In 2009, it was estimated that 63% of Americans supported the
death penalty. In 2014, a Rasmussen Poll found that, in a random
sample of 943 Americans, 538 supported the death penalty. Do we
have evidence that support of the death penalty has declined among
Americans since 2009? Use 5% significance level.
Null hypothesis:
["p = 0.63", "p ≠ 0.63", "μ = 0.63", "p < 0.63"]
Alternative hypothesis:
["p < 0.63", "p > 0.63", "p ≠ 0.63", "p < 0.57"]
Type of the test :
["left-tailed test", "right-tailed test", "two-tailed test"]
Critical value ( round to 3 decimal places):
["1.645", "1.960", "2.576", "0.950"]
Test statistic ( round to 3 decimal places):
["-3.783", "-2.539", "3.783", "2.539", "1.645"]
P-value (round to 4 decimal places):
["0.0001", "0.9999", "0.0000", "0.0056"]
Decision:
["reject the null hypothesis", "fail to reject the null hypothesis"]
Final conclusion:
["At 5% significance level, we have sufficient evidence to support of the death penalty has declined since 2009.", "At 5% significance level, we have insufficient evidence to support of the death penalty has declined since 2009.", "At 5% significance level, we have sufficient evidence to reject the claim that the death penalty approval rate has declined since 2009.", "At 5% significance level, we have insufficient evidence to reject the claim that the death penalty approval rate has declined since 2009."]