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koss929
koss929
26.10.2020 • 
Mathematics

Step 1 (a) Can a normal distribution be used for the p distribution? Explain.
Recall that to test a proportion, p, assuming all requirements are met, the z values will be calculated using
the following formula, where r is the number of successes, n is the number of trials, f - is the sample
statistic, p is the population probability of success, and a = 1 - p represents the population probability of
failure.
ZE
In order to use the normal distribution to estimate the p distribution, the number of trials n should be
sufficiently large so that both np > 5 and ng > 5. We will first check that these requirements are met.
We have a random sample of 20 binomial trials resulting in 7 successes and we wish to test the claim that the
population proportion of successes does not equal 0.50 using a significance level of 0.05. Therefore, we can
define n, p, and q as follows.
ре
9 - 1-p-
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