The high school senior class is heading out on the school's annual ice-skating trip. Ms. Owens chaperones
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Question:
The high school senior class is heading out on the school's annual ice-skating trip. Ms. Owens chaperones the trip every year. She keeps records of how many students slip and fall at least once while skating. She also tracks whether or not each student has been ice skating prior to the annual senior trip. The table summarizes Ms. Owen's observations of students' ice-skating experiences. The percentages represent the likelihood that students will fall at least once while skating during the ice-skating trip. Use this information to answer the following questions.
Men | Women | |
---|---|---|
Never skated before | 89% | 78% |
Skated previously | 15% | 5% |
- Ms. Owens wants to predict the likelihood that male students who have never skated before will fall at least once with 95% confidence. She wants her margin of error to be 0.02. During this year's trip, she observed that 35% of the men fell at least once. If there are 15 male students on this trip, does Ms. Owens have a large enough sample size?
- Ms. Owens' sample size is 100. Of the participants, 50 had never been skating before, and 50 had previously skated. Calculate the 95% confidence intervals that all the male students on the trip will slip and fall at least once.
- Ms. Owens calculates the 90% confidence interval for female students who will slip and fall during the school trip. She finds that it is between 34% and 51%. How should Ms. Owens interpret this confidence interval?
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