Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased sin- 2005 when the mean retail price of history books was $78.01. a. State the hypotheses in words. b. State the hypotheses mathematically. c. Identify the test as being one-tailed or two-tailed. d. Assuming that the test is conducted and that the conclusion is to reject th

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### Hypothesis Testing Exercise

Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased since 2005 when the mean retail price of history books was $78.01.

a. **State the hypotheses in words.**  
   - Null Hypothesis: The mean retail price of history books has not increased since 2005.
   - Alternative Hypothesis: The mean retail price of history books has increased since 2005.

b. **State the hypotheses mathematically.**  
   - Null Hypothesis (\(H_0\)): \(\mu = 78.01\)
   - Alternative Hypothesis (\(H_a\)): \(\mu > 78.01\)

c. **Identify the test as being one-tailed or two-tailed.**  
   - This is a one-tailed test because we are only interested in finding out if the mean price has increased.

d. **Assuming that the test is conducted and that the conclusion is to reject the null hypothesis, state the conclusion in non-technical terms.**  
   - Conclusion: There is sufficient evidence to support the claim that the retail price of history books has increased since 2005.

e. **Assuming that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.**  
   - Conclusion: There is not enough evidence to support the claim that the retail price of history books has increased since 2005.
Transcribed Image Text:### Hypothesis Testing Exercise Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased since 2005 when the mean retail price of history books was $78.01. a. **State the hypotheses in words.** - Null Hypothesis: The mean retail price of history books has not increased since 2005. - Alternative Hypothesis: The mean retail price of history books has increased since 2005. b. **State the hypotheses mathematically.** - Null Hypothesis (\(H_0\)): \(\mu = 78.01\) - Alternative Hypothesis (\(H_a\)): \(\mu > 78.01\) c. **Identify the test as being one-tailed or two-tailed.** - This is a one-tailed test because we are only interested in finding out if the mean price has increased. d. **Assuming that the test is conducted and that the conclusion is to reject the null hypothesis, state the conclusion in non-technical terms.** - Conclusion: There is sufficient evidence to support the claim that the retail price of history books has increased since 2005. e. **Assuming that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.** - Conclusion: There is not enough evidence to support the claim that the retail price of history books has increased since 2005.
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