Question

1. after the null, list the _____________

○ start with ______ and then continue listing (h₂, h₃, etc.) as many as are necessary for the experiment

• example alternative hypotheses:
• h₁: tylenol will allow for ________ when consumed by patients with headaches
• h₂: tylenol will __________ symptoms when consumed by patients with headaches

Explanation:

To solve this fill - in - the - blank problem related to formulating hypotheses in an experimental context (likely in the field of Natural Science, specifically in areas like Medicine and Health or Biology where experimental hypothesis testing is common):

For the first main blank (after "After the null, list the"):

In hypothesis testing, after stating the null hypothesis ($H_0$), we list the alternative hypotheses. This is a fundamental concept in experimental design where we have the null hypothesis (stating no effect or no difference) and then one or more alternative hypotheses that propose what we expect to find (an effect, a difference, etc.).

For the "Start with" blank:

When listing alternative hypotheses, we start with $\boldsymbol{H_1}$. This is the standard notation where $H_1$ is the first alternative hypothesis, and then we can have $H_2$, $H_3$, etc. if there are multiple alternative scenarios we want to test.

For the $H_1$ blank ( "Tylenol will allow for ______ when consumed by patients with headaches"):

A reasonable completion could be "faster headache relief". This is a common type of alternative hypothesis in a medical experiment testing the efficacy of a drug (Tylenol) for headache patients. It proposes that Tylenol has a positive effect (faster relief) compared to the null hypothesis (which might state that Tylenol has no effect on headache relief).

For the $H_2$ blank ( "Tylenol will ______ symptoms when consumed by patients with headaches"):

A reasonable completion could be "reduce headache". This is another way to state an alternative hypothesis about the effect of Tylenol on headache symptoms, proposing that Tylenol has a beneficial effect (reducing the symptoms) as opposed to the null hypothesis.

Final Answers:

• After the null, list the $\boldsymbol{\text{alternative hypotheses}}$
• Start with $\boldsymbol{H_1}$ and then continue listing ($H_2$, $H_3$, etc.) as many as are necessary for the experiment
• $H_1$: Tylenol will allow for $\boldsymbol{\text{faster headache relief}}$ when consumed by patients with headaches (answer can vary, other examples like "better symptom management" are also valid)
• $H_2$: Tylenol will $\boldsymbol{\text{reduce headache}}$ symptoms when consumed by patients with headaches (answer can vary, other examples like "alleviate" are also valid)

Answer:

To solve this fill - in - the - blank problem related to formulating hypotheses in an experimental context (likely in the field of Natural Science, specifically in areas like Medicine and Health or Biology where experimental hypothesis testing is common):

For the first main blank (after "After the null, list the"):

In hypothesis testing, after stating the null hypothesis ($H_0$), we list the alternative hypotheses. This is a fundamental concept in experimental design where we have the null hypothesis (stating no effect or no difference) and then one or more alternative hypotheses that propose what we expect to find (an effect, a difference, etc.).

For the "Start with" blank:

When listing alternative hypotheses, we start with $\boldsymbol{H_1}$. This is the standard notation where $H_1$ is the first alternative hypothesis, and then we can have $H_2$, $H_3$, etc. if there are multiple alternative scenarios we want to test.

For the $H_1$ blank ( "Tylenol will allow for ______ when consumed by patients with headaches"):

A reasonable completion could be "faster headache relief". This is a common type of alternative hypothesis in a medical experiment testing the efficacy of a drug (Tylenol) for headache patients. It proposes that Tylenol has a positive effect (faster relief) compared to the null hypothesis (which might state that Tylenol has no effect on headache relief).

For the $H_2$ blank ( "Tylenol will ______ symptoms when consumed by patients with headaches"):

A reasonable completion could be "reduce headache". This is another way to state an alternative hypothesis about the effect of Tylenol on headache symptoms, proposing that Tylenol has a beneficial effect (reducing the symptoms) as opposed to the null hypothesis.

Final Answers:

• After the null, list the $\boldsymbol{\text{alternative hypotheses}}$
• Start with $\boldsymbol{H_1}$ and then continue listing ($H_2$, $H_3$, etc.) as many as are necessary for the experiment
• $H_1$: Tylenol will allow for $\boldsymbol{\text{faster headache relief}}$ when consumed by patients with headaches (answer can vary, other examples like "better symptom management" are also valid)
• $H_2$: Tylenol will $\boldsymbol{\text{reduce headache}}$ symptoms when consumed by patients with headaches (answer can vary, other examples like "alleviate" are also valid)