**Answer:**

The correct option is **(d)**.

**Step-by-step explanation:**

The **<em>p</em>****-value** is well defined as the probability, [under the null hypothesis (<em>H₀</em>)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

We reject a hypothesis if the <em>p</em>-value of a statistic is lower than the level of significance <em>α</em>.

A small <em>p</em>-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (<em>H₀</em>), so you discard <em>H₀</em>.

A large <em>p</em>-value (> 0.05) specifies fragile proof against the <em>H₀</em>, so you fail to discard <em>H₀</em>.

The hypothesis in this case can be defined as follows:

**<em>H₀</em>****:** The mean amount of money students from the university spend on a first date is $100, i.e. <em>**μ**</em>** = 100**.

**<em>Hₐ</em>****:** The mean amount of money students from the university spend on a first date is less than $100, i.e. <em>**μ**</em>** < 100**.

The sample selected is of size, <em>**n**</em>** = 32**.

The sample mean amount spent is, **$92.23**.

The <em>p</em>-value of the test is, <em>**p**</em>**-value = 0.026**.

The <em>p</em>-value in this case can be defined as the probability that the sample mean amount spent on first date by the 32 students is less than or equal to $92.23, given that the actual mean amount spent on first date is $100.

Thus, the correct option is **(d)**.