Only 11% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 300 randomly selected registered voters surveyed, 48 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance?
H0:H0: ? μ p Select an answer = < ≠ > (please enter a decimal)
H1:H1: ? p μ Select an answer < = ≠ > (Please enter a decimal)
p = 11% = 0.11
Claim : Will voter participation change for the upcoming election?
n = 300 , x = 48 α = 0.01 , p^ = x / n = 48/300 = 0.16
1. For this study, we should use
z-test for a population proportion
2. The null and alternative hypotheses would be:
H0: p = 0.11
H1: p ≠ 0.11
The test statistic ?
z = (p^-p)/√(p(1-p))/n
z = 2.768
The p-value = 0.0056
The p-value is ≤ α
Based on this, we should
reject the null hypothesis
Thus, the final conclusion is that ...
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