Peter wants to hang his paintings on a wall that is 2 1/2 meters high and 5 1/2 meters wide. He hangs four paintings each of whi
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Answer:
A Type I error could occur if the test shows that the proportion is above 90%, while in reality, the actual proportion is 90%.
Step-by-step explanation:
Machines in a factory produce circular washers that meet a specific diameter.
The quality control manager routinely assesses samples of washers to ensure that more than 90% conform to the specified diameter.
Let p represent the proportion of washers that meet the specified diameter
Thus, Null hypothesis: p = 90%
Alternative Hypothesis: p > 90%
Now, a Type I error indicates the probability of rejecting the null hypothesis while it is actually true or, in simple terms, the likelihood of incorrectly rejecting a valid hypothesis.
Thus, based on our question, a Type I error would declare that the test convincingly indicates the proportion is over 90%, while in truth, it remains 90%.
Detailed analysis:
The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,
Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.