Purpose This activity investigates whether a claim made in the press about the IQs of people who use Internet Explore are less than the IQs of other browsers. This claim was eventually exposed as a hoax, but the claim is used in this activity to prompt an investigation into whether the claim is true in our school. The following links provide details of the claim and its exposure as a hoax. http://media.cbronline.com/news/people-with-higher-iq-are-shunning-internet-explorer-study-010811 ANATOMY OF A HOAX By Thomas Lumley Last week, many newspaper websites (though apparently not any Kiwi ones) reported a study purporting to that users of Internet Explorer had lower IQs than users of other browsers, with IE version 6 users scoring 20 points lower than Firefox users, and more than 40 points lower than users of Opera. The results were supposed to be based on a survey of 100,000 people recruited through ads on websites. This turns out not to be the case. This quotation comes from http://www.statschat.org.nz/category/surveys/ or more specifically http://www.statschat.org.nz/2011/08/07/anatomy-of-a-hoax/ Achievement objective S8-3 In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to: Evaluate a wide range of statistically based reports, including surveys and polls, experiments, and observational studies: o A. critiquing causal-relationship claims o B. interpreting margins of error. Indicators A. Critiquing causal-relationship claims: Identifies the type of study, that is, survey, poll, experiment, or observational study. Draws on understandings of statistical investigations and how the different types of studies are conducted, uses critical questions to evaluate the study, makes a judgment about the claim and justifies it. B. Interpreting margins of error: d:\106751994.doc Page 1 Specific learning outcomes Students will be able to: Critcally evaluate a claim Design an investigation to investigate a claim Make an inference from an investigation Diagnostic snapshot(s) Students discuss the claim reported by Thomas Lumley in groups Do they think it true? How might the data have been collected to make the hoax? How was the claim refuted? Do they think the claim might be true in their school? How might they investigate whether the claim is true in their school? Planned learning experiences Part 1: Student work in pairs and are each given the data card set (IE IQ score v non IE IQ score). This provides the fictitious results of an investigation of this claim amongst Year 13 Students at St Jeanette’s School. Calculate the mean score IQ scores for the IE group and the non IQ group Discuss whether these two means confirm of refute the claim. Calculate the difference between the means. Use randomised resampling with replacement to calculate another difference of the two means Repeat this process in pairs until a set of 100 “differences between the means” have been calculated by the class. Display these observations in a dot plot. Use this set of observations to refute or confirm the claim Part 2: Students work as a class to design an investigation of the claim amongst the Year 13 students of their school. Identify 20 IE users and 20 non IE users. All members of this sample are asked to use this website to provide an IQ rating. http://www.iqtest.com/ d:\106751994.doc Page 2 Place the data into a spreadsheet with one column recording IE/non IE data and the second the IQ rating for each student. Use appropriate software (eg Fathom, iNZight, GenStat) for randomised resampling with replacement to investigate the claim. Possible adaptations to the activity: Newspapers, blogs and magazines often provide reports on similar claims and claims that fit the context of the school and students can be used instead of the claim about browser use and IQ. One good source of links to such claims is http://www.statschat.org.nz Cross curricular links Discussion with teachers of other subjects can provide opportuntities to link current reports to studies in other subjects Extension/enrichment ideas An investigation into the history of bootstrapping can use Wikipedia as a starting point. http://en.wikipedia.org/wiki/Bootstrapping Planned assessment This teaching and learning activity could lead towards assessment in the following achievement standard: 3.8 Conduct an experiment using experimental design principles 3.11 Use statistical methods to make a comparison 3.12 Critically evaluate statistically based reports Spotlight on Pedagogy Planning for effective learning Creating an inclusive learning environment Facilitating shared learning Making connections to prior learning and experience Key competencies Thinking Students hypothesise, investigate, analyse and evaluate. Students design investigations, explore and use patterns and relationships in data and they predict and envision outcomes. Students ask questions, want to know ‘why’, make connections and discern if answers are reasonable. Students deal with uncertainty and variation, they seek patterns and generalisations. d:\106751994.doc Page 3 Relating to others Students work in groups, they debate solutions, negotiate meaning and communicate thinking. Students work collaboratively and cooperatively, taking on a range of roles. They think, share ideas in pairs, and share ideas in groups of four. Values Students will be encouraged to value: innovation, inquiry, and curiosity, by thinking critically, creatively, and reflectively Planning for content and language learning Use the glossary for mathematics and statistics. http://seniorsecondary.tki.org.nz/Mathematics-and-statistics/Glossary d:\106751994.doc Page 4