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otez555 [7]
3 years ago
7

A driving school wants to find out which of its two instructors is more effective at preparing students to pass the state’s driv

er’s license exam. An incoming class of 100 students is randomly assigned to two groups, each of size 50. One group is taught by Instructor A; the other is taught by Instructor B. At the end of the course, 30 of Instructor A’s students and 22 of Instructor B’s students pass the state exam. Do these results give convincing evidence that Instructor A is more effective?A driving school wants to find out which of its two instructors is more effective at preparing students to pass the state’s driver’s license exam. An incoming class of 100 students is randomly assigned to two groups, each of size 50. One group is taught by Instructor A; the other is taught by Instructor B. At the end of the course, 30 of Instructor A’s students and 22 of Instructor B’s students pass the state exam. Do these results give convincing evidence that Instructor A is more effective?

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions.  If there is no difference in instructor quality, then the difference in proportions will be zero.  That makes the null hypothesis

H0:  p1 - p2 = 0

The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number.  This makes the alternate hypothesis

Ha:  p1 - p2 > 0

This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)

We will use a significance level of 95% to conduct our test.  This makes the critical values for our test statistic: z > 1.645.  

If our test statistic falls in this region, we will reject the null hypothesis.

<u>See the attached photo for the hypothesis test and conclusion</u>

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3 years ago
A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the
Amanda [17]

Answer:

  • Explained briefly below.

Step-by-step explanation:

<u>For old circular garden:</u>

take the radius as r.

then use the formula to find area of circle: πr² ......this is old garden area.

<u>For new enlarged garden:</u>

the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius

now find area for this new garden:  π(2r)² → 4πr²

In common fractions: (old garden)/(new garden)

                                : ( πr² ) / ( 4πr² )

                                 :    1/4

7 0
3 years ago
Read 2 more answers
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Ilya [14]
4. .5 per ounce so 3.5 for 7 ounces
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6 0
3 years ago
Whats the answer to this problem ?
Hatshy [7]
Well, al you have to do is find the least common multiple of members and non-members.
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3 years ago
Fosmine lounches a model rocket from a elift. The rocket goes up 16.8 feet above the cliff,
7nadin3 [17]

Answer: The final answer I got is -44.9

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3 years ago
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