A sample of size 30 was taken from a very large population in order to estimate a proportion, p. The sample was found to have a proportion of p = 0.2. How many successes were found in this sample?  Can we use the apply the normal distribution to estimate pp in this situation? Yes, the Z-normal distribution may be used. No, the Z-normal distribution may not be used. Why or why not? The sample size is less than 5% of the population size. The number of successes or number of failures is less than 10. The sample size is at least 5% of the population size. The number of successes and number of failures is at least 10. The sample size is at least 30.

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Author:Amos Gilat
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A sample of size 30 was taken from a very large population in order to estimate a proportion, p. The sample was found to have a proportion of p = 0.2.

How many successes were found in this sample? 

Can we use the apply the normal distribution to estimate pp in this situation?

  • Yes, the Z-normal distribution may be used.
  • No, the Z-normal distribution may not be used.



Why or why not?

  • The sample size is less than 5% of the population size.
  • The number of successes or number of failures is less than 10.
  • The sample size is at least 5% of the population size.
  • The number of successes and number of failures is at least 10.
  • The sample size is at least 30.
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