Formulate the null and alternative hypotheses for a hypothesis test. -A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. A) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.001$ C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } 0.001$ D) $\mathrm { H } _ { 0 } : \mathrm { p }

Question

Formulate the null and alternative hypotheses for a hypothesis test. -A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. A) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.001$ B) $\mathrm { H } _ { 0 } : \mathrm { p } > 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.001$ C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.001$ D) $\mathrm { H } _ { 0 } : \mathrm { p } < 0.001$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.001$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, and it is tested against an alternative hypothesis ($H_a$) which represents the researcher's belief or the theory being tested. In this case, the researcher believes the proportion ($p$) of Americans that have seen a UFO is less than 0.001, so the null hypothesis should state the proportion is equal to 0.001 ($H_0: p = 0.001$), and the alternative hypothesis should reflect the researcher's claim ($H_a: p < 0.001$).

Formulate the Null and Alternative Hypotheses for a Hypothesis Test H0:p=0.001\mathrm { H } _ { 0 } : \mathrm { p } = 0.001H0​:p=0.001

Formulate the Null and Alternative Hypotheses for a Hypothesis Test $\mathrm { H } _ { 0 } : \mathrm { p } = 0.001$