A hypothesis test is performed to answer the question, 'Does at least one of the explanatory variables help to predict the response variable?' Four hypotheses are given below. For... A hypothesis test is performed to answer the question, 'Does at least one of the explanatory variables help to predict the response variable?' Four hypotheses are given below. For each, determine if it’s the null hypothesis, alternative hypothesis, or neither.
Understand the Problem
The question involves interpreting results from a regression analysis of body fat percentage based on variables like body weight, height, and age. It asks for determination of the type of hypothesis for four specific claims regarding the role of various explanatory variables.
Answer
1: Null, 2: Alternative, 3: Neither, 4: Null
["1: Null hypothesis (H0).","2: Alternative hypothesis (H1).","3: Neither.","4: Null hypothesis (H0)."]
Answer for screen readers
["1: Null hypothesis (H0).","2: Alternative hypothesis (H1).","3: Neither.","4: Null hypothesis (H0)."]
More Information
In hypothesis testing, the null hypothesis (H0) often states that there is no effect, while the alternative hypothesis (H1) states that there is an effect. For multiple regression, the null hypothesis tests if all coefficients are zero.
Tips
A common mistake is confusing 'at least one' with 'all'. 'At least one' means only one or more need to be significant for the alternative hypothesis.
Sources
- Null hypothesis - Wikipedia - en.wikipedia.org
- Null and Alternative hypothesis for multiple linear regression - quant.stackexchange.com
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