We want to conduct a correlation hypothesis test to determine whether the relati

Question

We want to conduct a correlation hypothesis test to determine whether the relationship between tar and nicotine is statistically significant. Fill in the missing parts of the hypothesis test. Research Question: Is there sufficient evidence to indicate that there is a relationship between the amount of tar (in mg) and the amount of nicotine (in mg) in cigarettes? Statistical Hypotheses: Decision Rule: Let alpha = 0.05, two-tailed. I will reject the null hypothesis if _____ Calculations and Data Collection (see SPSS outputs provided earlier): Scatterplot approximately linear? _____ Histograms approximately Normal? _____ Outliers? _____ Spreads Restricted? _____ Are assumptions met? _____ Statistical Decision: Interpretation: There is a _____ relationship between tar (mg.) and nicotine (mg.) in cigarettes. As the amount of tar _____, the amount of nicotine _____.

Explanation / Answer

2. H0: There is no sufficient evidence that there is a relationship between the amount of tar and amount of nicotin

H1:  There is sufficient evidence that there is a relationship between the amount of tar and amount of nicotin

3.

t value > 2.0518 (is a critical value at 5% los and n-2=27df)

or P < alpha 0.05, we reject H0

4.

Yes, it is linearly

Yes, it is normal

there is no outlier

Yes

Yes, the assumptions are mean

r=0.961 r2 = 0.923521 p = 0.000 df = 27

5. Decision:

Here P value < alpha 0.05, we reject H0

6. There is sufficient evidence that the relationship between tar and nicotine in ciagrettes. As the amount of tar 1 unit the amount nicotine 0.065

r = 0.961,  r2 = 0.923521 which means that 92.35% of variations in nicotin  is explained by the tar

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