Normal approximation to conduct a valid large sample


For the binomial sample sizes and null-hypothesized values of p in each part, determine whether the sample size is large enough to meet the reuquired conditions for using the normal approximation to conduct a valid large sample hypthesis test of the null hypothesis H0: p=p0. Complete parts 1 - 5:

1) n = 493, p0 = 0.05

a) the sample size is not large enough to use the normal approximation.

b) the sample size is large enough to use the normal approximation.

2) n=100, p0 = 0.99

a) The sample size is large enough to use the normal approximation.

b) The sample size is not large enough to use the normal approximation.

3) n=46, p0 = 0.2

a) The sample size is large enough to use the normal approximation.

b) The sample size is not large enough to use the normal approximation.

4) n=20, p0 = 0.2

a) The sample size is large enough to use the normal approximation.

b) The sample size is not large enough to use the normal approximation.

5) n=7, p0 = 0.4

a) The sample size is large enough to use the normal approximation.

b) The sample size is not large enough to use the normal approximation.

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Basic Statistics: Normal approximation to conduct a valid large sample
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