Stats and Prob Quiz

• This is a statistical method of using sample data to determine the probability that a given hypothesis about the population is true

  Hypothesis Testing
• Steps in Hypothesis Testing (a)


  Formulate the null and alternative hypothesis
• Steps in Hypothesis Testing (b)

  Determine the level of significance
• Steps in Hypothesis Testing (c)

  Calculate the test statistic and identify the rejection region
• Steps in Hypothesis Testing(d)

  Make a decision
• Steps in Hypothesis Testing (e)

  Draw a conclusion
• This is a statement about a population parameter

  Statistical hypothesis
• This is the hypothesis that is assumed to be true. It uses a relation symbol with a statement of equality, such as ≥, ≤, and =, and is denoted by H_0.


  Null Hypothesis
• This is the hypothesis that is contrary to the null hypothesis. It uses a relation symbol with no statement of equality, such as >, <, and ≠, and is denoted by H_A.


  Alternative Hypothesis
• Directional test is a type of hypothesis test that uses only one side or tail of the distribution.

  It can either be a ____-tailed or ____-tailed test.

  right left
• In a ___-tailed test, the alternative hypothesis uses comparatives such as greater than, higher than, better than, superior to, exceeds, above, increased, etc

  right
• In a ___-tailed test, the alternative hypothesis uses comparatives such as less than, smaller than, inferior to, lower than, below, decreased, etc.

  left
• This is a type of hypothesis test that makes use of two opposite sides or tails of the distribution.

  Non-directional test
• A significance level of α=0.05 means that there is a 5% chance of rejecting a true null hypothesis. In other words, we are 95% confident that a right decision is made.

  Level of significance
• This is the set of values in which the null hypothesis is rejected.

  rejection region
• hypothesis that is assumed to be true is called

  null hypothesis
• This refers to the characteristic or measure of a population. This is also referred to as the true or actual value.


  Parameter
• A department head wants to test the claim that the daily average water intake of each employee per day is greater than 1.3 liters. what is the parameter

  the parameter is the daily water intake of each employee per day
•  A teacher got the scores of all her students in a quiz and computed an average score of 95. (parameter or n)

  parameter
• The average number of children in a random sample of 200 households is 2. (parameter or n)


  n
• it depends on the portion of the population

  statistic
• A parameter denotes the ____ ______ that would be obtained if a census rather than a sample was undertaken

  true value
• these tell us how the data behave on an average basis

  central tendency
• what are the two parameters that can characterize a distribution

  mean, standard deviation
• Rejecting the null hypothesis when it is true

  type 1 error
• accepting the null hypothesis when it is false

  type 2 error
• type 1 error is denoted by

  alpha
• type 2 error is denoted by

  beta
• The set of all values of the test statistic that causes us to reject the null hypothesis

  rejection region
• The set of value that causes us to fail to reject the hypothesis

  non-rejectioon
• The set of all values that causes us to fail to reject the null hypothesis

  non-rejection
• A point on a distribution that is compared to the test statistic

  critical value
• A parameter which is a measure of variability with fixed value calculated in the population

  Population standard deviation
• A statistic which means that this variability is calculated from only some individuals in a population

  Sample standard deviation
• It is the average of the distance from each data point in a population

  Population variance