Question
(Q1) Mary conducted a study to investigate whether first year science students were more likely than University students in general to use laptops (or tablets)
(Q1) Mary conducted a study to investigate whether first year science students were more likely than University students in general to use laptops (or tablets) to take notes in lectures. Within the population of university students only 20% reported that they used laptops or tablets to take notes in lectures. A random sample of 40 first year science students was selected and it was found that 14 students reported using laptops or tablets to take notes in lectures.
Mary assumed first year science students were no different from University students in general with regards to their use of laptops (tablets) in lectures.She then used a normal approximation to determine the probability of observing 14 or more students, out of 40, using laptops (tablets). Which one of the following statements isfalse?
A. If she didn't use a continuity correction her probability will be an underestimate of the exact probability
B. If she did use a continuity correction her probability will still be an underestimate of the exact probability
C. Assuming Mary's model is correct, the exact probability of observing 14 studentsusing a laptop or tablet to take notes in lectures is 0.0115
D. If Mary repeated this study many times then approxiately 14 times out of 1000she should expect to observe 14 or more first year science students using a laptop or tablet (to take notes in lectures).
E. Based on evidence form Mary's sample,first year science students seem to be more likley to use laptops (tablets) in lectures than the university students in general.
(Q2) A car insurance company has determined that there is a 9% rate of car accidents in one year. However the insurance company finds that among a group of 200 drivers selected at random from the town of Misty Glen, 30 had accidents in the last year. If the 9% rate is correct, estimate (using a normal approximation) the probability of observing 30 or more car accidents in a random sample of 200 drivers. Is there evidence to suggest that the accident rate in Misty Glen is higher than 9%?
0.998; no. Suggestion is that the rate is actually lower.
0.002; no. Suggestion is that accident rate in Misty Glen is no different.
0.002; yes. Suggestion is that rate is actually higher for Misty Glen.
0.002; no. Suggestion is that the rate is actually lower.
0.998; yes. Suggestion is that the rate is actually higher for Misty Glen.
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