Hypothesis Test
Not what you're looking for?
The lives of many people are affected by a fear that prevents them from flying. The Marist Institute for Public Opinion conducted a poll of 1014 adults, 48%of whom were men. The results reported in USA Today showed that 12% of men and 33% of the women fear flying.
a) Is there sufficient evidence to conclude that there is a significant difference between the percentage of men and the percentage of women who fear flying?
b) Construct a 95% confidence interval for the percentage of men who fear flying.
c) Based on the results from (b) , which is typical of the statement that would be reported in a newspaper or magazine. "Based on the Public opinion poll, the percentage of men who feared flying is 12% with a margin of error of ?_____?
Purchase this Solution
Solution Preview
a) Is there sufficient evidence to conclude that there is a significant difference between the percentage of men and the percentage of women who fear flying?
Here, we're going to use a two-proportion z test. The test statistic is calculated as
First, define the variables (let 1 = men and 2 = women).
n1 = 0.48(1014) = 486.72
n2 = 0.52(1014) = 527.28
x1 = 0.12(486.72) = 58.4064
x2 = 0.33(527.28) = 174.0024
p-hat1 = 0.12
p-hat2 = 0.33
p-hat = (174.0024 + 58.4064) / (1014) = 0.2292
Now, let's set the null and alternative ...
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.