// Numbas version: exam_results_page_options {"name": "SP NC Pie chart for LANTITE test dates (7)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/when_sitting_lantite_test.png", "/srv/numbas/media/question-resources/when_sitting_lantite_test.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "SP NC Pie chart for LANTITE test dates (7)", "tags": ["LANTITE", "Western Sydney MESH"], "metadata": {"description": "

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. NC = Non-Calculator strand. Students are asked a multiple choice question based on a pie chart. The question is randomly selected from a pool of seven questions.

", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "
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In April, some Teacher Education students were asked when they were planning to sit the LANTITE numeracy test.

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Their responses are shown in the pie chart below.

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", "advice": "

{advice}

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The question for the randomly selected scenario.

", "templateType": "anything", "can_override": false}, "scenarios": {"name": "scenarios", "group": "Ungrouped variables", "definition": "json_decode(safe(\"[\\n{\\n\\\"qn\\\":\\\"What percentage of students were hoping to sit the test in the May window?\\\",\\n\\\"ans\\\":\\\"6.2%\\\",\\n\\\"wrong1\\\":\\\"18.8%\\\",\\n\\\"wrong2\\\":\\\"266.2%\\\",\\n\\\"wrong3\\\":\\\"7.2%\\\",\\n\\\"feedback\\\":\\\"All of the percentages must add to 100%.
The two May sectors must add to 25%.
25% - 18.8% = 6.2%.
6.2% of students were hoping to sit the test in the May window.\\\"\\n},\\n{\\\"qn\\\":\\\"How many students indicated that they were probably sitting the test in the November test window?\\\",\\n\\\"ans\\\":\\\"2\\\",\\n\\\"wrong1\\\":\\\"1\\\",\\n\\\"wrong2\\\":\\\"3\\\",\\n\\\"wrong3\\\":\\\"4\\\",\\n\\\"feedback\\\":\\\"12.5% of students indicated that they were probably sitting the test in the November test window.
As a fraction this is $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{8\\\\\\}$.
$\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{8\\\\\\}$ of 16 = 2.
Therefore 2 students indicated that they were probably sitting the test in the November test window.\\\"\\n},\\n{\\\"qn\\\":\\\"What percentage of students were probably sitting the test in the second half of the year?\\\",\\n\\\"ans\\\":\\\"62.5%\\\",\\n\\\"wrong1\\\":\\\"12.5%\\\",\\n\\\"wrong2\\\":\\\"50%\\\",\\n\\\"wrong3\\\":\\\"25%\\\",\\n\\\"feedback\\\":\\\"August and November are in the second half of the year.
50% + 12.5% = 62.5%.
Therefore 62.5% of students were probably sitting the test in the second half of the year.\\\"\\n},\\n{\\\"qn\\\":\\\"What fraction of students responded in the Other category?\\\",\\n\\\"ans\\\":\\\"$\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{8\\\\\\}$\\\",\\n\\\"wrong1\\\":\\\"$\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{4\\\\\\}$\\\",\\n\\\"wrong2\\\":\\\"$\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{2\\\\\\}$\\\",\\n\\\"wrong3\\\":\\\"$\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{5\\\\\\}$\\\",\\n\\\"feedback\\\":\\\"The Other category is 12.5% of the total.
25% is equal to $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{4\\\\\\}$ and 12.5% is half of 25%.
Therefore 12.5% is half of $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{4\\\\\\}$, which gives $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{8\\\\\\}$.
The Other category is $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{8\\\\\\}$ of the total.\\\"\\n},\\n{\\\"qn\\\":\\\"The type of data collected in this survey is:\\\",\\n\\\"ans\\\":\\\"categorical\\\",\\n\\\"wrong1\\\":\\\"quantitative\\\",\\n\\\"wrong2\\\":\\\"numerical\\\",\\n\\\"wrong3\\\":\\\"proportional\\\",\\n\\\"feedback\\\":\\\"A pie chart always represents categorical data.
That is, data where the survey participants select one option from a number of supplied options.\\\"\\n},\\n{\\\"qn\\\":\\\"What percentage of students nominated one or other of the May test window options?\\\",\\n\\\"ans\\\":\\\"25%\\\",\\n\\\"wrong1\\\":\\\"18.8%\\\",\\n\\\"wrong2\\\":\\\"30%\\\",\\n\\\"wrong3\\\":\\\"6.2%\\\",\\n\\\"feedback\\\":\\\"One May option is labelled as 18.8% and the other May option is not labelled.
However, the two May options together make up $\\\\\\\\frac\\\\\\{1\\\\\\}\\\\\\{4\\\\\\}$ of the chart, which is the same as 25%.\\\"\\n},\\n{\\\"qn\\\":\\\"If 1000 students had been asked the same question, could we conclude that 125 of them would probably sit the test in the November test window?\\\",\\n\\\"ans\\\":\\\"No, because the original sample size was very small.\\\",\\n\\\"wrong1\\\":\\\"Yes, because 12.5% of 1000 is 125.\\\",\\n\\\"wrong2\\\":\\\"No, because 12.5% of 1000 is not 125.\\\",\\n\\\"wrong3\\\":\\\"Yes, because the data is proportional.\\\",\\n\\\"feedback\\\":\\\"The original survey only had 16 respondents. This is a very small sample size.
We cannot be sure that the survey responses will be in the same proportions for a much larger sample (number of people).\\\"\\n}\\n]\"))", "description": "

The list of images with corresponding question, answer, two distractors and the odd/even status of the reading.

", "templateType": "json", "can_override": false}, "scenario": {"name": "scenario", "group": "Ungrouped variables", "definition": "random(scenarios)", "description": "

The randomly selected scenario.

", "templateType": "anything", "can_override": false}, "answer": {"name": "answer", "group": "Ungrouped variables", "definition": "scenario[\"ans\"]", "description": "

The correct answer for the randomly selected scenario.

", "templateType": "anything", "can_override": false}, "dis1": {"name": "dis1", "group": "Ungrouped variables", "definition": "scenario[\"wrong1\"]", "description": "

The first incorrect answer for the randomly selected scenario.

", "templateType": "anything", "can_override": false}, "dis2": {"name": "dis2", "group": "Ungrouped variables", "definition": "scenario[\"wrong2\"]", "description": "

The second incorrect answer for the randomly selected scenario.

", "templateType": "anything", "can_override": false}, "dis3": {"name": "dis3", "group": "Ungrouped variables", "definition": "scenario[\"wrong3\"]", "description": "

The third incorrect answer for the randomly selected scenario.

", "templateType": "anything", "can_override": false}, "advice": {"name": "advice", "group": "Ungrouped variables", "definition": "scenario[\"feedback\"]", "description": "

The customised feedback for the Advice section.

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{question}

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