Answer:
[0.4979, 0.5479]
Step-by-step explanation:
-We first determine the sample proportion:

-The confidence intervals of a sample proportion is calculated using the formula:

#We substitute for the sample proportion and z value to get the Confidence interval:
![CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\=0.5238\pm 1.645\times \sqrt{\frac{0.5238\times0.4762}{1008}}\\\\=0.5238\pm0.0259\\\\=[0.4979,0.5497]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm%201.645%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.5238%5Ctimes0.4762%7D%7B1008%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm0.0259%5C%5C%5C%5C%3D%5B0.4979%2C0.5497%5D)
Hence, the 90% confidence intervals is [0.4979,0.5479]
Answer: 53
Step-by-step explanation:
53
Answer:
r=8
Step-by-step explanation:
Answer:
V equal a3
Step-by-step explanation:
Answer: There are 48 butterflies altogether.
Step-by-step explanation:
Since we have given that
The ratio of number of pink butterflies to the number of yellow butterflies is 3:5
So,
Let the number of pink butterflies be 3x
Let the number of yellow butterflies be 5x
As we have given that there are 18 pink butterflies,
So,

So, total number of butterflies is given by

Hence, there are 48 butterflies altogether.