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Name: A researcher is wondering whether the drinking habits of adults in a c
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Description: A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is

H0:

p=0.26

and the alternative hypothesis is

Ha: p>0.26.

The researcher collected data from a random sample of 75 adults in the region of interest. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is

H0:

p=0.26

and the alternative hypothesis is

Ha: p > 0.26.

The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the N(0, 1) distribution as the sampling distribution are satisfied. Find the values of the sample proportion,

the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth.

p=0.289,

z=−0.829,

p-value=0.407

p=0.333,

z=0.067,

p-value=0.946

p=0.333,

z=1.586,

p-value=0.056

p=0.667,

z=8.795,

p-value=

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