Exam 18: The Binomial Test

For binomial data that satisfy the criterion for using the normal approximation, you can either compute a z-score or a value for chi-square.The relationship between the two statistics is z = χ².

For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to X = 12?

A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola.In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B.Assuming that the researcher uses a two-tailed test, what is the appropriate statistical decision?

What are the mean and standard deviation for the normal approximation to the binomial distribution with n = 100 and p = .20?

Which of the following is the correct null hypothesis for a sign test?

Which of the following is the mean for a binomial distribution?

For a binomial distribution with n = 100, which of the following has the largest standard deviation?

If a coin is balanced so that p(Heads) = p(Tails) = 1/2, then which of the following outcomes is more unlikely to occur?

Which of the following is true for any binomial test?

If a binomial distribution satisfies the criterion for using the normal approximation with p = 0.1, then what can be concluded about the value of n?

The null hypothesis for the sign test always states that p = q.

It would not be appropriate to use a binomial test with p = 0.80 and n = 50.

For a binomial distribution with p = ½ and $\sigma$ = 3, the mean is $\mu$ = 18.

In a binomial hypothesis test, the value for μ must always be a whole number (not a fraction or decimal value).

If either pn or qn is greater than 10, the test statistic for the binomial test is a z-score and the critical values are obtained from the unit normal table.

For a binomial test with p = 0.20 and n = 100, the z-score for X = 24 is z = 0.25.

For the binomial test, what is the relationship between chi-square and z?

A binomial distribution has p = 1/3 and q = 2/3.How large a sample (n) is necessary to satisfy the criterion for using the normal approximation?

For a binomial test with p = ½, p (X > 60) for n = 100 is equal to p(X > 240) for n = 400.

If p = 1/5, the binomial distribution for samples of n = 100 will have a standard deviation of σ = 4.