1) If a hypothesis is conducted using 𝐠= 0.05, for which of the following p-values would the null hypothesis be rejected?
2) For each pair of ? and p-value, indicate whether the null hypothesis would be rejected.
3) In a test of H₀: µ = 80 against H₁: µ<80, the sample data yielded the test statistic z = 1.63. What is
the p-value for the test?
4) In a test of H₀: µ = 80 against H₁: µ ≠ 80, a sample of observations had a mean and standard
deviation s = 4.1. What is the p-value for this test?
5) In a test of H₀: µ = 72 against H₁: µ ≠ 72, the sample data yielded the test statistic z = 1.63. Find the p-value for the test.
1)
e) 0.001
2)
a) don't reject
b) don't reject
c) reject
d) don't reject
e) reject
3)
Left-tailed test
4)
This corresponds to a two-tailed test, for which a t-test for one mean, with unknown population standard deviation, using the sample standard deviation, will be used.
The t-statistic is computed as follows:
The p-value for two-tailed, degrees of freedom, can be defined if are given.
5)
Two-tailed test
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