In Problems 3–6, state the values of λ and t for each Poisson process.
The flaws in a piece of timber occur at the rate of 0.07 per linear foot. The random variable X is the number of flaws in the next 20 linear feet of timber.
Step 1 of 5) The flaws in a piece of timber occur at the rate of 0.07 per linear foot. The random variable X is the number of flaws in the next 20 linear feet of timber. Substituting the pooled estimate of p into Equation (2), we obtain. This test statistic will be used to test hypotheses regarding two population proportions. Hypothesis Test Regarding the Difference between Two Population Proportions To test hypotheses regarding two population proportions, p1 and p2, use the steps that follow, provided that r the samples are independently obtained using simple random sampling or through a completely randomized experiment with two levels of treatment, r n1 pn111 - pn12 Ú 10 and n2 pn211 - pn22 Ú 10, and r n1 … 0.05N1 and n2 … 0.05N2 (the sample size is no more than 5% of the population size); this requirement ensures the independence necessary for a binomial experiment. Step 1 Determine the null and alternative hypotheses. The hypotheses can be structured in one of three ways.