A recent Gallup poll found that in the general American population, 24% of peopl

Question

A recent Gallup poll found that in the general American population, 24% of people identify as Republican, 32% identify as Democrats, and 44% identify as Independent. In a sample of 50 NDSU students, we observe that 25 people identify as Republicans, 16 identify as Democrats, and 9 identify as Independents.

If the sample of NDSU students had the same distribution as the general American population, what frequencies would we expect for each category? (2 points)

Compute X^2(3 points)

Is there a significant difference between NDSU students’ political affiliation and the general Americans’ political affiliation ((at = 0.05)? How do you know? (Hint: what is the critical X^2 for this analysis?). (3 points)

Report your results from this chi-square test in APA style. (1 point)

Explanation / Answer

If the sample of NDSU students had the same distribution as the general American population, what frequencies would we expect for each category?

Expected freqencies

Republicans: 0.24*50 = 12

Democrats:0.32*50 = 16

Independants:0.44*50 = 22

If the sample of NDSU students had the same distribution as the general American population, what frequencies would we expect for each category? YES

Chi-square value is 21.765

p value is less than 0.001 hence we reject the null hypothesis that there is no significant difference

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