Exam 18: The Binomial Test

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The binomial distribution with p = .10 has a mean of μ\mu = 10.For this distribution there are n = 100 scores in the sample.

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For a binomial distribution with p = ½ and n = 30, the value of X ranges from 1 to 30.

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A binomial distribution has a mean of µ = 40 for a sample of n = 60.What is the value of p?

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For a two-tailed binomial test with n = 100, α\alpha = .05, and a null hypothesis stating that p = 0.10, a score of X = 13 would be sufficient to reject the null hypothesis.

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The binomial distribution with p = ¼ has a standard deviation of 3.For this distribution there are n = 36 scores in the sample.

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If other factors are held constant, both the mean and standard deviation for the binomial distribution will both increase as the sample size increases.

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The binomial test is only used when the data consist of classifying each individual into one of two categories.

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For the binomial test, p = q.

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The normal approximation is appropriate for binomial data with n = 36 and p = 0.80.

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

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How are the difference scores coded in a sign test?

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For the normal approximation to the binomial distribution with p = ½ and n = 100, what is the z-score corresponding to X = 60?

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The sign test can be used as an alternative to the independent-measures t test.

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A researcher obtains z = 3.00 for a binomial test.If a chi-square test for goodness of fit had been used instead of the binomial test, what value would be obtained for chi-square?

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In a sign test, dividing the zero differences evenly between the two groups will increase the likelihood of rejecting the null hypothesis.

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The mean for the normal approximation to the binomial distribution is μ = pn.

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What is the standard deviation for the normal approximation to the binomial distribution with n = 72 and p = 1/3?

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Under what circumstances is the normal approximation to the binomial distribution justified?

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For a binomial distribution with p = ¼ and a mean of μ\mu = 12, the standard deviation is σ\sigma = 9.

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For any binomial distribution, p + q = 1.00.

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