Sampling Distribution of the Sample Proportion
Assumptions: a) n ≤ 0.05N b) np(1 - p) ≥ 10.
Examples:
Input the following values:
n = Sample Size of Sample To Be Drawn from Underlying Population =
p = Population Proportion =
If one simple random of size
n
is drawn and sample proportion (x̅) is calculated, find:
Select an Option:
Select an Option
Case 2: Find P(p̂ < a) probability p̂ is less than (or fewer) some given value
Case 3: Find P(p̂ ≤ a) probability p̂ is less than or equal ('at most') to some given value
Case 4: Find P(p̂ > a) probability p̂ is greater than (or more than) some given value
Case 5: Find P(p̂ ≥ a) probability p̂ is geater than or equal ('at least') to some given value
Case 6: Find P(a ≤ p̂ ≤ b) probability p̂ is between two given values (inclusive)
Case 7: Find P(a < p̂ < b) probability p̂ is between two given values (strictly between)
Case 8: Find P(a < p̂ ≤ b) probability p̂ is between two given values (semi strictly between)
Case 9: Find P(a ≤ p̂ < b) probability p̂ is between two given values (semi strictly between)
Note: p̂ = x/n Use the following if problem involves x = number of successes.
Case 10: Find P(x < a) probability x is less than (or fewer) some given value
Case 11: Find P(x ≤ a) probability x is less than or equal ('at most') to some given value
Case 12: Find P(x > a) probability x is greater than (or more than) some given value
Case 13: Find P(x ≥ a) probability x is geater than or equal ('at least') to some given value
Case 14: Find P(a ≤ x ≤ b) probability x is between two given values (inclusive)
Case 15: Find P(a < x < b) probability x is between two given values (strictly between)
or
Find μ
p̂
and σ
p̂
only