StatTutor Lesson - Stating Hypotheses

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Stating hypotheses
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      Question 1

      54

      Question 1.

      When do we conclude that a claim about a parameter value is incorrect?

      A.
      B.

      Incorrect. We compute probabilities on statistics and statistic values, not on parameters and parameter values. So, we conclude a claim about a parameter is incorrect when the probability of getting a statistic at the value observed is very small.
      Correct. We compute probabilities on statistics and statistic values, not on parameters and parameter values. So, we conclude a claim about a parameter is incorrect when the probability of getting a statistic at the value observed is very small.
      Incorrect. Try again.
      2

      Question 2

      112

      Question 2.

      What is the symbol for the null hypothesis?

      A.
      B.

      Incorrect. The symbol for the null hypothesis is H0.
      Correct. The symbol for the null hypothesis is H0.
      Incorrect. Try again.
      2

      Question 3

      158

      Question 3.

      What does µ represent?

      A.
      B.
      C.
      D.

      Incorrect. µ represents the mean of all bottles of chocolate milk filled by the machine.
      Correct. µ represents the mean of all bottles of chocolate milk filled by the machine.
      Incorrect. Try again.
      2

      Question 4

      233

      Question 4.

      True or false: The null hypothesis is a statement of "no difference" or "no change."

      A.
      B.

      Incorrect. This is a correct statement.
      Correct. This is a correct statement.
      Incorrect. Try again.
      2

      Questions 5-6

      306

      Question 5.

      Which hypothesis do we usually wish to find evidence "against?"

      A.
      B.

      Incorrect. We usually wish to find evidence "against" the null hypothesis.
      Correct. We usually wish to find evidence "against" the null hypothesis.
      Incorrect. Try again.
      2

      Question 7

      337

      Question 7.

      If we wish to decide whether the mean is "less than" 16, which inequality symbol do we use in Ha?

      A.
      B.
      C.

      Incorrect. Since we wish to decide whether the mean is "less than" 16, we use the "less than" symbol: "<" in Ha.
      Correct. Since we wish to decide whether the mean is "less than" 16, we use the "less than" symbol: "<" in Ha.
      Incorrect. Try again.
      2

      Question 8

      370

      Question 8.

      If we wish to decide whether the mean is "changed from" 16, which inequality symbol do we use in Ha?

      A.
      B.
      C.

      Incorrect. Since we wish to decide whether the mean is "changed from" 16, we use the "not equal to" symbol: "" in Ha.
      Correct. Since we wish to decide whether the mean is "changed from" 16, we use the "not equal to" symbol: "" in Ha.
      Incorrect. Try again.
      2

      Question 9

      514

      Question 9.

      Because the research question is "Is the mean less than 76.5," what symbol should we use in Ha?

      A.
      B.
      C.

      Incorrect. Since we wish to decide whether the mean is "less than" 75.6, we use the "less than" symbol: "<" in Ha.
      Correct. Since we wish to decide whether the mean is "less than" 75.6, we use the "less than" symbol: "<" in Ha.
      Incorrect. Try again.
      2

      Question 10

      538

      Question 10.

      Why is testing H0: μ = 75.6 versus Ha: µ < 75.6 a “one-sided” test?

      A.
      B.
      C.

      Incorrect. “<” or “>” in Ha is a one-sided test.
      Correct. “<” or “>” in Ha is a one-sided test.
      Incorrect. Try again.
      2

      Question 11

      584

      Question 11.

      Which symbol should we use in Ha to test the research question, "Was the mean greater than 3?"

      A.
      B.
      C.

      Incorrect. Since we wish to decide whether the mean is “greater than” 3, we use the “greater than” symbol: “>” in Ha.
      Correct. Since we wish to decide whether the mean is “greater than” 3, we use the “greater than” symbol: “>” in Ha.
      Incorrect. Try again.
      2

      Question 12

      599

      Question 12.

      Why is testing H0: µ = 3 versus Ha: µ > 3 a "one-sided" test?

      A.
      B.
      C.

      Incorrect. “<” or “>” in Ha is a one-sided test.
      Correct. “<” or “>” in Ha is a one-sided test.
      Incorrect. Try again.
      2

      Question 13

      641

      Question 13.

      Which symbol should we use in Ha to test the research question, "Has the mean changed from 11.50?"

      A.
      B.
      C.

      Incorrect. Since we wish to decide whether the mean has “changed from” 11.5, we use the “not equal to” symbol: “” in Ha.
      Correct. Since we wish to decide whether the mean has “changed from” 11.5, we use the “not equal to” symbol: “” in Ha.
      Incorrect. Try again.
      2

      Question 14

      660

      Question 14.

      Why is testing H0: μ = 11.50 versus Ha: µ \( \neq \) 11.50 a “two-sided” test?

      A.
      B.
      C.

      Incorrect. "" in Ha is a two-sided test.
      Correct. "" in Ha is a two-sided test.
      Incorrect. Try again.
      2

      Question 15

      753

      Question 15.

      True or false: One should never use the symbol \(\overline{x} \) in H0 or Ha.

      A.
      B.

      Incorrect. Hypotheses are claims about parameter values, so parameter symbols must always be used in hypotheses. Statistic symbols are NEVER to be used in hypotheses.
      Correct. Hypotheses are claims about parameter values, so parameter symbols must always be used in hypotheses. Statistic symbols are NEVER to be used in hypotheses.
      Incorrect. Try again.
      2