A.I. Explanation:

Correct answer: demonstrate

Explanation: The verb 'demonstrate' fits grammatically as it is in the base form, which is required after 'must.' Contextually, it aligns with the need for researchers to show or prove their methods of data analysis to be accepted as trustworthy.

Meaning: To 'demonstrate' means to show or prove something clearly through evidence or examples.

Wrong options:

• persuade: The verb 'persuade' means to convince someone to do or believe something, which does not fit the context of showing data analysis methods.
• material: The noun 'material' refers to the substance or matter from which things are made, which does not relate to the action of proving or showing in this context.
• support: The verb 'support' means to provide assistance or backing, which does not convey the act of showing or proving data analysis.

Correct answer: determine

Explanation: The verb 'determine' is appropriate here as it indicates the action of deciding or concluding something based on evidence. It fits grammatically in the infinitive form following 'to,' and contextually, it relates to the reader's ability to assess the credibility of the research process.

Meaning: To 'determine' means to find out or establish something, especially through analysis or investigation.

Wrong options:

• persuade: The verb 'persuade' does not fit as it implies convincing someone rather than assessing or concluding based on evidence.
• material: The noun 'material' does not fit as it refers to physical substances and does not relate to the action of assessing credibility.
• support: The verb 'support' implies providing assistance rather than making a judgment or conclusion about the credibility of the research.

Correct answer: conduct

Explanation: The verb 'conduct' is suitable here as it refers to the act of carrying out or managing a process, which is essential in the context of qualitative research. It is in the base form, fitting grammatically after 'how to,' and contextually aligns with the process of performing research.

Meaning: To 'conduct' means to carry out or manage an activity or process, especially in a systematic way.

Wrong options:

• persuade: The verb 'persuade' does not fit as it relates to convincing others rather than managing or performing research.
• material: The noun 'material' does not apply here as it refers to physical substances and does not relate to the action of performing research.
• support: The verb 'support' implies providing assistance rather than managing or executing the research process.

Correct answer: analysis

Explanation: The noun 'analysis' is appropriate as it refers to the detailed examination of the thematic elements in qualitative research. It fits grammatically as it follows 'thematic,' and contextually, it relates directly to the type of research being discussed.

Meaning: 'Analysis' refers to the process of examining something in detail to understand it better or draw conclusions.

Wrong options:

• persuade: The verb 'persuade' does not fit as it relates to convincing others rather than examining or analyzing data.
• material: The noun 'material' does not apply here as it refers to physical substances and does not relate to the examination of research themes.
• support: The noun 'support' implies assistance rather than the examination or analysis of thematic elements in research.