Christopher has a log that is 8 3/4 feet long. Estimate the number of 2 1/4-foot pieces he can cut from his log. Explain how you
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Answer:
98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].
Step-by-step explanation:
We are given that the results of the most recent survey; in a sample of 3100 females, 62% said that they were in favor of the death penalty for convicted murders.
Firstly, the pivotal quantity for 98% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion of females who were in favor of the death penalty for convicted murders = 62%
n = sample of females = 3100
p = population proportion of all American females who support the death penalty
<em>Here for constructing 98% confidence interval we have used One-sample z proportion statistics.</em>
<u>So, 98% confidence interval for the population proportion, p is ;</u>
P(-2.33 < N(0,1) < 2.33) = 0.98 {As the critical value of z at 1% level
of significance are -2.33 & 2.33}
P(-2.33 < < 2.33) = 0.98
P( <
<
) = 0.98
P( < p <
) = 0.98
<u>98% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.59 , 0.64]
Therefore, 98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].