A scale measuring confidence in the media was administered to a sample. Is there
ID: 3173232 • Letter: A
Question
A scale measuring confidence in the media was administered to a sample. Is there a statistically significant difference between Democrats and Republicans on the scale? Higher scores on the scale indicate greater confidence. Use the five step model and write a sentence or two interpreting your results. X = X bar Democrats Republicans X1= 8.5 X2 = 7.8 s1 = 1.5 s2 = 1.1 N1 = 36 N2 = 35 Compute the statistic: Part 1 - Standard deviation of the sampling distribution When you enter your answer for this question be sure to do the following: round to the second decimal place put a number before the decimal, even if the number is zero. enter only the numbers (ex. 0.12)
Explanation / Answer
here as sample size of both is higher then 30
hence std error =(S12/n1+S22/n2)1/2 =0.3116
hence test stat =(X1-X2)/std error =2.2467
for above test stat; p value =0.024
as p value is lower then 0.05 level, hence there a statistically significant difference between Democrats and Republicans on the scale
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