For one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second independent binomial experiment, = 100 binomial trials produced r, = 50 successes. At the 5% level of significance, test the daim that the probabilities of success for the two binomial experiments differ. A USE SALT (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. (c) State the hypotheses. O H,: P, < Pi H, P, = P2 O H,i P, = P,i H, P. P2 O H,: P, P, H, P, < P, O H,i P, = P, H, P, > P,

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.