qu.1.topic=General Statistical Inference@

qu.1.1.mode=Multiple Selection@
qu.1.1.name=Definitions 1: Type I, Type II Error@
qu.1.1.comment=@
qu.1.1.editing=useHTML@
qu.1.1.solution=@
qu.1.1.algorithm=@
qu.1.1.uid=ed03d42b-20dc-441c-92b2-48fefe81219d@
qu.1.1.info=  Course=Introductory Statistics;
  Topic=General Inference, Types of Error;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.1.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that are true.</p>@
qu.1.1.answer=1, 2, 3@
qu.1.1.choice.1=The probability of a Type I error is also the significance level of the hypothesis test.@
qu.1.1.choice.2=In practice, the probability of a Type I error is fixed at a reasonable level.@
qu.1.1.choice.3=As the probability of Type II error increases, the power decreases.@
qu.1.1.choice.4=As the value of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>&alpha;</mi></mrow></mstyle></math> increases, so does the value of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>&beta;</mi></mrow></mstyle></math>.@
qu.1.1.choice.5=If, in reality, the null hypothesis is false, both a Type I and Type II error can be committed.@
qu.1.1.fixed=@

qu.1.2.mode=Multiple Selection@
qu.1.2.name=Definitions 1: Hypothesis Testing@
qu.1.2.comment=@
qu.1.2.editing=useHTML@
qu.1.2.solution=@
qu.1.2.algorithm=@
qu.1.2.uid=3782eaf9-bb72-4f71-90da-7285175d79cd@
qu.1.2.info=  Course=Introductory Statistics;
  Topic=General Inference, Hypothesis Testing;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.2.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that are true.</p>@
qu.1.2.answer=1, 2, 3@
qu.1.2.choice.1=In hypothesis testing, if the p-value is sufficiently small, then the null hypothesis can be rejected in favour of the alternate hypothesis.@
qu.1.2.choice.2=If the null hypothesis is false, then the p-value will have a non-uniform distribution that tends towards 0.@
qu.1.2.choice.3=The validity of the results from hypothesis testing is dependent upon the assumption of normality and a simple random sample being satisfied.@
qu.1.2.choice.4=If the null hypothesis is true, then the p-value will always be equal to 0.5.@
qu.1.2.choice.5=As the p-value increases, the evidence against the null hypothesis also increases.@
qu.1.2.fixed=@

qu.1.3.mode=Multiple Selection@
qu.1.3.name=Definitions 2: Type I, Type II Error@
qu.1.3.comment=@
qu.1.3.editing=useHTML@
qu.1.3.solution=@
qu.1.3.algorithm=@
qu.1.3.uid=fb54e97b-d2a4-4cf0-96de-edab246b7767@
qu.1.3.info=  Course=Introductory Statistics;
  Topic=General Inference, Types of Error;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.3.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that are true.</p>@
qu.1.3.answer=1, 2@
qu.1.3.choice.1=As the sample size increases, the probability of Type II error decreases.@
qu.1.3.choice.2=It is desirable to have tests with high power, versus having tests with low power.@
qu.1.3.choice.3=The power of a test is only influenced by the hypothesized parameter value, and not the true parameter value.@
qu.1.3.choice.4=For a two-sided alternative hypothesis, as the difference between the true parameter value and the hypothesized parameter value increases, the probability of a Type I error increases.@
qu.1.3.choice.5=Type I and Type II error are complementary events.@
qu.1.3.fixed=@

qu.1.4.mode=Multiple Selection@
qu.1.4.name=Definitions 1: Confidence Intervals@
qu.1.4.comment=@
qu.1.4.editing=useHTML@
qu.1.4.solution=@
qu.1.4.algorithm=@
qu.1.4.uid=0d658dbd-b454-4b94-ab68-07cb0eee9501@
qu.1.4.info=  Course=Introductory Statistics;
  Topic=General Inference, Confidence Intervals;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.4.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that may be true.</p>
<p>&nbsp;</p>@
qu.1.4.answer=2, 4@
qu.1.4.choice.1=Confidence intervals with a higher level of confidence are narrower than those with a smaller level of confidence.@
qu.1.4.choice.2=A confidence interval is used to illustrate the uncertainty associated with a given point estimate of a parameter.@
qu.1.4.choice.3=The value of the margin of error is influenced by three things: the confidence level, the sample size, and the mean.@
qu.1.4.choice.4=In repeated sampling, the sample mean varies from sample to sample, resulting in confidence intervals that vary from sample to sample.@
qu.1.4.choice.5=Consider a small sample situation.  In order for the conclusions drawn from a confidence interval to be valid, the population from which the sample was obtained must be normally distributed.@
qu.1.4.fixed=@

