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Two-tailed test
If using a two-tailed test we will find the value of z
α/2
, from
Pr[Z> z
α/2
] = 1-Φ(z
α/2
) = α/2, or Φ(z
α/2
) = 1- α/2,
where Φ(z) is the cumulative distribution function (CDF) of the standard normal
distribution.
Reject the null hypothesis, H
0
, if z
0
>z
α/2
, or if z
0
< - z
α/2
.
In other words, the rejection region is R = { |z
0
| > z
α/2
}, while the acceptance
region is A = {|z
0
| < z
α/2
}.
One-tailed test
If using a one-tailed test we will find the value of z
a
, from
Pr[Z> z
α
] = 1-Φ(z
α
) = α, or Φ(z
α
) = 1- α,
Reject the null hypothesis, H
0
, if z
0
>z
α
, and H
1
: p
1
-p
2
> p
0
, or if z
0
< - z
α
, and
H
1
: p
1
-p
2
<p
0
.
Hypothesis testing using pre-programmed features
The calculator provides with hypothesis testing procedures under application 5.
Hypoth. tests.. can be accessed by using ‚Ù—— @@@OK@@@.
As with the calculation of confidence intervals, discussed earlier, this program
offers the following 6 options:
These options are interpreted as in the confidence interval applications: