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3. According to an online source, 79.8% of students are right-handed in Alberta secondary schools, 7.9% are left-handed, and 12.3% are ambidextrous (source: Census at
3. According to an online source, 79.8% of students are right-handed in Alberta secondary schools, 7.9% are left-handed, and 12.3% are ambidextrous (source: Census at School Canada, 2018-2019). A researcher wishes to test if these percentages seem reasonable among the general population of Albertans, so she obtains a random sample of 200 Albertans, from which she obtains the following frequency distribution: Handedness Right-Handed Left-Handed Ambidextrous Frequency 137 45 18 Does the above give evidence to suggest the proportions of right-handed, left-handed, and/or ambidextrous Albertans differ from the proportions stated in the online source? Test at the 1% significance level. (8 marks)4. A plumbing company is interested in whether the reasons for service calls tend to differ between weekdays and weekends. The following table summarizes a random sample of 400 service calls, giving both the reason why the call was made and whether or not it was the weekend; do the data provide evidence of an association between the two variables? Test at the 5% significance level. (8 marks) 3 STAT 151 Assignment 5 Total: 97 marks Weekend Reason for Call No Yes Total Estimation 44 11 55 Repair 130 60 190 Installation 120 15 135 Other 16 4 20 Total 310 90 400
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