PYC3704
Assignment 2
Unique No:733362
Due 19 November 2025
, PYC3704
Assignment 2
Semester 2 (733362)
Question 1
In statistical hypothesis testing, the - - - - - is used to determine the - - - - - which is to be
compared to the chosen - - - - - to make an inference regarding the status of the
hypotheses.
Answer: 1. test statistic; p-value; level of significance
Explanation: You first calculate a test statistic (e.g., t, z, χ²), then use it to determine
the p-value. This p-value is compared with your chosen α (significance level) to decide
whether to reject or retain H₀.
Question 2
Two samples may be regarded as dependent when - - - - - -.
Answer: 3. there is a systematic relationship between the measurements in one sample
and the other
Explanation: Dependent samples are linked in a meaningful way, such as pre-
test/post-test data from the same people or matched pairs in experimental designs.
Question 3
Suppose H₀: µ = 100 is tested against H₁: µ ≠ 100 with α = 0.05. If the t-statistic = -3.20
and two-tailed p = 0.04, what decision is taken?
Answer: 4. Reject H₀ and accept H₁
Explanation: Because p < α, the result is statistically significant; we reject H₀ in favour
of H₁.
Question 4
When can a t-test variation be used?
Answer: 2. (a) and (c)
Explanation: T-tests compare means — either between two groups or between a group
Assignment 2
Unique No:733362
Due 19 November 2025
, PYC3704
Assignment 2
Semester 2 (733362)
Question 1
In statistical hypothesis testing, the - - - - - is used to determine the - - - - - which is to be
compared to the chosen - - - - - to make an inference regarding the status of the
hypotheses.
Answer: 1. test statistic; p-value; level of significance
Explanation: You first calculate a test statistic (e.g., t, z, χ²), then use it to determine
the p-value. This p-value is compared with your chosen α (significance level) to decide
whether to reject or retain H₀.
Question 2
Two samples may be regarded as dependent when - - - - - -.
Answer: 3. there is a systematic relationship between the measurements in one sample
and the other
Explanation: Dependent samples are linked in a meaningful way, such as pre-
test/post-test data from the same people or matched pairs in experimental designs.
Question 3
Suppose H₀: µ = 100 is tested against H₁: µ ≠ 100 with α = 0.05. If the t-statistic = -3.20
and two-tailed p = 0.04, what decision is taken?
Answer: 4. Reject H₀ and accept H₁
Explanation: Because p < α, the result is statistically significant; we reject H₀ in favour
of H₁.
Question 4
When can a t-test variation be used?
Answer: 2. (a) and (c)
Explanation: T-tests compare means — either between two groups or between a group
