PYC3704
Assignment 2
Unique No:733362
Due 19 November 2025
, PYC3704 – Assignment 2 – Semester 2 (733362)
Question 1
In hypothesis testing, the test statistic is used to calculate the p-value, which is then
compared with the level of significance to make a decision.
Answer: test statistic; p-value; level of significance
Explanation: First calculate a test statistic (like t, z, or χ²). From this, you get the p-value.
If the p-value is smaller than α (significance level), you reject H₀.
Question 2
Two samples are dependent when the values in one are systematically related to values
in the other.
Answer: there is a systematic relationship between the two samples
Explanation: For example, the same people tested twice (before/after) or matched pairs.
Question 3
Test: H₀: µ = 100 vs H₁: µ ≠ 100 at α = 0.05. If t = -3.20, p = 0.04.
Answer: Reject H₀ and accept H₁
Explanation: Since p = 0.04 < 0.05, the result is significant, so H₀ is rejected.
Question 4
When can a t-test be used?
Answer: (a) and (c)
Explanation: T-tests compare means (group vs constant, or between two groups), but
not for nominal data or correlations.
Question 5
The higher the significance level (α), the greater the chance of making a Type I error.
Answer: Type I error
Assignment 2
Unique No:733362
Due 19 November 2025
, PYC3704 – Assignment 2 – Semester 2 (733362)
Question 1
In hypothesis testing, the test statistic is used to calculate the p-value, which is then
compared with the level of significance to make a decision.
Answer: test statistic; p-value; level of significance
Explanation: First calculate a test statistic (like t, z, or χ²). From this, you get the p-value.
If the p-value is smaller than α (significance level), you reject H₀.
Question 2
Two samples are dependent when the values in one are systematically related to values
in the other.
Answer: there is a systematic relationship between the two samples
Explanation: For example, the same people tested twice (before/after) or matched pairs.
Question 3
Test: H₀: µ = 100 vs H₁: µ ≠ 100 at α = 0.05. If t = -3.20, p = 0.04.
Answer: Reject H₀ and accept H₁
Explanation: Since p = 0.04 < 0.05, the result is significant, so H₀ is rejected.
Question 4
When can a t-test be used?
Answer: (a) and (c)
Explanation: T-tests compare means (group vs constant, or between two groups), but
not for nominal data or correlations.
Question 5
The higher the significance level (α), the greater the chance of making a Type I error.
Answer: Type I error
