Which of the following are the correct statements of the null and alternative hypotheses, Ho and HA, where p is "rho", the population correlation coefficient between X and Y? HO: p = 0 and HA: p = 0 HO: p +1.0 and HA: p = +1.0 HO:p> 0 and HA: p ≤ 0 HO: p = 0 and HA: p > 0 HO: p= 0 and HA: p = 0.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Assume you are a psychologist studying the relationship between chocolate consumption and happiness. You ask 10 participants to rate how much chocolate (in ounces) they ate in the last week, and how happy they felt throughout the week on the average, on a scale ranging from 1 (extremely unhappy) to 10 (extremely happy). You hypothesize that there is some relationship between chocolate consumption and happiness. Here are their scores:

| Participant # | Chocolate eaten during week (oz) | Happiness rating |
|---------------|-----------------------------------|------------------|
| 1             | 5                                 | 3                |
| 2             | 6                                 | 9                |
| 3             | 3                                 | 7                |
| 4             | 7                                 | 6                |
| 5             | 4                                 | 4                |
| 6             | 6                                 | 8                |

This data could be used to analyze whether there is a correlation between chocolate intake and reported happiness levels.
Transcribed Image Text:Assume you are a psychologist studying the relationship between chocolate consumption and happiness. You ask 10 participants to rate how much chocolate (in ounces) they ate in the last week, and how happy they felt throughout the week on the average, on a scale ranging from 1 (extremely unhappy) to 10 (extremely happy). You hypothesize that there is some relationship between chocolate consumption and happiness. Here are their scores: | Participant # | Chocolate eaten during week (oz) | Happiness rating | |---------------|-----------------------------------|------------------| | 1 | 5 | 3 | | 2 | 6 | 9 | | 3 | 3 | 7 | | 4 | 7 | 6 | | 5 | 4 | 4 | | 6 | 6 | 8 | This data could be used to analyze whether there is a correlation between chocolate intake and reported happiness levels.
The image displays a table with two columns of numbers, followed by a multiple-choice question about statistical hypotheses.

Data Table:
- Column 1: 7, 8, 9, 10
- Column 2: 10, 6, 2, 1

Multiple-Choice Question:
"Which of the following are the correct statements of the null and alternative hypotheses, H₀ and Hₐ, where ρ is 'rho', the population correlation coefficient between X and Y?"

Options:
- ○ H₀: ρ = 0 and Hₐ: ρ ≠ 0
- ○ H₀: ρ ≠ +1.0 and Hₐ: ρ = +1.0
- ○ H₀: ρ > 0 and Hₐ: ρ ≤ 0
- ○ H₀: ρ ≤ 0 and Hₐ: ρ > 0
- ○ H₀: ρ ≠ 0 and Hₐ: ρ = 0

There are no graphs or diagrams included.
Transcribed Image Text:The image displays a table with two columns of numbers, followed by a multiple-choice question about statistical hypotheses. Data Table: - Column 1: 7, 8, 9, 10 - Column 2: 10, 6, 2, 1 Multiple-Choice Question: "Which of the following are the correct statements of the null and alternative hypotheses, H₀ and Hₐ, where ρ is 'rho', the population correlation coefficient between X and Y?" Options: - ○ H₀: ρ = 0 and Hₐ: ρ ≠ 0 - ○ H₀: ρ ≠ +1.0 and Hₐ: ρ = +1.0 - ○ H₀: ρ > 0 and Hₐ: ρ ≤ 0 - ○ H₀: ρ ≤ 0 and Hₐ: ρ > 0 - ○ H₀: ρ ≠ 0 and Hₐ: ρ = 0 There are no graphs or diagrams included.
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