Course: STA3215 Section 01 Inferential Statistics and Analytics
Course Project –Phase 3
The primary goal of statistics is to conduct a hypothesis. A hypothesis is a prediction about something; hypothesis testing is done to ascertain if a sampled proportion differs from a specified population. For the test to be valid eight steps are conducted to ensure the results are up to par (Lora M. and Richard J. Cook., 2009);
Step One -Identify and come up with a research question, this helps the researcher narrow down to what they want to test.For instance, is the number of patients admitted with infectious disease less than 65 years of age? Such questions are important as they help one in looking for the necessary data and conduct the test efficiently
Step Two-Ascertain that some expectations are met: The method of research used is Simple random sampling, the resultant outcome is only one, and the population is triple the sample size in question
Step Three-State the two types of hypothesis: Identify the null and alternative hypothesis. Null hypothesis shows equality while alternative does not.
Step Four-Determine a definite significant level that is the odds of refuting a null hypothesis through use of alpha
Step Five-Calculate the test statistic, this are constant values that are calculated from the available data when conducting a hypothesis test
Step Six-Change the test statistic into a P value; A p-value is the possibility that a selected sample would differ with the obtained one. It differs depending on the test used and is determined by use of the normal distribution table
Step Seven-Choose between the null and alternative hypothesis, this is where one has to determine whether the stated research question is correct. If the p-value is greater than the standardized value, the null hypothesis should be rejected
Step Eight-Creating a conclusion of your Research Question, determine whether or not the set values are sufficient evidence in confirming your research.
The p-value is the better approach as computation of one value is required to conduct the test, the critical approach is cumbersome as one has to compute the test statistic and also find the key value of the significance level
Question two
Ho:p>=65;Ha p<65
The test is left tailed since the sample proportion is less than the hypothesized population proportion
The test statistics to be used is the t test since the standard deviation is unknown.
=-2.79
Degree of freedom is 60-1=59as observed from the t table the p- value is 0.05
0.5-0.05=0.45 critical value is -1.6
Subtracting alpha from the standard value of 0.5 then looking for the resultant difference in the z table.
Reject the null hypothesis since the test statistic is less than -1.6 which is the critical value.
There is sufficient evidence that the people who are admitted in NLEX hospital are less than 65 years of age.
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