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Testing Hypotheses MCQ

____ statistics is the test statistic computed by converting a sample statistic (such as the mean) to a Z score. The formula for obtaining Z varies from test to test.

Answer

Correct Answer: Z

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The probability associated with failing to reject a null hypothesis when it is false is type ___ error.

Answer

Correct Answer: II

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The probability associated with rejecting a null hypothesis when it is true is type ____ error

Answer

Correct Answer: I

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A type of hypothesis test that involves a non directional research hypothesis is ____ tailed test

Answer

Correct Answer: Two

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The test statistic computed to test the null hypothesis about a population mean when the population standard deviation is unknown and is estimated using the sample standard deviation is t statistics

Answer

Correct Answer: True

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A family of curves, each determined by its degrees of freedom (df) is t distribution

Answer

Correct Answer: True

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Statistical hypothesis testing is a procedure that allows us to evaluate hypotheses about population parameters based on sample statistics.

Answer

Correct Answer: True

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Sampling distribution of difference between means is a theoretical probability distribution that would be obtained by calculating all the possible mean differences (Ȳ1-Ȳ2) that would be obtained by drawing all the possible independent random samples of size N1 and N2 from two populations where N1 and N2 are each greater than 50.

Answer

Correct Answer: True

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A one-tailed test in which the sample outcome is hypothesized to be at the right tail of the sampling distribution is right tailed test

Answer

Correct Answer: True

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A statement reflecting the substantive hypothesis. It is always expressed in terms of population parameters, but its specific form varies from test to test is ____ hypothesis

Answer

Correct Answer: Research

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P value is the probability associated with the obtained value of Z.

Answer

Correct Answer: True

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A type of hypothesis test that involves a directional hypothesis. It specifies that the values of one group are either larger or smaller than some specified population value is ___ tailed test

Answer

Correct Answer: One

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A statement of “no difference,” which contradicts the research hypothesis and is always expressed in terms of population parameters is ____ hypothesis

Answer

Correct Answer: Null

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A one-tailed test in which the sample outcome is hypothesized to be at the left tail of the sampling distribution is left tailed test

Answer

Correct Answer: True

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The number of scores that are free to vary in calculating a statistic is degrees of freedom

Answer

Correct Answer: True

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The level of probability at which the null hypothesis is rejected. It is customary to set alpha at the .05, .01, or .001 level is called

Answer

Correct Answer: Alpha

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The statistic used to test for difference between means when the population variance(s) are unknown is called the ______.

Answer

Correct Answer: T statistic

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Suppose you calculate a t statistic for a one-sample t test of 1.65. The critical value obtained from examining the table for the t distribution is 2.60. What do you conclude?

Answer

Correct Answer: Accept the null hypothesis

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Suppose you calculate a t statistic for a one-sample t test of –2.65. The critical value obtained from examining the table for the t distribution is –2.60. The value of the t statistic is 2.65 and the critical value from the distribution is 2.60. What do you conclude?

Answer

Correct Answer: Reject the null hypothesis

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The cutoff point, customarily set at the .05, .01, or .001 level, to determine the level of probability is called the ______.

Answer

Correct Answer: α

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Type I error is defined as the ______.

Answer

Correct Answer: Probability associated with rejecting the null hypothesis when it is true

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How many degrees of freedom do we have for a two-sample t test with 178 respondents in the first group and 226 respondents in the second group?

Answer

Correct Answer: 402

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How many degrees of freedom do we have for a one-sample t test with 5,525 U.S. women between the ages of 15 and 49 in the sample?

Answer

Correct Answer: 5,524

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Which quantity is needed to estimate the standard deviation in a sample?

Answer

Correct Answer: The sample standard deviation

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What is the null hypothesis for the research hypothesis, H1: µY > $5.50?

Answer

Correct Answer: H0: µY = $5.50

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The number of degrees of freedom for a two-sample t test is ______.

Answer

Correct Answer: N – 1

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The probability associated with failing to reject the null hypothesis when it is false is referred to as ______.

Answer

Correct Answer: Type II error

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Which of the following α levels is correctly used when deciding whether to reject the null hypothesis?

Answer

Correct Answer: 0.01

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Which of the following α levels is generally used when deciding whether to reject the null hypothesis?

Answer

Correct Answer: 0.05

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When we want to know whether a t statistic is unusual or rare, it is necessary to examine the ______ value.

Answer

Correct Answer: P

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The null hypothesis is symbolized as ______.

Answer

Correct Answer: H0

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