S2 Binomial Distribution
You can use the Binomial distribution to calculate probabilities
• There is a fixed number of trials
• Each trial should result in success or failure
• Trials are independent
• Probability is constant
X ~ B(n,p) n=number of trials
p= probability of success
S2 Hypothesis Testing
An hypothesis is a statement made about the value of a population parameter that we wish to test by collecting evidence in the form of a sample.
In a statistical hypothesis test the evidence comes from a sample which is summarized in the form of a statistic called the test statistic.
We form two Hypotheses:
- The null hypothesis, H0, we assume to be correct unless proven otherwise.
- The alternative hypothesis, H1, tells us about the population parameter if our assumption is shown to be wrong.
The critical region is the range of values that lead to a rejection of the null hypothesis.
One tailed test - looks for an increase or decrease in the value.
Two tailed test.
Two critical values