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