A study was conducted to test if use of herbal tea played any role in prevention of common cold. Data was collected on the number of people who developed cold and those who did not develop cold and this data was tabulated in relation to whether they consumed Herbal tea or not.rnrnrnrn Herbal tea rnConsumedrnNot consumedrnrnrn Had cold rn12rn 23rnrnrn Did not have a cold rn 34rn38rnrnrnrn In order to study this above given test, which of the following analytical test can be used?

**Core Concept**
The question requires the application of statistical analysis to determine if there is a significant association between consuming herbal tea and the development of the common cold. This involves comparing the proportions of individuals who developed a cold and those who did not develop a cold in relation to their consumption of herbal tea.

**Why the Correct Answer is Right**
The Chi-square test is a non-parametric test used to determine if there is a significant association between two categorical variables. In this case, the variables are "consumption of herbal tea" (categorical) and "development of the common cold" (categorical). The Chi-square test calculates the likelihood of observing the given frequency distribution by chance, and it provides a p-value that indicates the probability of observing the observed association or a more extreme one, assuming that there is no real association between the variables. The given data can be represented in a 2x2 contingency table, which is suitable for the Chi-square test.

**Why Each Wrong Option is Incorrect**

**Option A:** The 'Z' test is used to compare the means of two groups, which is not applicable in this scenario since the data is categorical, not numerical.

**Option C:** Student's t-test (paired) is used to compare the means of two related groups, which is not relevant here as the data is categorical and not paired.

**Option D:** Student's t-test (unpaired) is used to compare the means of two independent groups, which is not suitable for this scenario since the data is categorical, not numerical.

**Clinical Pearl / High-Yield Fact**
When analyzing categorical data, it's essential to use the appropriate statistical test to avoid Type I or Type II errors. The Chi-square test is a valuable tool for determining associations between categorical variables, and it's widely used in epidemiological and public health studies.

**✓ Correct Answer: B. Chi square test**

✓ Correct Answer: B. Chi square test