In a poll, 408 of 1020 randomly selected adults aged 18 or older stated that the
ID: 3178576 • Letter: I
Question
In a poll, 408 of 1020 randomly selected adults aged 18 or older stated that they believe there is too little spending on national defense. Use this information to complete parts (a) through (c) below.
Formula sheet (a) Obtain a point estimate for the proportion of adults aged 18 or older who feel there is too little spending on national defense. ModifyingAbove p with caretpequals= nothing (Simplify your answer.)
(b) Construct a 90% confidence interval for the proportion of adults aged 18 or older who believe there is too little spending on national defense. The 90% confidence interval is ( nothing, nothing). (Round to three decimal places as needed.)
(c) Is it possible that more than 45% of adults aged 18 or older believe there is too little spending on national defense? Is it likely?
A. It is possible and likely.
B. It is possible, but not likely.
C. It is not possible.
Explanation / Answer
a) Point estimate for proportion of adults aged 18 or older who feel there is too little spending on national defense
= 408 / 1020
= 0.4
b) The statistical software output for 90% confidence interval is:
One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald
90% confidence interval results:
Hence,
90% confidence interval will be:
(0.375, 0.425)
c) Since 45% doesn't lie in our interval.
It is possible, but not likely that more than 45% of adults aged 18 or older believe there is too little spending on national defense.
Option B is correct.
Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 408 1020 0.4 0.0153393 0.3747691 0.4252309Related Questions
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