Question

A marketing researcher predicts that college students will be more likely to purchase tickets for... A marketing researcher predicts that college students will be more likely to purchase tickets for the next football home game if their team won (vs. lost) the last game. The researcher asked 6 WSU students their willingness to purchase tickets (1= not likely at all, 7=very likely) and 6 EWU students their willingness to purhcase tickets (1=not likely, 7=very likely) (WSU won the game in the 2018 season)

WSU: 7 6 5 7 2 4

EWU: 6 5 6 5 1 6

In answering the questions, make sure to write down the following 7 steps.

Step 1. Establish null and alternative hypotheses (as a sentance and formula)

Step 2: Calculate the degrees of freedom

Step 3: calculate the t-critical using critical t-table

Step 4: calculate the Sum of Squares deviation

Step 5: Calculate t-obtained

Step 6: Specify the critical value and the obtained value on a t-distribution curve.

Answer 1

Step 1. Establish null and alternative hypotheses (as a sentance and formula)

Let Wsu=x

Ewu=y

Null hypothesis

Alternative hypothesis:

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Step 2: Calculate the degrees of freedom

Answer=6+6-2=10

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Step 3: calculate the t-critical using critical t-table

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Step 4: calculate the Sum of Squares deviation

sample means

Sum of square deviations

s_x=s_y=1.94

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Step 5: Calculate t-obtained

where n1=n2=6

So, t_obt=0.30

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Step 6: Specify the critical value and the obtained value on a t-distribution curve.

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Conclusion: We would accept H₀ and conclude that college students will not be more likely to purchase tickets for the next football home game if their team won (vs. lost) the last game

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