# Question

A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.

(a) Obtain a point estimate for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure allAmericans have healthcare coverage.

(b) Verify that the requirements for constructing a conﬁdence interval for p are satisﬁed.

(c) Construct a 95% conﬁdence interval for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have

healthcare coverage.

(d) Construct a 99% conﬁdence interval for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have

healthcare coverage.

(e) What is the effect of increasing the level of conﬁdence on the width of the interval?

(a) Obtain a point estimate for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure allAmericans have healthcare coverage.

(b) Verify that the requirements for constructing a conﬁdence interval for p are satisﬁed.

(c) Construct a 95% conﬁdence interval for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have

healthcare coverage.

(d) Construct a 99% conﬁdence interval for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have

healthcare coverage.

(e) What is the effect of increasing the level of conﬁdence on the width of the interval?

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