Answer:
To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.
- Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.
On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.
- Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.
Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.
