# Null Hypothesis and Gas Mileage

**Topics:**Null hypothesis, Statistical hypothesis testing, Statistical tests

**Pages:**4 (855 words)

**Published:**April 18, 2011

• Chapter 17 Hypothesis Testing

• Chapter 18 Measures of Association

Objective: Computer laboratory session (II) – Please refer to the Computer Lab Notes

Discussion Question 1

H0 – Null Hypothesis: a statement you want to reject (E.g Average = 50)

H1/HA – Alternative Hypothesis: a statement you want to prove (E.g Average is not 50)

What is related/dependent sample?

H0: Tutorial is NOT effective

H1: Tutorial is effective

|Respondent |Before tutorial |After tutorial | |After – Before | |A |30 |35 | |+5 | |B |70 |62 | |-8 | |C |65 |69 | |+4 | |D |80 |88 | |+8 |

What hypothesis testing procedure would you use in the following situations?

a) A test classifies applicants as accepted or rejected. On the basis of data on 200 applicants, we test the hypothesis that ad placement success is not related to gender.

H0: ad placement success is not related to gender. (Indep) Ha: ad placement success is related to gender. (Dep)

2-independent sample Chi-square test

b) A company manufacturers and markets automobiles in two different countries. We want to know if the gas mileage is the same for vehicles from both facilities. There are samples of 45 units from each facility.

H0: Gas mileage is the same for vehicles from both facilities. H1: Gas mileage is NOT the same for vehicles from both facilities. 2 independent sample Z test

t-test: N=30

c) A company has three categories of marketing analysts: (1) with professional qualifications but without work experience, (2) with...

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