R2 Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected studentstaking second year mathematics courses, 12 are left-handed. In the general population, about 11% of people are left-handed.Does this provide evidence that second year maths students are more likely to be left-handed than would be expected based on the general population?Let T be the true proportion of people who are left-handed. ThenНо:0.11and Ha :>0.11(Enter your numerical answers as exact values)The test statistic is z =0.919(Enter your answer correct to 3 decimal places)The test statistic comes from a N(NumberNumber) distribution if Ho is true. (Enter the exact values)The P-value is0.179(Enter your answer correct to 3 decimal places)Hence, there isevidence against Ho, that is, there isevidence that mathematically mindednonopeople are more likely to be left-handed. What assumptions did you make? Do these assumptions seem reasonable? Tick all answers that apply.We have a random sample.(Seems reasonable, from what we know of the study design.)The data are normal(Seems reasonable, from the normal quantile plot.)We have a random sample(Does not seem reasonable.)P is approximately normal(Seems reasonable, since nT0 (1 – TO) > 5.)The sample mean is normally distributed(Seems reasonable for a sample size of 85, by the Central Limit Theorem, and since data aren't strongly skewed with big outliers.)The data are normal(Does not seem reasonable, from the normal quantile plot.)

Name: R2 Are mathematically minded people more likely to be left-handed than
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: R2 Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected studentstaking second year mathematics courses, 12 are left-handed. In the general population, about 1