Exam 7: Analyzing Proportions

Clearly and precisely describe the statistical conclusions that we make when conducting a binomial test. Describe both results: when we obtain a P-value less than 0.05 and when we obtain a P-value larger than 0.05.

The value of 25! / 22! is which of the following?

Given a fixed proportion of successes in the population, the width of the sampling distribution for the number of successes gets narrower as the sample size gets larger.

The value of 5! is which of the following?

Given a fixed proportion of successes in the population, the width of the sampling distribution for the proportion of successes gets narrower as the sample size gets larger.

Consider the claim that 60% of the members of a population of bacteria have a plasmid conferring antibiotic resistance. If we collected 11 bacterial samples and 4 proved to have the resistance plasmid, what would the P-value of a binomial test of this hypothesis be?

The value of $\left(\begin{array}{c}20 \\3\end{array}\right)$ is which of the following?

What is the standard error of the proportion when the sample size is 55 values and the sample proportion is 0.4?

10! < 1,000

20! > 99²

If a study reveals five successes and eight failures, in how many different ways (i.e., sequences) could this have occurred??

Imagine a surgery that is known to have a 10% chance of serious side effects. An internal hospital review shows that 4 out of 8 of a particular doctor's patients have these side effects. If we conducted a binomial test of whether this doctor's patients are experiencing usually low or high rates of side-effects, what would our conclusion be?

Which of the following is not an assumption of the binomial distribution?

The probability distribution for the number of "successes" in a fixed number of independent trials, when the probability of success is the same for each, is called which of the following?