A random sample of statistics students at a college were asked whether they were in favor legalization of marijuana, not in favor, or unsure. Among non-Nursing majors, 20 of 29 were in favor of legalization. Among Nursing majors, 16 of 35 were in favor of legalization. State hypotheses (in symbols) to test whether there is evidence at the 5% level that the proportion of those in favor of legalization is different between non-Nursing and Nursing majors for students at this college. Calculate the sample statistic Use Normal distribution methods to calculate a z-test statistic, given SE = 0.1246.State the conclusion of the test in context.

If the sample of proportion is tested then the z test is used. It can be tested for one sample and…

Answered: A random sample of statistics students…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A random sample of statistics students at a college were asked whether they were in favor legalization of marijuana, not in favor, or unsure. Among non-Nursing majors, 20 of 29 were in favor of legalization. Among Nursing majors, 16 of 35 were in favor of legalization.

1. State hypotheses (in symbols) to test whether there is evidence at the 5% level that the proportion of those in favor of legalization is different between non-Nursing and Nursing majors for students at this college.
2. Calculate the sample statistic
3. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.1246.
4. State the conclusion of the test in context.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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