Exam 10: One-Sample Tests of Hypothesis

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For a one-tailed test of hypothesis,the area of rejection is only in one tail of the curve.

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It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the z-statistic?

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When testing population proportions,the z statistic can be used when n π\pi and n(1 - π\pi )are greater than five.

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The claim that "40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available," is to be investigated at the 0.02 level of risk.If 74 out of the 200 workers sampled said they would return to work,what is our decision?

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If the null hypothesis is false and the researchers do not reject it,then a Type I error has been made.

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When the p-value is 0.001 or less,there is extremely strong evidence that the null hypothesis is true.

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The alternate hypothesis can be accepted only if the null hypothesis is shown to be __________.

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What is the test of hypothesis if no direction is specified under the alternate hypothesis? _____________

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The region or area of rejection defines the location of all values that are so large or so small that the probability of their occurrence under a true null hypothesis is rather remote.

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A restaurant that bills its house account monthly is concerned that the average monthly bill exceeds $200 per account.A random sample of twelve accounts is selected,resulting in a sample mean of $220 and a standard deviation of $12.The t-test is to be conducted at the 5% level of significance.What is our decision? _______________

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If the critical values of the test statistic z are ±\pm 1.96,they are the dividing points between the areas of rejection and non-rejection.

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The average cost of tuition,room and board at small private liberal arts colleges is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher.A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200.Let = 0.05.What is the test statistic for this test?

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A manufacturer claims that less than 1% of all his products do not meet the minimum government standards.A survey of 500 products revealed ten did not meet the standard.What is the null hypothesis? ____________________

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The fifth and final step in testing a hypothesis is taking a sample and,based on the decision rule,deciding if the null hypothesis should be rejected.

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How is a significance level determined and how is it related to Type I error?

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The null hypothesis is rejected when a p-value is greater than a stated significance level.

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The standard normal distribution is the appropriate distribution when testing a hypothesis about a population proportion.

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If the null hypothesis is true and the researchers do not reject it,then a correct decision has been made.

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Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the z-statistic?

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For a one-tailed null hypothesis and a test statistic,Z = 1.96,the p-value is 0.025.

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