Determine the null and alternative hypotheses for the proposed hypothesis test. -The forced vital capacity (FVC)is often used by physicians to assess a person's ability to move air in and out of their lungs. It is the maximum amount of air that can be exhaled after a deep breath. A Researcher wants to perform a hypothesis test to determine whether the mean forced vital capacity For adults who are smokers is less than the mean forced vital capacity for adults who are former Smokers. He will use a paired sample to determine whether forced vital capacity increases, on Average, when adults stop smoking. A) Let $\mu _ { 1 }$ denote the mean forced vital capacity for adults who are smokers and let $\mu _ { 2 }$ denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 }

Question

Determine the null and alternative hypotheses for the proposed hypothesis test. -The forced vital capacity (FVC)is often used by physicians to assess a person's ability to move air in and out of their lungs. It is the maximum amount of air that can be exhaled after a deep breath. A Researcher wants to perform a hypothesis test to determine whether the mean forced vital capacity For adults who are smokers is less than the mean forced vital capacity for adults who are former Smokers. He will use a paired sample to determine whether forced vital capacity increases, on Average, when adults stop smoking. A) Let $\mu _ { 1 }$ denote the mean forced vital capacity for adults who are smokers and let $\mu _ { 2 }$ denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } > \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }$. B) Let $\mu _ { 1 }$ denote the mean forced vital capacity for adults who are smokers and let $\mu _ { 2 }$ denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } < \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }$. C) Let $\mu _ { 1 }$ denote the mean forced vital capacity for adults who are smokers and let $\mu _ { 2 }$ denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }$. D) Let $\mu _ { 1 }$ denote the mean forced vital capacity for adults who are smokers and let $\mu _ { 2 }$ denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }$.

Quizplus · Accepted Answer

The null hypothesis typically states that there is no effect or no difference, so it should state that the means are equal ($\mu_1 = \mu_2$). The alternative hypothesis reflects the research hypothesis that the mean forced vital capacity for smokers is less than for former smokers ($\mu_1 < \mu_2$).

Determine the Null and Alternative Hypotheses for the Proposed Hypothesis μ1\mu _ { 1 }μ1​

Determine the Null and Alternative Hypotheses for the Proposed Hypothesis $\mu _ { 1 }$