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rosijanka [135]
3 years ago
13

Answer questions 15 and 16.

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

Step-by-step explanation:

:(

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The data given to the right includes data from ​candies, and of them are red. The company that makes the candy claims that ​% of
Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

n = 39, \pi = \frac{8}{39} = 0.2051

Hence the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
Jdjdnsjhdjdudjdjdjdjdjdjd
Bezzdna [24]

Answer:

Hello

Step-by-step explanation:

2+2=22 facts lol

3 0
3 years ago
Harvey is working on a weekly budget. He earns $459 per week. Harvey spends $200 per week on rent and utilities plus $85 per wee
Sedaia [141]

Answer:

$197

Step-by-step explanation:

459-200-85+23

8 0
3 years ago
Read 2 more answers
4x-3(x-2)-x<br> I have 6. Is that correct?<br> 4x-3x-x=0<br> And -3*-2=6<br> 0+6=6
sesenic [268]
4x - 3(x - 2) - x
4x - 3x + 6 - x
4x - 4x + 6
6....u r correct because ur x's cancel out
8 0
3 years ago
Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
zvonat [6]
8x + By + 92 = 0

(-4; 12) ⇒ x = -4; y = 12

subtitute

8 · (-4) + 12B + 92 = 0
-32 + 12B + 92 = 0
12B + 60 = 0    |subtract 60 from both sides
12B = -60    |divide both sides by 12

B = -5
8 0
3 years ago
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