Question

An interactive poll found that 324 of 2,266 adults aged 18 or older have at least one tattoo.

?(a) Obtain a point estimate for the proportion of adults who have at least one tattoo.

?(b) Construct a 90 ?% confidence interval for the proportion of adults with at least one tattoo.

?(c) Construct a 98 ?% confidence interval for the proportion of adults with at least one tattoo. ?

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

Answer #1

**Solution:-**

**a) The point estimate for the proportion of adults who
have at least one tattoo is 0.14298.**

**b) 90% confidence interval for the proportion of adults
with at least one tattoo is C.I = (0.1309, 0.1551).**

C.I = 0.14298 + 1.645 × 0.00735

C.I = 0.14298 + 0.0121

**C.I = (0.1309, 0.1551)**

**c) 98% confidence interval for the proportion of adults
with at least one tattoo is C.I = (0.1259, 0.1601).**

C.I = 0.14298 + 2.327 × 0.00735

C.I = 0.14298 + 0.0171

**C.I = (0.1259, 0.1601)**

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