Hypothesis Testing For a Population Mean
The Idea of Hypothesis Testing
Suppose we want to show that only children have an average higher cholesterol level than the national average. It is known that the mean cholesterol level for all Americans is 190. Construct the relevant hypothesis test: H0: = 190

H1: > 190

We test 100 only children and find that
x = 198
and suppose we know the population standard deviation
= 15.
Do we have evidence to suggest that only children have an average higher cholesterol level than the national average? We have
z is called the test statistic.
Since z is so high, the probability that Ho is true is so small that we decide to reject H0 and accept H1. Therefore, we can conclude that only children have a higher average cholesterol level than the national average.

Rejection Regions
Suppose that = .05. We can draw the appropriate picture and find the z score for -.025 and .025. We call the outside regions the rejection regions.

We call the blue areas the rejection region since if the value of z falls in these regions, we can say that the null hypothesis is very unlikely so we can reject the null hypothesis Example
50 smokers were questioned about the number of hours they sleep each day. We want to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.7 hours of sleep. We follow the steps below.

Compute a rejection region for a significance level of .05. If the sample mean is 7.5 and the population standard deviation is 0.5, what can you conclude?
Solution
First, we write write down the null and alternative hypotheses H0: = 7.7 H1: < 7.7 This is a left tailed test. The z-score that corresponds to .05 is -1.645. The critical region is the area that lies to the left of -1.645. If the z-value is less than -1.645 there we will reject the null hypothesis and accept the...

...two sections outlining the statistical analysis of data and hypothesistesting to observe if CCResort have met their 2 major key performance indicators (KPIs)
1 More than 40% of their customers stay for a full week (i.e. seven nights);
2 The average customer spends more than $255 per day in excess of accommodation costs.
Figures at a glance
This section of the report aims to give users a better understanding of the...

...Quantitative Techniques
Lab 5 (Topic 3: HypothesisTesting)
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Procedure for HypothesisTesting
Step 1: Formulate the null and alternative hypothesis. Draw the one-tail or two- tail test diagram.
Step 2: Specify the level of significance. Determine the critical value (s).
Step 3: Identify the test statistics to be used and calculate it.
Step 4: Draw the...

...HypothesisTesting: Two-Sample Case for the Mean
Many cases in the social sciences involve a hypothesis about the difference between two groups (i.e. men and women, control and experiment). We analyze statistics from two samples, and the hypothesis and confidence interval would deal with the difference between two population means. The following factors are important in hypothesistesting:
1....

...“Accept” the Null Hypothesis
by Keith M. Bower, M.S. and James A. Colton, M.S.
Reprinted with permission from the American Society for Quality
When performing statisticalhypothesis tests such as a one-sample t-test or the AndersonDarling test for normality, an investigator will either reject or fail to reject the null
hypothesis, based upon sampled data. Frequently, results in Six Sigma projects contain
the verbiage “accept the...

...Running head: MULTIPLE SAMPLE HYPOTHESISTESTING
Multiple Sample HypothesisTesting
RES342: Research 11
June 14, 2010
Multiple Sample HypothesisTesting
The purpose of this paper is to create a hypothesis based on two-sample tests. Two-sample tests compare two sample estimates with each other, whereas one-sample tests compare a sample estimate with a non-sample benchmark (Doane &...

...of statistical concepts in the determination of weight variation in samples
G.E.
Institute of Biology, College of Science
University of the Philippines, Diliman, Quezon City, Philippines
Date Submitted: April 23, 2013
ABSTRACT
Statistics is a mathematical science dealing with the collection, organization, analysis, interpretation, and presentation of data. It provides a more accurate way of expressing data rather than mere observation. This experiment used the...

...observation and derive and write and formulized hypothesis (Formalized Hypotheses example: If skin cancer is related to ultraviolet light , then people with a high exposure to uv light will have a higher frequency of skin cancer). There are three types of scientific statements: there are Hypothesis, Law and Theory.
A hypothesis will give a plausible explanation that will be tested. It can also explain future phenomenon that will need to be tested....

...Nonparametric HypothesisTesting Paper
Team B
RES 342
Eric Hogan
University of Phoenix
Nonparametric HypothesisTesting
Nonparametric testing does not depend on certain data in a particular distribution. Also, nonparametric testing applies techniques that do not assume that the basis of a model is predetermined. In a previous paper we discussed a hypothesis with single and double...