Question

In: Statistics and Probability

For each of the following statements; on the line preceding the statement, write “T” if you...

For each of the following statements; on the line preceding the statement, write “T” if you believe the statement is True and “F” if you believe the statement is false.

  1. _____ The calculated value of the test statistic measures how far away the sample statistic is from the hypothesized value of the population parameter.

  2. __T__ Sample statistics can be used to estimate the value of a parameter of a population.

  3. _____ When evaluating the results of a hypothesis test, if the calculated value of the test statistic is greater in magnitude than 1.96; we would reject the null hypothesis at the 95% confidence level.

  4. __F__ sp is used to symbolize the standard error of the mean for a sample.

  5. _____ The symbols μ and π represent sample statistics that are typically the focus of hypothesis testing.

  6. _____ The statement, “The null hypothesis is that the average rating of the population is equal to 4.5.” can be represented by: Ho: μ = 4.5.

  7. _____ Statistics are a summary description of a characteristic of sample.

  8. __T__ The confidence level is described as the range in which the true value of the population parameter will fall.

  9. _____ Ho: π = 40% is an example of an alternate hypothesis.

  10. __T__ A parameter denotes the true value of the sample if a census was undertaken.

Solutions

Expert Solution

  1. The calculated value of the test statistic measures how far away the sample statistic is from the hypothesized value of the population parameter. :- FALSE(F)

  2. Sample statistics can be used to estimate the value of a parameter of a population. :-   TRUE(T)

  3. When evaluating the results of a hypothesis test, if the calculated value of the test statistic is greater in magnitude than 1.96; we would reject the null hypothesis at the 95% confidence level. :-  TRUE(T)

  4. sp is used to symbolize the standard error of the mean for a sample. :- FALSE(F)

  5. The symbols μ and π represent sample statistics that are typically the focus of hypothesis testing. :- FALSE(F)

  6. The statement, “The null hypothesis is that the average rating of the population is equal to 4.5.” can be represented by: Ho: μ = 4.5. :-  TRUE(T)

  7. Statistics are a summary description of a characteristic of sample. :- FALSE(F)

  8. The confidence level is described as the range in which the true value of the population parameter will fall. ;- TRUE(T)

  9. Ho: π = 40% is an example of an alternate hypothesis. :- FALSE(F)

  10. A parameter denotes the true value of the sample if a census was undertaken. :- FALSE(F)


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