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pogonyaev
2 years ago
14

Someone plz help me :(

Mathematics
1 answer:
jeka942 years ago
7 0

Answer:

Step-by-step explanation:

b

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

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

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
Irian bought 2 songbooks and a new guitar. Each songbook cost the same price. The guitar cost $250.10. Before tax, she spent a t
egoroff_w [7]
<h3>1 SongBook costs =$25.85</h3><h3>A guitar costs =$250.10, so 2 Songbooks would cost 2*25.85=51.7.</h3><h3>(2 Songbook) $51.7 * (Guitar) $250.10 = $301.80</h3>
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3 years ago
Dominic makes and sells salsa. The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa. His re
Elan Coil [88]

Answer:the function representing profit, P = 3n + 200

Step-by-step explanation:

The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.

The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.

Profit = revenue - cost or expenses.

Therefore,

The function representing Dominic's profit, P, for selling n jars of salsa will be

P = 5n - 2n + 200 = 3n + 200

8 0
3 years ago
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How to divide 288 by 30?
igor_vitrenko [27]
I took 288 and divided by 30 it gave me 9.6

And when i took 30 and divide it by 288 it gave me 0.104


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3 years ago
Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she
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Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

5 0
3 years ago
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