Pregunta
A biologist uses the chi-square test to determine whether the observed distribution of 5
species matches an expected theoretical distribution. The chi-square test yields a
test
statistic of 9.488 .
What is the null hypothesis?
Select
What is the alternative hypothesis?
Select
What is the number of degrees of freedom? Ex- 5
What is the p-value? Ex 1.23 .
Does the data differ from expected distribution at the
significance level?
Select
species matches an expected theoretical distribution. The chi-square test yields a
statistic of 9.488 .
What is the null hypothesis?
Select
What is the alternative hypothesis?
Select
What is the number of degrees of freedom? Ex- 5
What is the p-value? Ex 1.23 .
Does the data differ from expected distribution at the
Select
Ask by Wood Martinez. in the United States
Dec 17,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
- Null Hypothesis (H0): The observed distribution matches the expected distribution.
- Alternative Hypothesis (H1): The observed distribution does not match the expected distribution.
- Degrees of Freedom: 4
- P-value: 0.05
- Data differs from expected distribution at
significance level: No.
Solución

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The Deep Dive
In this case, the null hypothesis states that there is no significant difference between the observed distribution of the 5 species and the expected theoretical distribution. The alternative hypothesis, on the other hand, posits that there is a significant difference between the observed and expected distributions. The degrees of freedom are calculated based on the formula
, where
is the number of categories; thus, for 5 species,
.
To find the p-value, you would refer to the chi-square distribution table or use statistical software. For a
statistic of 9.488 with 4 degrees of freedom, the p-value is typically around 0.05. Since this p-value is higher than the significance level
, we do not reject the null hypothesis, indicating the data does not differ significantly from the expected distribution. Therefore, the answer to the last question is
(no).

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