STA1610 Assignment 5 (Accurate Solutions) 2025 Due 08 September 2025

STA1610
Assignment 5
Unique No: 867182

Due 08 September 2025

, STA1610 Assignment 5 — Due date: 08 September 2025


STA1610 Assignment 5
Due date: 08 September 2025


Problem 1
Problem Statement
ComputerWorld reports the population job-satisfaction distribution for information sys-
tems managers as: Very satisfied 28%, Somewhat satisfied 46%, Neither 12%, Somewhat
dissatisfied 10%, Very dissatisfied 4%.
A sample of 500 computer programmers produced the observed counts:

• Very satisfied: 105

• Somewhat satisfied: 235

• Neither: 55

• Somewhat dissatisfied: 90

• Very dissatisfied: 15

At significance level α = 0.05, test whether the job-satisfaction distribution for computer
programmers differs from that of information systems managers.


Step 1 — Test & hypotheses; approach

We use a chi-square goodness-of-fit test.



H0 : Programmers follow the same distribution as managers.

H1 : Programmers do not follow that distribution.


Degrees of freedom:
df = k − 1 = 5 − 1 = 4


Critical value: χ20.95,4 ≈ 9.488.

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