5. Jada is making circular birthday invitations for her friends.
1 answer:
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Answer:
90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Step-by-step explanation:
We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"
Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.
Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion who answered death penalty "fair" = 58%
n = sample of adults = 510
p = population percentage
<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>
<u>So, 90% confidence interval for the population percentage, p is ;</u>
P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level
of significance are -1.645 & 1.645}
P(-1.645 < < 1.645) = 0.90
P( <
<
) = 0.90
P( < p <
) = 0.90
<u>90% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.544 , 0.616]
Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Answer:
x = 2
Step-by-step explanation:
Given
See attachment
Required
What is the value of x?
The vertical axis represents f(x) while the horizontal represents x.
From the attachment:
f(x) = 2 when x = 2
The circled point on attachment 2 represents the required point
<em>Assume that each box is 1 unit.</em>
