Exam 11: Hypothesis Testing for Single Populations

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The executives of CareFree Insurance, Inc. feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance. Ninety employees rate the management as participatory. The appropriate decision is ___.

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In performing a hypothesis test where the null hypothesis is that the population mean is 23 against the alternative hypothesis that the population mean is  not \textbf{ not } equal to 23, a random sample of 17 items is selected. The sample mean is 24.6 and the sample standard deviation is 3.3. It can be assumed that the population is normally distributed. The degrees of freedom associated with this are ___.

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A null hypothesis is μ\mu \le 500. To test this hypothesis, a sample of 40 is taken and alpha is set at 0.01. If the true mean is 524 and population standard deviation is 115, what is the power of the test?

(Multiple Choice)
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In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is  not \textbf{ not } equal to 6.9, a random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.4. It can be assumed that the population is normally distributed. The test statistic for this problem is ___.

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A null hypothesis is π ≥ 0.65. To test this hypothesis, a sample of 400 is taken and alpha is set at 0.05. If the true proportion is π = 0.60, what is the power of the test?

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A company produces an item that is supposed to have a six centimetre hole punched in the centre. A quality control inspector is concerned that the machine which punches the hole is "out of control" (hole is too large or too small). In an effort to test this, the inspector is going to gather a sample punched by the machine and measure the diameter of the hole. The alternative hypothesis used to statistical test to determine if the machine is out of control is

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If If   is set at 10% and alpha is 0.01, then the power of the test is? is set at 10% and alpha is 0.01, then the power of the test is?

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Consider the following null and alternative hypotheses: H0: π = 0.16 Ha: π \neq 0.16 These hypotheses ___.

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Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60, against the alternative hypothesis that the population mean is less than 60. The sample size is 64 and α\alpha =.05. If the sample mean is 58 and the population standard deviation is 16, the observed z value is ___.

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In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it.

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In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is  not \textbf{ not } equal to 4.8, a random sample of 25 items is selected. The sample mean is 4.1 and the sample standard deviation is 1.4. It can be assumed that the population is normally distributed. The observed t value for this problem is ___.

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Whenever hypotheses are established such that the alternative hypothesis is "  not \textbf{ not } equal to", the hypothesis test would be a two-tailed test.

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The probability of committing a Type I error is called the power of the test.

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The executives of CareFree Insurance, Inc. feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance. Eighty employees rate the management as participatory. The appropriate decision is ___.

(Multiple Choice)
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Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a two-tailed test.

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If a null hypothesis was  not \textbf{ not } rejected at the 0.10 level of significance, it will be rejected at a 0.05 level of significance based on the same sample results.

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In a two-tailed hypothesis about a population mean with a sample size of 100 and alpha = 0.10, the rejection region would be ___.

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In a statistical test of hypotheses, a Type II error is committed if

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If the alternative hypothesis states that the mean is  not \textbf{ not } 40 kg, what is the rejection region for the hypothesis test?

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Consider the following null and alternative hypotheses: H0: µ \le 67 Ha: µ > 67 These hypotheses ___.

(Multiple Choice)
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