Question 10

  • The type I error is the error of rejecting the null hypothesis when the null hypothesis is true.

    HYPOTHESIS TESTING OUTCOMES Reality The Null Hypothesis Is True Accurate Type I Error h The Null Hypthesis Is True The Alternative Hypothesis is True The Alternative Hypothesis is True Type Il Error Accurate O

Question 13

Types of Hypothesis Tests Right-tail test Ha is more probable Ha: p \> value Left-tail test Ha is more probable Ha: < value Ha is more probable Two-tail test Ha: \# value

  • The right-tailed test is used. So there is a 5 percent area in the rejection region in the right tail of the sampling distribution. If we construct a 90 percent confidence interval, then the upper confidence limit will match the critical value. If the test of hypothesis is rejected at a 5 percent level of significance, then the test statistic fell in the rejection region. In other words, the hypothesized value of mean did not belong to the 90 percent confidence interval.

Question 18

  • A binomial model counts the number of successes out a fixed number of attempts at a task when each attempt has a constant probability of success

    P (X = c) = binompdf(n,p, c) n -\> number of trials p -\> probability of success This finds the probability of exactly c successes, for some number c.

    P (X c) = binomcdf(n, p, c) n -\> number of trials p -\> probability of success This finds the probability of c or fewer successes.

Question 20

P(DnT) "(DIT) p(T) p(T)

Question 25

  • The population of interest is the population you are trying to draw an inference about from the collected data sets.

Question 31

  • Response variable is about each sample, not the whole samples

    Some examples of responding variables in different experiments—things to be observed or measured are: The amount of water absorbed by two different brands of paper towels. How far a ball rolls from different ramp angles. The amount of feed eaten at a bird feeder in response to the type of seed in the feeder.

Question 33

  • \*Ihe margin of error width

  • Notice the difference between sample mean and sample proportion

    Statistic Sample Mean Sample Proportion Standard Deviation of Statisti p(l — p)

Question 37

  • Equality of standard deviations is not necessary for a t-test to be valid. One of the conditions of a t-test is that the underlying populations must be normally distributed.

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