The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we conclude that the correlation in the population is greater than zero by performing the t-statistic? By using the .05 significance level, what is the p-value or critial value?____________ What is your decision regarding Ho or the null hypothosis?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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The following hypotheses are given to determine an One-Tail testing.
H0: p≤0
Ha: p >0
A random sample of 10 paired observations indicated a
By using the .05 significance level, what is the p-value or critial value?____________
What is your decision regarding Ho or the null hypothosis?
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The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables?
H0: p≤0
Ha: p >0
Use the 5% significant level, what is the p-value?____________
What is your decision regarding H0 or the hull hypothesis? Reject or Do not Reject______________
Draw a conclusion. Specifically, what does this indicate about the question?
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The correlation between the number of police on the street and the number of crimes committed, for a sample of 15 comparable sized cities, is 0.45. At the 0.05 significance level is there a positive association in the population between the two variables?
a. State the null and alternate hypotheses.
H0: _____________________________________________________________________
H1: ______________________________________________________________________
b. State the decision rule.
_____________________________________________________________________________
c. Compute the value of the test statistic.
d. What is your decision regarding the null hypothesis? Interpret the result.
_______________________________
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