Only 14% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 365 randomly selected registered voters surveyed, 44 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance?
H0:H0: ? p μ Select an answer ≠ > = < (please enter a decimal)
H1:H1: ? p μ Select an answer ≠ > < = (Please enter a decimal)
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z tets for a population proportion
Null Hypothesis, H0: p >= 0.14
Alternative Hypothesis, Ha: p < 0.14
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.1205 - 0.14)/sqrt(0.14*(1-0.14)/365)
z = -1.074
P-value = 0.1414
As P-value >= 0.01,
fail to reject null hypothesis.
The data suggest the population proportion is not significantly
lower than 14% at αα = 0.01, so there is statistically
insignificant evidence to conclude that the percentage of
registered voters who will vote in the upcoming election will be
lower than 14%.
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