Given the SPSS output: (a) Test the null hypothesis of no difference in the true mean amount of sodium for the four provinces. Use α = 0.05. What conclusion can be drawn using Critical Value Approach? What is the p-value? What conclusion can be drawn using p-value approach? (b) Use Tukey's HSD method, if appropriate, to determine which means differ. Notes: You need to do all four-steps of hypotheses to perform the hypothesis test using both critical and p-value approach. Critical value should be found using F-distribution table, whereas p-value has already been reported in SPSS output. There is no need to calculate F-test statistic and p-value as they are part of SPSS output. -(c) In case you fail to reject the null hypotheses (i.e. the average sodium intake of four provinces), there is NO need to carry out Tukey's HSD test to investigate further where the difference occurs. You can also justify the reason for not doing HSD test from Tukey's HSD output.

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Given the SPSS output:

(a) Test the null hypothesis of no difference in the true mean amount of sodium for the four provinces. Use α = 0.05. What conclusion can be drawn using Critical Value Approach? What is the p-value? What conclusion can be drawn using p-value approach?

(b) Use Tukey's HSD method, if appropriate, to determine which means differ.

Notes:

You need to do all four-steps of hypotheses to perform the hypothesis test using both critical and p-value approach. Critical value should be found using F-distribution table, whereas p-value has already been reported in SPSS output. There is no need to calculate F-test statistic and p-value as they are part of SPSS output.

-(c) In case you fail to reject the null hypotheses (i.e. the average sodium intake of four provinces), there is NO need to carry out Tukey's HSD test to investigate further where the difference occurs. You can also justify the reason for not doing HSD test from Tukey's HSD output.

Oneway
ANOVA
Sodium_Intake
Sum of
Squares
df
Mean Square
F
Sig.
Between Groups
.422
3
.141
1.833
.182
Within Groups
1.228
16
.077
Total
1.650
19
Transcribed Image Text:Oneway ANOVA Sodium_Intake Sum of Squares df Mean Square F Sig. Between Groups .422 3 .141 1.833 .182 Within Groups 1.228 16 .077 Total 1.650 19
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