A random sample of U.S. adults was recently asked, "Would you support or oppose major

Khadija Wells 2021-01-02 Answered

A random sample of U.S. adults was recently asked, "Would you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?" The two-way table shows the responses, grouped by age.

Age Response18343549506465+TotalSupport91161272332856Oppose2574211255565Dontknow413205188Total1202485036381509 

Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?

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Expert Answer

Demi-Leigh Barrera
Answered 2021-01-03 Author has 97 answers

Given:

18343549506465+TotalSupport91161272332856Oppose2574211255565Dontknow413205188Total1202485036381509
α=Sign if icence level=0.05 as sumption

The null hypothesis states that there is no difference in the distribution of the categorical variable for each of the populations/treatments. The alternative hypotesis states that there is a difference. H0 : There is no association between age and response. Hα: There is an association between age and response. The expected frequencies E are the product of the column and row total, divided by the table total. E11=r1×c1n=856×120150968.07
E12=r1×c2n=856×2481509140.68
E13=r1×c3n=856×5031509285.33
E14=r1×c4n=856×6381509361.91
E21=r2×c1n=565×120150944.93
E22=r2×c2n=565×248150992.86
E23=r2×c3n=565×5031509188.33
E24=r2×c4n=565×6381509238.88
E31=r3×c1n=88×12015097.00
E32=r3×c2n=88×248150914.46

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