Statistics Essay

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The survey statement is Most people would agree that women are controlling

The Level confidence of 95%

Statistics Essay
Statistics Essay
Statistics Essay
Statistics Essay
Statistics Essay

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School: Carnegie Mellon University

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Statistical Discussion
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The study incorporates a survey to ascertain whether the proposition that most people
would agree with women being controlling is statistically correct. The survey was carried out in
the location whereby data was collected concerning the opinion on women being controlling by
nature. The survey evaluates the statistical evidence concerning the extent of truth about the
statement. The survey results were analyzed using the t-test approach to establish whether the
hypothetical proposition is statistically true or false. Besides, the statistical test on the hypothesis
involves the provision of a probability of inconsistency in the statistical computation p-value.
The tests also allow the introduction of the degree of freedom (df) found by n-1 indicating the
number of independent pieces of information in the computation. The test also employs a 95%
level of confidence as being ideal and reliable in the working out of convenient statistical proof.
In this regard, the survey involves a right-tailed t-test whereby the formula t = (x̅- μ) (√n/s). The
survey incorporates a t-test on the sample, n=503, and the critical value being 3.


Hypothesis Testing: t-test Approach

(Survey on Most People agree that Women are controlling)
The survey involves the test for a null hypothesis (Ho) which presumes that most people
agree that women are controlling denoted as (Ho = 3). The alternative hypothesis presumes that
less people would agree with women being controlling denoted as (Ha < 3). The statistical
interpretation of the survey results is given by (A ≤ 3 ≤ B) to provide convenient guidance for the
hypothesis test. The use of the t-test to statistically evaluate the truth of the hypotheses is ideal
since the sample is relatively small and while the population variance being uncertain in this case
whereby random sampling is applied (Park, 2015). Moreover, the t-test is convenient for the
survey as it is simple and easy to interpret.
In the survey, the value of the hypothesized data involves the survey score of the
response from the 503 participants. A comparative benchmark is established between the
computed value of t* and the worked-out value using the P-value and the t-distribution table. The
t* computation involves the establishment of statistical parameters such as x̅ being the sample
mean, μ being the population...

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