Answer:
The least number of tennis balls needed for the sample is 1849.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population proportion is:
The margin of error for this interval is:
Assume that the proportion of all defective tennis balls is <em>p</em> = 0.50.
The information provided is:
MOE = 0.03
Confidence level = 99%
<em>α</em> = 1%
Compute the critical value of <em>z</em> for <em>α</em> = 1% as follows:
*Use a <em>z</em>-table.
Compute the sample size required as follows:
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.58%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%20%7D%7B0.03%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D1849)
Thus, the least number of tennis balls needed for the sample is 1849.
The conversion of 9.204 to a mixed number will be 9 51/250.
<h3>How to illustrate the information?</h3>
It should be noted that converting decimal to mixed numbers simply means changing them to whole numbers and fractions.
Therefore, 9.204 will be:
= 9 204/1000
= 9 51/250
The percentage equivalent of 3 7/8 will be:
= (3 × 100) + (7/8 × 100)
= 300 + 87.5
= 387.5%
Dividing 72 in the ratio 2:3:4 will be:
= 2/9 × 72 = 16
= 3/9 × 72 = 24
= 4/9 × 72 = 32
Learn more about decimals on:
brainly.com/question/1827193
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Answer:
the answer you're looking for is 15
Step-by-step explanation:
hope it help, have a nice day/night
*Central angle* would be the word you’re looking for.
