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Scorpion4ik [409]
3 years ago
9

Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these

households. Suppose Nielsen reports that American Idol had 6565​% of the TV audience. Interpret this result with a​ 95% confidence​ interval, based on a sample size of 12 comma 00012,000 people.
Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, \hat p=0.65.

-We calculate the confidence interval using this value at 95% confidence level:

CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

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24.5 is 33 1/3% of what number?
julia-pushkina [17]

Answer: 73.5

Step-by-step explanation:

The percent <em>33 1/3% </em>represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.

Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.

24.5 x 3 = 73.5.

Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!

7 0
3 years ago
Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will ea
satela [25.4K]

Answer:

30 c + 100 m = 700

c+ m = 14

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations.

The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.

30 c + 100 m = 700

The number of movies (m) plus the number of commercials (c) is equal to 14.

c+ m = 14

The system is:

30 c + 100 m = 700

c+ m = 14

6 0
3 years ago
What is the value of |–3.25| ?
34kurt

<u>Answer:</u>

  • <em>3.25</em>

<u>Step-by-step explanation:</u>

<em>Rule: An absolute value will always be positive. </em>

<em>=> Referring to the rule, the absolute value of |–3.25| is 3.25.</em>

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
Some more free-points education is important
makkiz [27]

Answer:

Thank you for the free-points!!! <3

Step-by-step explanation:

5 0
2 years ago
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Answer:

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Step-by-step explanation:

7,200/45=160

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2 years ago
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