BIOSTATISTIC

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Critical Thinking Assignment

Title: Module 04: Critical Thinking

Name: Institute: Date:

Introduction: The most usual applications of Statistics is describing a set of data descriptive and hypothesis testing. The two main branches are descriptive and inferential statistics. People who do not have any formal training in statistics are more familiar with inferential statistics than with descriptive statistics. Descriptive Statistics. The descriptive statistics is the type of statistical analysis which helps to describes about the data in some meaningful way. The statistics is used to describe quantitatively about the important features of the data or information. The descriptive statistics gives the summaries of the given sample as well as the observations done. These summaries or descriptions can either be graphical or quantitative. Inferential Statistics. Inferential statistics is the type of statistics which deals with making conclusions. It inferences about the predictions for the population. It also analyses the sample. Basically, the inferential statistics is the procedure of drawing predictions and conclusions about the given data which is subjected to the random variations. Inferential statistics includes detection and prediction of observational and sampling errors. This type of statistics is being utilized in order to make estimates and test the hypotheses using given data. Using Descriptive Statistics and Inferential Statistics we and examine and interpret the data. For instance the data set about the Gestation Demographics provided in the Framingham Heart Study.

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2019/ 9/ 27 Originality Report

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By analyzing and examining the raw data, we can make and draw logical conclusions or even compare, contrast or rank these data based on the specified attribute. The use of hypothesis statistical measures is one of the most effective ways to examine and compare properly data attributes. This paper will focus on descriptive statistic and hypothesis testing. (Walpole, 1982). Answer to the questions: Before going further and create histogram I would like to find the descriptive summary of the age of the women in the Gestation Demographics SEU dataset. age

Mean 27.25

Standard Error 0.16

Median 26

Mode 23

Standard Deviation 5.78

Sample Variance 33.39

Kurtosis -0.30

Skewness 0.59

Range 30

Minimum 15

Maximum 45

Sum 33682

Count 1236

From the descriptive summary we can conclude that the mean age of the women in the SEU is 27.25 year, while maximum age is 45 and minimum age of the women is 15. The Sample Variance of the age data is 33.39. Histogram: To draw the histogram it is necessary to fine width and numbers of class to create histogram. From the descriptive summary we can see the range of the age data is 30 and number of observation is 1236.

I would like to take the Numbers of classes 10.

Form the histogram we can that the data of the women age is little bit skewed to the right but we can consider it normal distributed (almost). The highest numbers women ages occurred between 21 and 27. Hypothesis Test: Hypothesis tests are also known as tests of significance which tests some claim for the population by analyzing sample. Let consider the following Hypothesis Test

Null Hypothesis: H0 The mean age of women giving birth is 37 years old. Alternative Hypothesis: H1 The mean age of women giving birth is not 37 years old.

Significance Level (Alpha =0.05). Decision Rule: If P-Value is less than 0.05 Reject the Null hypothesis. The data is normal distributed and sample is large enough so we can use the following formula to find the z test.

Using excel: Mu 37

Mean 27.251

Standard Deviation 5.779

Count 1236

Z-Score -1.687

P-Score 0.046

Decision: Reject the null hypothesis because P-Value (0.046) is less than 0.05. Conclusion: Based on the z test we can see in the test table that the p value is less than the significance level, we found significance evidence against null hypothesis, we reject the null hypothesis and concluded that the mean age of women giving birth is not 37 years old.

References

Walpole, R. (1982). Introduction to Statistics. (3rd ed.). Prentice Hall Publication. Reid, H. (2013, August). Introduction

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p g to Statistics. SAGE Publication.

Histogram: age 15-18 18-21 21-24 24-27 27-30 30-33 33-36 36-39 39-42 42-45 23 178 259 253 199 127 89 71 29 8 BIN

Frequency

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Student paper

The most usual applications of Statistics is describing a set of data descriptive and hypothesis testing. The two main branches are descriptive and inferential statistics. People who do not have any formal training in statistics are more familiar with inferential statistics than with descriptive statistics.

Original source

The most usual applications of Statistics is describing a set of data descriptive statistics hypothesis testing and inferential statistics The two main branches are descriptive and inferential statistics People who do not have any formal training in statistics are more familiar with inferential statistics than with descriptive statistics

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Student paper

The descriptive statistics is the type of statistical analysis which helps to describes about the data in some meaningful way. The statistics is used to describe quantitatively about the important features of the data or information. The descriptive statistics gives the summaries of the given sample as well as the observations done. These summaries or descriptions can either be graphical or quantitative.

Original source

The descriptive statistics is the type of statistical analysis which helps to describes about the data in some meaningful way The statistics is used to describe quantitatively about the important features of the data or information The descriptive statistics gives the summaries of the given sample as well as the observations done These summaries or descriptions can either be graphical or quantitative

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Student paper

Inferential statistics is the type of statistics which deals with making conclusions. It inferences about the predictions for the population.

Original source

Inferential statistics Inferential statistics is the type of statistics which deals with making conclusions It inferences about the predictions of the population

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Student paper

It also analyses the sample. Basically, the inferential statistics is the procedure of drawing predictions and conclusions about the given data which is subjected to the random variations. Inferential statistics includes detection and prediction of observational and sampling errors. This type of statistics is being utilized in order to make estimates and test the hypotheses using given data.

Original source

It also analyses the sample Basically, the inferential statistics is the procedure of drawing predictions and conclusions about the given data which is subjected to the random variations Inferential statistics includes detection and prediction of observational and sampling errors This type of statistics is being utilized in order to make estimates and test the hypotheses using given data

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Student paper

By analyzing and examining the raw data, we can make and draw logical conclusions or even compare, contrast or rank these data based on the specified attribute.

Original source

By analyzing and examining the raw data, we can make and draw logical conclusions or even compare, contrast or rank these data based on the specified attribute

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Student paper

The use of hypothesis statistical measures is one of the most effective ways to examine and compare properly data attributes. This paper will focus on descriptive statistic and hypothesis testing.

Original source

The use of various descriptive statistical measures is one of the most effective ways to examine properly these business attributes This paper will focus on methods of estimation, confidence interval and hypothesis testing

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Student paper

Answer to the questions:

Original source

Answer to questions

2019/ 9/ 27 Originality Report

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Standard Deviation 5.78 Sample Variance 33.39

Original source

Standard deviation 5.7814 Sample Variance 33.4246

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H0 The mean age of women giving birth is 37 years old.

Original source

H0 The mean age of women giving birth is 37 years old

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H1 The mean age of women giving birth is not 37 years old.

Original source

H1 the mean age of women giving birth is not 37 years old

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If P-Value is less than 0.05 Reject the Null hypothesis.

Original source

Since the p-value is less than the ∝ value of 0.05, there is enough evidence against the null hypothesis

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Standard Deviation 5.779

Original source

Standard deviation 5.7814

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Reject the null hypothesis because P-Value (0.046) is less than 0.05.

Original source

Since the p-value is less than the ∝ value of 0.05, there is enough evidence against the null hypothesis

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Introduction to Statistics.

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Introduction To Statistics -

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Prentice Hall Publication.

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Prentice Hall Publication

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Introduction to Statistics.

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Introduction To Statistics -