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Using your answers to (i) and (ii), should the math group students conducting the poll be discouraged, or is it reasonable to think their candidate might win? Why or why not?
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If 50% of the class was going to vote for the math group’s candidate, then is the sample outcome of 18 out of 40 voting for the math group’s candidate a reasonably likely occurrence? In other words, is the 50% population percentage plausible given the observed sample proportion of 45%? How many times does the selected sample reflect that 18 or fewer students out of the 40 sampled would vote for the math group’s candidate?
#GENERATE MATH ILLUSTRATIONS GENERATOR#
To carry out the process, use a random number generator or a software program.ĭraw a dot plot to represent the outcome of the 100 simulations.
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To get a sense of how much this sample result of 18 out of 40 could vary in random samples of size $n = 40$, the math group decides to repeatedly simulate the sample selection process and compute the proportion of sampled students that would vote for their candidate for each repeated sample.īecause they are interested in whether their candidate can win with 50% of the vote, they decide to simulate assuming that the seventh grade class is divided 50-50 between the two candidates (50% voting for the math group candidate and the other 50% voting for the other candidate).Ĭarry out this simulation by taking samples of 40 students and recording the proportion of students in the sample that would vote for the math group’s candidate. The math group is puzzling over whether this provides enough information for them to feel confident about their candidate winning with 50% of the vote. The results showed that 18 of the 40 students surveyed said they would vote for the math group’s candidate. How should the students select the sample of 40 from the list if they want to have the best chance of obtaining a representative sample? Use the random number table provided below, a random number generator, or a software program to help select the sample of 40 students.Īll of the 40 students selected from the list of seventh graders in the school responded to the survey. They plan to ask each sampled student whether they plan to vote for their candidate or the other candidate. They obtain the seventh grade list of names from their school principal’s office and select the sample from this list. They do not have the time to interview all seventh graders in the school (even if they could contact them) so they decide to interview a sample of 40 students from that grade. It is expected to be a tight race, so the math group wants to conduct a survey to gain information on their candidate’s prospects. There are only 2 candidates in the race, so a candidate must receive at least 50% of the vote to be elected. Every student in seventh grade will cast a vote. Post to a discussion, or share a resource you created.Members of the seventh grade math group have nominated a member of their group for class president.
#GENERATE MATH ILLUSTRATIONS UPDATE#
Here you can: update your bio, upload a profile picture, and add social media links. Click the My Account tab to adjust privacy settings, and to decide which email notifications you would like to receive and how often. The amount of information you choose to display is completely up to you. Customize your profile and privacy settings: Once you’re signed in, click on the profile link in the top right hand corner of the page.Video files can also be downloaded from Vimeo for sharing. To share video resources with students, please share a provided link that starts with, rather than a link that starts with. ALSO IMPORTANT: There is no reason for K–12 students to create accounts in the IM Community Hub. IMPORTANT: If you are a teacher in a school that is participating in the IM K–5 Math Beta, you need to register with your school email address to access the Beta communities. Sign in or Register: Click on the Sign in button in the upper right hand corner to sign in. If you are new to the hub, click New User/Register Now to create an account.