units or more or less.

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ogorwyne ogorwyne · Answer 2 · 2022-06-01T17:17:22+02:00

The answer to this question is E. There is insufficient data to calculate the proportion of defective pieces for the entire items.

What is a population proportion in statistics?

This is the value that is known to be assigned to a given population from which the question is about.

In this question the given defective pieces is 2000, and the 40 of the pieces are said to have 2 defects

40* 2/40 = 2

2<5 hence we conclude on option E.

Complete question

A. 50 pieces must be defective.

B. 100 pieces must be defective.

C. More than pieces must be defective.

D. The population proportion of defective pieces must be equal to the sample proportion.

E. There is insufficient data to calculate the proportion of defective pieces for an entire items .

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