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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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gina saved $14

convert your percentage into a decimal: 20% converts to 0.20

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8 0
3 years ago
PLEASE HELP!!!!!!!!!!
kobusy [5.1K]
73 feet per second

Steps-
Miles to cover- 50 miles = 50*5280 feet = 264,000 feet
Time it takes- 1 hour = 1*60*60 seconds = 3,600 seconds

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4 0
3 years ago
What is the value of 27÷(−34⋅−45)?<br> 4<br><br> 16/15<br><br> 28 4/5<br><br> 45
MakcuM [25]

Answer:

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5 0
2 years ago
The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
PLSS HELP THANK UUU ILL GIVE U ALL MY POINTS NN ILL COLLOW U ON INSTAAA!
nataly862011 [7]

Answer:

0.14

0.29

0.21

0.27

18.38

0.83

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
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