qu.1.5.mode=Inline@
qu.1.5.name=Applied interpretation of a 95% confidence interval@
qu.1.5.comment=@
qu.1.5.editing=useHTML@
qu.1.5.solution=@
qu.1.5.algorithm=@
qu.1.5.uid=ba8105c4-44a9-4f87-95ac-047d3cc1c37c@
qu.1.5.info=  Course=Introductory Statistics;
  Topic=General Inference, Confidence Intervals;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.5.weighting=1@
qu.1.5.numbering=alpha@
qu.1.5.part.1.name=sro_id_1@
qu.1.5.part.1.editing=useHTML@
qu.1.5.part.1.choice.5=On average, 950 of these confidence intervals would contain the true population parameter, but not the sample statistic, while the remaining 50 confidence intervals would contain the sample statistic, but not the true population parameter.@
qu.1.5.part.1.fixed=@
qu.1.5.part.1.choice.4=On average, 950 of these confidence intervals would be centered around the population parameter.@
qu.1.5.part.1.question=null@
qu.1.5.part.1.choice.3=On average, 950 of these confidence intervals would have the same upper and lower bounds.@
qu.1.5.part.1.choice.2=On average, 950 of these confidence intervals would contain the true value of the sample statistic.@
qu.1.5.part.1.choice.1=On average, 950 of these confidence intervals would contain the true value of the population parameter.@
qu.1.5.part.1.mode=Multiple Choice@
qu.1.5.part.1.display=vertical@
qu.1.5.part.1.answer=1@
qu.1.5.question=<p>Suppose in repeated sampling, one thousand 95% confidence intervals for a population parameter were calculated.&nbsp; Which one of the following statements is true?</p><p>&nbsp;</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.6.mode=Multiple Selection@
qu.1.6.name=Definitions 2: Confidence Intervals@
qu.1.6.comment=@
qu.1.6.editing=useHTML@
qu.1.6.solution=@
qu.1.6.algorithm=@
qu.1.6.uid=486cfca5-a875-443f-aef1-7ca607e0c6ae@
qu.1.6.info=  Course=Introductory Statistics;
  Topic=General Inference, Confidence Intervals;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.6.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that may be true.</p>
<p>&nbsp;</p>@
qu.1.6.answer=1, 3, 5@
qu.1.6.choice.1=One of the assumptions on which confidence intervals are based is that the sample obtained is a simple random sample from the population of interested.@
qu.1.6.choice.2=Assuming the standard deviation stays constant, the margin of error increases as the sample size increases.@
qu.1.6.choice.3=As the standard error of the point estimator of the parameter increases, the width of the confidence interval also increases.@
qu.1.6.choice.4=As the sample size decreases, the precision of the point estimatore of the parameter increases.@
qu.1.6.choice.5=The margin of error, also sometimes known as the error bound, provides an upper limit on the difference between the estimated value of a parameter and its true value, for a given level of confidence.@
qu.1.6.fixed=@

