Researchers are trying to determine if the prevalence of CVD is different in smokers compared to nonsmokers. With this dichotomous outcome, what would be the appropriate hypothesis test to use?

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Researchers are trying to determine if the prevalence of CVD is different in smokers compared to nonsmokers. With this dichotomous outcome, what would be the appropriate hypothesis test to use?

1. \( H_0: p_1 = p_{10}, p_2 = p_{20}, \ldots, p_k = p_{k0} \)
   \( H_1: H_0 \) is false 
   (where \( p \) = proportion of participants in a specific category)

2. \( H_0: m_1 = m_2 \)
   \( H_1: m_1 > m_2, m_1 < m_2, \text{ or } m_1 \neq m_2 \)
   (where \( m \) = mean)

3. \( H_0: m_d = 0 \)
   \( H_1: m_d \neq 0 \)
   (\( m \) = mean)

4. \( H_0: p_1 = p_2 \)
   \( H_1: p_1 > p_2, p_1 < p_2, \text{ or } p_1 \neq p_2 \)

5. \( H_0: m_1 = m_2 = m_3 \ldots = m_k \)
   \( H_1: \) Means are not all equal 
   (where \( m \) = mean)
Transcribed Image Text:Researchers are trying to determine if the prevalence of CVD is different in smokers compared to nonsmokers. With this dichotomous outcome, what would be the appropriate hypothesis test to use? 1. \( H_0: p_1 = p_{10}, p_2 = p_{20}, \ldots, p_k = p_{k0} \) \( H_1: H_0 \) is false (where \( p \) = proportion of participants in a specific category) 2. \( H_0: m_1 = m_2 \) \( H_1: m_1 > m_2, m_1 < m_2, \text{ or } m_1 \neq m_2 \) (where \( m \) = mean) 3. \( H_0: m_d = 0 \) \( H_1: m_d \neq 0 \) (\( m \) = mean) 4. \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2, p_1 < p_2, \text{ or } p_1 \neq p_2 \) 5. \( H_0: m_1 = m_2 = m_3 \ldots = m_k \) \( H_1: \) Means are not all equal (where \( m \) = mean)
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