BSNS102 3
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Confidence Interval for : One Proportion
Conditions:
 (Binomial conditions)
 2 possible outcomes
 Fixed number of trials
 Constant probability of success
 Independant trials
 (Assumptions)
 Random sample
 Greater than or equal to 5

Confidence Interval for: One Mean
Conditions:
 (Binomial conditions)
 2 possible outcomes
 Fixed number of trials
 Constant probability of success
 Independant trials
 (Assumptions)
 Random sample
 Greater than or equal to 5

Confidence Intervals for: Difference in Two Proportions
Conditions:
 2 independant random samples
 Normal approximation to the binomial holds  more than 5, both samples large

Z test for differences in two means
(Variences Known)
Conditions:
 Two independant random samples
 If sample sizes are small, samples are drawn from normal populations
 Population variances are known

t test for difference in two means
(Variances unknown)
Conditions:
 Both populations are normally distributed
 Two independant random samples
 Population variances are unknown
 If either population is not normal, need large sample sizes to appeal to CLT

What is P value?
A p value is the probability of getting a test statisitic at least as extreme as the test statisitic from the sample given that the null hypothesis is true

What does the test statistic measure?
The test statisitic measures the number of standard errors that the sample statistic is away from the value of the population parameter in the null hypothesis