BUS 232

Does the evidence support the claim?

Name: Business Tutor
Address: Burnaby, BC, CA
Telephone: +1-604-916-5838
Price range: C$30–C$129

Start with a population claim. Use a sample to test it, read the p-value, and understand the errors a decision can make. Learn the method, then work through twelve questions.

Claims and decisions · Step 1 of 18

Start with a claim about the whole population

Starting claim	Research claim
H₀: μ ≤ 8,000 hours	H₁: μ > 8,000 hours
Assume the old claim for the test	Look for evidence of longer life

Strong evidence → reject the starting claim

Claims and decisions · Step 1 of 18

Start with a claim about the whole population

A hypothesis is a claim about an unknown population mean μ or proportion p. The null H₀ is our starting position; the alternative H₁ is the change we want evidence for. Think innocent until proven guilty: a sample can give evidence against the null, but cannot prove it true.

Try it: Switch from weak to strong evidence. Notice that the cautious conclusion never says the null is proved.

How convincing is the sample?

Decision

Reject

Target

Population μ

A hypothesis is about the population, never about the sample mean you already measured.

Check yourself

A sample does not give enough evidence against the null. What can you say?

Question 1 of 12CoreTutorial question from the slides

Three research claims, three alternatives

Write the null and alternative for each research claim: (a) a filing campaign raises electronic filing above 70%; (b) a provider checks whether the average number of televisions per home differs from 2.9; (c) a housing programme reduces average selling time below 60 days. Name each tail.

Given

Electronic filing benchmark70%

Televisions per home2.90

Days on the market60

Solution

Claim	Null	Alternative
Increase	…	…
Different	…	…
Decrease	…	…

Equality stays with the starting claim

Read the question and the givens first. Try the first part yourself, then press Start solving and open the working to check.

Filing

Televisions

Selling time

Exam coming up and hypothesis tests still feel confusing?

Bring your problem sets. We work through them together until every type feels routine.

Book a session Next toolNext: Hypothesis tests comparing two populations

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Does the evidence support the claim?

Start with a claim about the whole population

Start with a claim about the whole population

Three research claims, three alternatives

Exam coming up and hypothesis tests still feel confusing?

Questions, answered.

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