# Statistics Essay

*label*Mathematics

*timer*Asked: Mar 6th, 2018

*account_balance_wallet*$20

**Question description**

Please see attached for instructions and Calculation

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

The Level confidence of 95%

## Tutor Answer

Check if it is well,

Running head: STATISTICAL DISCUSSION

Statistical Discussion

Student’s Name

Institution Affiliation

Date of Submission

1

STATISTICAL DISCUSSION

2

Abstract

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.

STATISTICAL DISCUSSION

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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