Consider a binomial probability distribution with parameters n = 5 and p = 0.2.
(a) Construct a binomial probability distribution with these parameters.
(b) Compute the mean and standard deviation of the distribution.
(c) Graph the discrete probability distribution. Comment on the shape of the distribution.
Step 1 of 5) Consider a binomial probability distribution with parameters n = 5 and p = 0.2. (a) Construct a binomial probability distribution with these parameters. (b) Compute the mean and standard deviation of the distribution. (c) Graph the discrete probability distribution. Comment on the shape of the distribution. To perform these tests, the samples must be obtained independently using simple random sampling or the data result from a completely randomized experiment with two levels of treatment. The response variable is qualitative with two outcomes. In addition, npn 11 - pn 2 must be greater than or equal to 10 for each sample, and each sample size can be no more than 5% of the population size. The distribution of pn1 - pn2 is approximately normal, with mean p1 - p2 and standard deviation B p111 - p12 n1 + p211 - p22 n2 . We use this distribution to perform hypothesis tests using either the classical approach or P-value approach. Follow the same five steps for conducting a hypothesis test that we introduced in Chapter 10. We also use the model to construct confidence intervals about the difference of two independent proportions.