### Stata Textbook Examples Introduction to the Practice of Statistics by Moore and McCabe Chapter 5: From Probability to Inference

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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