Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
In this problem, the parameters are given as follows:
Hence, the bounds are given by:
The lower bound is below 0.5, hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
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C.
To find out the rates, you must multiply or divied the ounces and price of on bag of chips to equal the other.
You can divied the 20 ounces into 10 ounces, so you must also divide 3.32 by.
The equals 1.66
Answer:
Using z score formula:
X = z ∂ + µ
= 157.833
Step-by-step explanation:
Solution:
Mean = µ = 1262
Standard deviation = ∂ = 117
(a) 28th percentile for the number of chocolate chip.
P( z < z) = 28%
= 0.28
P( z<- 0.58) = 0.28
Z = -0.58
By using z score formula:
Z = x - µ /∂
-0.58= x – 117 / 1262
X = (- 0.58)(117) + (1262)
= 1194.14
(b) Middle 97% of bag.
P(-z < z < z) = 97%
= 0.97
P( z < z) – p(z < -z) = 0.97
2p(z < z) -1 = 0.97
2p (z < z) = 1 + 0.97
P(z < z) = 1.97 / 2
= 0.99
P(z < 2.33) = 0.99
Z ± 2.33
By using z score formula:
Z = x - µ / ∂
X = z ∂ + µ
= - 2.33 x 117 + 1262
=989.39
Z = 2.33
X = z ∂ + µ
= 2.33 x 117 + 1262
=1533.61
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.
By using standard normal table,
The z dist’n formula:
P(z < z ) = 25%
=0.25
P(z < -0.6745) = 0.25
Z = 0.6745
Using z score formula:
X = z∂ + µ
= - 0.6745 x 117 + 1262
= 1183.0835
First quartile = Q1 =1183.0835
The third quartile is:
P(z<z) = 75%
= 0.75
P(z < 0.6745) = 0.75
Z = 0.6745
Using z score formula:
X = z ∂ + µ
= 0.6745 x 117 + 1262
= 1340.9165
IQR = Q3 – Q1
= 1340.9165 – 1183.0835
= 157.833
Answer:
A
Step-by-step explanation:
In pattern A, we see that each number is 3 more than the one before it. B is incorrect because the pattern is +9. C is incorrect because the numbers in Pattern A is 3x Less than the corresponding numbers in Pattern B. D is incorrect because the numbers in Pattern B are 3x more than the numbers in Pattern A.
Hope this helps!
