Mathematics: As a manager for an advertising company, you must plan a campaign designed to increase twitter usage. a recent survey suggests that 85% of adults know what twitter is. how many adults should you survey in order to be 90% confident that your estimate is within 5% of the true population proportion?

As a manager for an advertising company, you must

Ответ:

brandiwingard

11.03.2022

Given:
Sample proportion = 85% = 0.85.
Confidence level (CL) = 90%.
Confidence interval (CI) $\hat{p} \pm z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} } \\ where \\ n=sample\, size \\ z^{*}=1.645 \, at \, 90\% \, CL$

We want the confidence interval to be 5% or 0.05. Therefore
$0.85 - 1.645 \sqrt{ \frac{0.85(1-0.85)}{n} }=0.05 \\ 0.85 - \frac{0.5874}{ \sqrt{n} } =0.05 \\ \frac{0.5874}{ \sqrt{n} }=0.8 \\ \sqrt{n} = .7342 \\ n=0.54$

Because this number is less than 1, a default sample size of 30 (for the normal distribution) is recommended.

30

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Ответ:

lauranfamily

03.07.2022

Mathematics

Answers are below

Step-by-step explanation:

The lead executive's statement says that because the company uses online ads, the revenues have more than doubled. This can be seen on the graph because the Online ad revenue increases while the Printed ad revenue decreases.

The approximate year that the two ad revenues were equal is halfway through the 7th year or at year 7.5

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As a manager for an advertising company, you must plan a campaign designed to increase twitter usage. a recent survey suggests that 85% of adults know what twitter is. how many adults should you survey in order to be 90% confident that your estimate is within 5% of the true population proportion?

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