Describe how to write the null and alternative hypotheses based on a.pdf

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Describe how to use the absolute value property to solve |2x-5|=3? Solution The absolute value property that help us to solve the problem is: |x| = a if and only if x = a or x = -a. According to this property, we\'ll solve the equation, putting what\'s inside module 2x - 5 and a = 3. We\'ll discuss 2 cases: 1) 2x - 5 = 3 2x = 5 + 3 2x = 8 x = 4 2) 2x - 5 = -3 2x = 2 x = 1 Since both values are admissible, we\'ll accept them as solutions of equation: {1 ; 4}..

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Describe how to write the null and alternative hypotheses based on a claim. You may give an
example to clarify your explanation.
Solution
Set up H0 and H1 and Label the Claim: ((See “Tail Types…” right)) Note: Always
use the statement of equality ("=") in Ho, regardless of circumstances. a) The Null Hypothesis
Ho: Always use the statement of equality ("="), either directly or implied, in the NULL
Hypothesis Ho. b) The Alternate hypothesis H1: Always use "<",">" or "?" in H1. c) Some
Special cases: i) If the claim is equality, H0 uses "=" and H1 uses "?". ii) If the problem
statement contains = (such as “at least”), use “<” in the alternate hypothesis (< is the opposite of
=). Still use “=” in the null hypothesis. iii) If the problem statement contains = (such as “at
most”), use “>” in the alternate hypothesis (> is the opposite of =). Still use “=” in the null
hypothesis. d) The Claim: The problem statement should contain the intended claim (if not, use
the Alternate Hypothesis, H1, as the claim). Label Ho or H1 as the claim since it is needed for
the final conclusion

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