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Akimi4 [234]
3 years ago
5

50 points

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

answer is a or b

explanation

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I want to take a survey of students at my university to find out what proportion like the new bus service on campus. I believe t
tatiyna

Answer:

You will need to sample at least 3108 students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In this problem, we have that:

\pi = 0.75

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?

You need a sample size of at least n.

n is found when M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.575\sqrt{\frac{0.75*0.25}{n}}

0.02\sqrt{n} = 1.115

\sqrt{n} = \frac{1.115}{0.02}

\sqrt{n} = 55.75

\sqrt{n}^{2} = (55.75)^{2}

n = 3108

You will need to sample at least 3108 students.

4 0
3 years ago
A photography studio charges a sitting fee of $45 plus $2.50 per photograph. Another photography studio has no sitting fee but c
Sveta_85 [38]
The answer would be 12
5 1
3 years ago
Read 2 more answers
Ayuda aqui en este ejercicio (2x+8)2 (el ultimo 2 va elevado)
Ksenya-84 [330]

Answer:

4x^2+32x+64

Step-by-step explanation:

4 0
3 years ago
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
mamaluj [8]

Answer:

Probability of at least two cuckoo eggs is 0.738.

Step-by-step explanation:

probability of cuckoo egg = 0.1

probability of not a cuckoo egg = 1 - 0.1 = 0.9

Probability of at least two cuckoo eggs is

= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +

probability of three cuckoo eggs

= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9

= 0.009 + 0.729

= 0.738  

5 0
3 years ago
Could someone help me with a question?
11111nata11111 [884]
Whats the question ill be happy to help
5 0
3 years ago
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