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Exercises
1. Test at a 5% significance level whether or not µ = 98 given the following sample data from
a normal population:
97 105 90 89 112 130
2. Test at a 5% significance level whether or not p is more than 75%, given a sample
proportion of 80% and a sample size of 235.
Solutions
1. We are testing Ho : µ = 98 versus H
1
: µ ø 98. Enter the data into a list, then use T-Test
with Data selected. Using µ
0
= 98 and µøµ
0
as the alternative hypothesis, we find that the
p-value is 0.401. Since the p-value is over 5%, we fail to reject the null hypothesis; µ may
be equal to 98.
2. We are testing Ho: p = 75% versus H
1
: p > 75%. Use 1-PropZTest with Data selected.
Using P
0
= 0.75, x = 80%(235) = 188, n = 235 and prop> p
0
as the alternative hypothesis, we
find that the p-value is 0.038. Since the p-value is under 5%, we reject the null hypothesis
and show evidence that p is more than 75%
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