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Q. 100

Introductory Statistics
Found in: Page 553
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year’s rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

The hypothesis test has resulted in a p-value greater than the alpha value and the null hypothesis is not rejected and the rate is still at 14%.

See the step by step solution

Step by Step Solution

Step 1: Given information

The adult smoking rate=14%

Step 2: Explanation

State the hypothesis:

The null hypothesis states that 14% of adults do smoke and the alternate hypothesis states that not more than 14% of adults do smoke.


The normal distribution is:


The Z test statistic is:

z=p-pp1-pnP=xn =970 =0.129

Substitute the pvalue in the Z statistic formula

z=ppp1-pn =-0.011430.0415 =0.2756

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