Della has over 500500500 songs on her mobile phone, and she wants to estimate what proportion of the songs are by a female artist. She takes an SRS of 505050 songs on her phone and finds that 202020 of the songs sampled are by a female artist. Based on this sample, which of the following is a 99\%99%99, percent confidence interval for the proportion of songs on her phone that are by a female artist?

The 99% confidence interval for the proportion of songs on her phone that are by a female artist will be given below. Then the correct option is A.

[tex]0.4 \pm 2.58 \times \dfrac{0.4(1-0.4)}{50}[/tex]

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Della has over 500 songs on her mobile phone, and she wants to estimate what proportion of the songs are by a female artist.

She takes an SRS of 50 songs on her phone and finds that 20 of the songs sampled are by a female artist.

The 99% confidence interval for the proportion of songs on her phone that are by a female artist will be

[tex]\rm x = 20\\\\n = 50 \\\\p = \dfrac{20}{50} = 0.4\\\\z= 99\% \ confidence\ interval = 2.58[/tex]

Then we know that

[tex]p\pm z \times \dfrac{p(1-p)}{n}\\\\0.4 \pm 2.58 \times \dfrac{0.4(1-0.4)}{50}\\\\0.4 \pm 2.58 \times \dfrac{0.4*0.6}{50}\\\\0.4 \pm 0.012384[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652