Null hypothesis and alternative hypothesis
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- Hypothesis Testing is the method of testing whether or not a claim is valid
Two types of claims:
• Proportions: Data given by percentages, %
• Means: given by data measurements,
Null Hypothesis :
The result that is hoped to be proven false. It is a single parameter.
Given by: ""
Alternative Hypothesis :
The result that is hoped to be true. It is a wide range of parameters, where the truth of this hypothesis is tested based off the verity of the Null Hypothesis.
Given by: "< , >, "
- Intuitively Judging Validity of Claims
You meet a woman on the street who says she has Extra Sensory Perception (ESP) and can predict the probability of dice rolls with 70% probability. To test this you roll the die 90 times, and see how many times she "guesses" correctly.
- Determining Claims
What were the Null Hypothesis and the Alternative Hypothesis from the previous question?
- Which claims are Null Hypotheses and which claims are Alternative Hypotheses?
- For each of the following claims:
i) State whether each claim refers to proportions or means.
ii) Identify which claims are and which claims are .
iii) Form the following claims into mathematical statements.