stats prob

• Null hypothesis


  Indicated by the notation 𝐻0
• Alternative hypothesis


  Indicated by the notation 𝐻𝑎
• Type I error


  The probability of committing a Type I error is also called the level of significance
• The probability of committing a Type I error at 95% confidence level is 0.05
• Which is NOT a condition to be satisfied concerning the mean for a sample size n to be considered sufficiently large? n < 30
• The critical value for a one-tailed z-test at 0.01 level of significance is 2.326
• Which condition for the p-value is satisfied when the test statistic is within the rejection region? 𝑝 ≥ 𝛼
• Which condition is to be satisfied concerning the proportion p for a sample size n to be considered sufficiently large? 𝑛𝑝 > 5 𝑎𝑛𝑑 𝑛(1 − 𝑝) > 5
• The sum of the proportion of success p and that of failure q is equal to 1
• Which is the least sufficiently large sample size for a test of hypothesis concerning the proportion p when p = 0.1? 45
• Which quantity does NOT have any effect on the z-statistic concerning proportion? level of significance
• Dependent variable


  In bivariate data, the variable that is affected by the change in the value of the other variable
• Which information is NOT found in a scatter plot? correlation coefficient
• When the points in a scatter plot are located on a straight line, the correlation is said to be perfect
• When the points in a scatter plot are concentrated near a straight line, the correlation is said to be strong
• When the line of best fit in a scatter plot goes upward to the right, the direction of the line is said to be positive
• Independent variable


  In a regression analysis, the variable that causes the change in the value of the other variable
• Slope


  The rate of change in the value of the affected variable in a regression analysis
• 1. intercept


  The value of the affected variable when the other variable is zero in a regression analysis
• The Pearson r correlation coefficient equals 0.80
• The strength of correlation is strong
• The slope of the line of best fit is positive
• The y-intercept of the regression line equals 0.36
• The slope of the regression line equals 0.98
• When the x-value of the regression line is zero, y equals the 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑎
• The independent variable is score in Science test
• When x = 41, y is estimated to be equal to 40
• To draw the line of best fit on a scatter plot, the line does not pass through all points
• To draw the regression line, the point (29, 29) should be connected to the point (45.44)
• The probability of committing a Type II error at α = 0.05 and power (1 - β) = 0.95 is 0.10
• A random variable X follows a normal distribution with mean μ = 48 and standard deviation σ = 7