For each of the following situations, suppose LaTeX: H_0: \\mu_1 = \\mu_2 H 0 :
ID: 3066860 • Letter: F
Question
For each of the following situations, suppose LaTeX: H_0: mu_1 = mu_2 H 0 : ? 1 = ? 2 is being tested against LaTeX: H_1: mu_1 eq mu_2 H 1 : ? 1 ? ? 2 . State whether or not there is significant evidence for the alternative hypothesis.
p-value = 0.046, alpha = 0.02
[ Choose ] Sufficient evidence for the alternative hypothesis. Insufficient evidence for the alternative hypothesis.
p-value = 0.033, alpha = 0.05
[ Choose ] Sufficient evidence for the alternative hypothesis. Insufficient evidence for the alternative hypothesis.
to = 2.26 with 5 df, alpha = 0.10
[ Choose ] Sufficient evidence for the alternative hypothesis. Insufficient evidence for the alternative hypothesis.
to = 1.94 with 16 df, alpha = 0.05
[ Choose ] Sufficient evidence for the alternative hypothesis. Insufficient evidence for the alternative hypothesis.
Explanation / Answer
Since p-value = 0.046 is greater than alpha = 0.02, so fail to reject the null hypothesis.
Insufficient evidence for the alternative hypothesis.
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Since p-value = 0.033 is not greater than alpha = 0.05, so reject the null hypothesis.
Sufficient evidence for the alternative hypothesis.
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The p-value for to = 2.26 with 5 df is 0.073.
Since p-value = 0.073 is not greater than alpha = 0.10, so reject the null hypothesis.
Sufficient evidence for the alternative hypothesis.
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The p-value for to = 2.26 with 5 df is 0.070.
Since p-value = 0.070 is greater than alpha = 0.05, so fail to reject the null hypothesis.
Insufficient evidence for the alternative hypothesis.
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