In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p.

a. n = 10 and H0: p = 0.4.

b. n = 100 and H0: p = 0.6.

c. n = 1000 and H0: p = 0.996.

d. n = 500 and H0: p = 0.3.

Question

Mathematics

Broderick

3 May, 13:07

In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p.

a. n = 10 and H0: p = 0.4.

b. n = 100 and H0: p = 0.6.

c. n = 1000 and H0: p = 0.996.

d. n = 500 and H0: p = 0.3.

+3

Answers (1)

Know the Answer?

Yareli Stuart · Answer 1

The normal approximation to a binomial can be used for a significance test on the population proportion p if np > 15.

a. n = 10 and H0: p = 0.4. = > np = 10 (0.4) = 4 [can not be used]

b. n = 100 and H0: p = 0.6. = > np = 100 (0.6) = 60 [can be used]

c. n = 1000 and H0: p = 0.996. = > np = 1000 (0.996) = 996 [can be used]

d. n = 500 and H0: p = 0.3. = > np = 500 (0.3) = 150 [can be used0

In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p.a. n = 10 and H0: p = 0.4.b. n = 100 and H0: p = 0.6.c. n = 1000 and H0: p = 0.996.d. n = 500 and H0: p = 0.3.

In each of the following cases state whether or not the normal approximation to the binomial should be used for a significance test on the population proportion p.

a. n = 10 and H0: p = 0.4.

b. n = 100 and H0: p = 0.6.

c. n = 1000 and H0: p = 0.996.

d. n = 500 and H0: p = 0.3.