qu.1.7.mode=Inline@
qu.1.7.name=Definition of Type I, Type II Error, Power@
qu.1.7.comment=@
qu.1.7.editing=useHTML@
qu.1.7.solution=@
qu.1.7.algorithm=@
qu.1.7.uid=c42ec948-afd9-4ce0-a885-f76b60e8b2ee@
qu.1.7.info=  Course=Introductory Statistics;
  Topic=General Inference, Types of Error;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.7.weighting=1,1,1,1,1,1,1@
qu.1.7.numbering=alpha@
qu.1.7.part.1.grader=exact@
qu.1.7.part.1.name=sro_id_1@
qu.1.7.part.1.editing=useHTML@
qu.1.7.part.1.display.permute=true@
qu.1.7.part.1.question=(Unset)@
qu.1.7.part.1.answer.2=not reject@
qu.1.7.part.1.answer.1=reject@
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qu.1.7.part.2.question=(Unset)@
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qu.1.7.part.3.display.permute=true@
qu.1.7.part.3.question=(Unset)@
qu.1.7.part.3.answer.2=not reject@
qu.1.7.part.3.answer.1=reject@
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qu.1.7.part.3.credit.2=1.0@
qu.1.7.part.3.credit.1=0.0@
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qu.1.7.part.4.display.permute=true@
qu.1.7.part.4.question=(Unset)@
qu.1.7.part.4.answer.2=false@
qu.1.7.part.4.answer.1=true@
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qu.1.7.part.5.editing=useHTML@
qu.1.7.part.5.display.permute=true@
qu.1.7.part.5.question=(Unset)@
qu.1.7.part.5.answer.2=not rejecting@
qu.1.7.part.5.answer.1=rejecting@
qu.1.7.part.5.mode=List@
qu.1.7.part.5.display=menu@
qu.1.7.part.5.credit.2=0.0@
qu.1.7.part.5.credit.1=1.0@
qu.1.7.part.6.grader=exact@
qu.1.7.part.6.name=sro_id_6@
qu.1.7.part.6.editing=useHTML@
qu.1.7.part.6.display.permute=true@
qu.1.7.part.6.question=(Unset)@
qu.1.7.part.6.answer.2=false@
qu.1.7.part.6.answer.1=true@
qu.1.7.part.6.mode=List@
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qu.1.7.part.6.credit.2=1.0@
qu.1.7.part.6.credit.1=0.0@
qu.1.7.part.7.grader=exact@
qu.1.7.part.7.name=sro_id_7@
qu.1.7.part.7.editing=useHTML@
qu.1.7.part.7.display.permute=true@
qu.1.7.part.7.question=(Unset)@
qu.1.7.part.7.answer.2=probability of Type II error@
qu.1.7.part.7.answer.1=probability of Type I error@
qu.1.7.part.7.mode=List@
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qu.1.7.part.7.credit.2=1.0@
qu.1.7.part.7.credit.1=0.0@
qu.1.7.question=<p>Use the drop down menus to correctly define Type I error, Type II error, and Power.</p><p>&nbsp;</p><p>"To commit a Type I error is to&nbsp;<span>&nbsp;</span><1><span>&nbsp;</span> the null hypothesis when it is&nbsp;<span>&nbsp;</span><2><span>&nbsp;</span>, whereas a Type II error is to&nbsp;<span>&nbsp;</span><3><span>&nbsp;</span> the null hypothesis when it is&nbsp;<span>&nbsp;</span><4><span>&nbsp;</span>.&nbsp; Power is the probability of&nbsp;<span>&nbsp;</span><5><span>&nbsp;</span> the null hypothesis when it is&nbsp;<span>&nbsp;</span><6><span>&nbsp;</span>, and is equal to 1 -&nbsp;<span>&nbsp;</span><7><span>&nbsp;</span>."</p>@

qu.1.8.mode=Multiple Selection@
qu.1.8.name=Definitions 2: Hypothesis Testing@
qu.1.8.comment=@
qu.1.8.editing=useHTML@
qu.1.8.solution=@
qu.1.8.algorithm=@
qu.1.8.uid=edfd871f-2c2f-4bb8-bceb-2ba1d5035b04@
qu.1.8.info=  Course=Introductory Statistics;
  Topic=General Inference, Hypothesis Testing;
  Author=Lorna Deeth;
  Difficulty=Easy;
  Features=None;
  Type=Concept;
@
qu.1.8.question=<p>Which of the following statements are true?</p>
<p>&nbsp;</p>
<p>Note that there may be more than one correct answer; select all that are true.</p>@
qu.1.8.answer=1, 2@
qu.1.8.choice.1=In hypothesis testing, the test statistic is used to determine the p-value, whereas the rejection region is based on the level of significance.@
qu.1.8.choice.2=Whether a hypothesis test is one-sided or two-sided depends on information found in the alternate hypothesis.@
qu.1.8.choice.3=A large p-value indicates that the null hypothesis is true, and the alternate hypothesis should be rejected.@
qu.1.8.choice.4=When setting up a null and alternate hypothesis, the null hypothesis must contain an inequality, while the alternate hypothesis should allow for an equality.@
qu.1.8.choice.5=In hypothesis testing, the value of the test statistic is determined only by the sample statistic and hypothesized parameter value.@
qu.1.8.fixed=@

