Use the following information to answer the question. 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 null hypothesis for this test is H0: p = 0.26 and the alternative hypothesis is Ha: p < 0.26. The researcher collected data from 150 surveys he handed out at a busy park located in the region. Check that the conditions hold so that the sampling distribution of the z-statistic will approximately follow the standard normal distribution. Are the conditions satisfied? If not, choose the condition that is not satisfied. A)No, the researcher did not collect a large enough sample. B)Yes, all the conditions are satisfied. C)No, the population of interest is not large enough to assume independence. D)No, the researcher did not collect a random sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
icon
Related questions
Topic Video
Question

Use the following information to answer the question. 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 null
hypothesis for this test is H0: p = 0.26 and the alternative hypothesis is Ha: p < 0.26. The researcher collected data from
150 surveys he handed out at a busy park located in the region.


Check that the conditions hold so that the sampling distribution of the z-statistic will approximately follow the
standard normal distribution. Are the conditions satisfied? If not, choose the condition that is not satisfied.
A)No, the researcher did not collect a large enough sample.

B)Yes, all the conditions are satisfied.

C)No, the population of interest is not large enough to assume independence.

D)No, the researcher did not collect a random sample.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill