### Stata Textbook Examples

Introduction to the Practice of Statistics by Moore and McCabe

Chapter 5: From Probability to Inference

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Example 5.4 can be solved with the **bitesti** command.
We supply the value of **n k** and **p**.
We see the probability that X <= 1 is .7361, as shown in the book.

**bitesti 10 1 .1**
N Observed k Expected k Assumed p Observed p
------------------------------------------------------------
10 1 1 0.10000 0.10000
Pr(k >= 1) = 0.651322 (one-sided test)
Pr(k <= 1) = 0.736099 (one-sided test)
Pr(k <= 1 or k >= 2) = 1.000000 (two-sided test)

Example 5.5 also can be solved with **bitesti**. In this example,
the N is 12, k is 5, and p is .25. Stata shows that the probability of missing 5 or more shots is .1576.

**bitesti 12 5 .25**
N Observed k Expected k Assumed p Observed p
------------------------------------------------------------
12 5 3 0.25000 0.41667
Pr(k >= 5) = 0.157644 (one-sided test)
Pr(k <= 5) = 0.945598 (one-sided test)
Pr(k <= 0 or k >= 5) = 0.189320 (two-sided test)

We can also solve example 5.7 using **bitesti**, as shown below.
Stata shows the probablity X >= 1450 is .9802, as shown in the book.

**bitesti 2500 1450 .6**
N Observed k Expected k Assumed p Observed p
------------------------------------------------------------
2500 1450 1500 0.60000 0.58000
Pr(k >= 1450) = 0.980180 (one-sided test)
Pr(k <= 1450) = 0.021854 (one-sided test)
Pr(k <= 1450 or k >= 1550) = 0.043274 (two-sided test)

We can solve example 5.10 using **bitesti** as shown below.

**bitesti 100 9 .1**
N Observed k Expected k Assumed p Observed p
------------------------------------------------------------
100 9 10 0.10000 0.09000
Pr(k >= 9) = 0.679126 (one-sided test)
Pr(k <= 9) = 0.451290 (one-sided test)
Pr(k <= 9 or k >= 11) = 0.868135 (two-sided test)

We skip examples 5.11 and 5.12.

Show example 5.21 on page 416.

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