MATLAB: An Introduction with Applications
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Author: Amos Gilat
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![### Hypothesis Testing: Textbook Prices at BC Bookstore
#### Problem Statement
Suppose that BC financial aid allots a textbook stipend by claiming that the average textbook at BC bookstore costs $89. You want to test this claim.
#### Null and Alternative Hypotheses
The null and alternative hypothesis in symbols would be:
- \( H_0: \mu = 89 \)
- \( H_1: \mu \neq 89 \)
Options for representation:
- \( H_0: p = 89 \), \( H_1: p \neq 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu > 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu \neq 89 \)
- \( H_0: p = 89 \), \( H_1: p > 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu < 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu = 0 \)
- \( H_0: p \leq 89 \), \( H_1: p > 89 \)
#### Null Hypothesis in Words
The null hypothesis in words would be:
- The average price of all textbooks from the store is $89
Selected option:
- The proportion of all textbooks from the store that are less than 89 is equal to 50%
Other options:
- The average price of all textbooks from the store is greater than $89
- The average price of all textbooks in a sample is $89
- The average price of all textbooks from the store is less than $89
#### Statistical Analysis
Based on a sample of 80 textbooks at the store, you find an average of 99.2 and a standard deviation of 10.
#### Calculation Fields
- The point estimate is: ____ (to 3 decimals)
- The 90% confidence interval (use z*) is: ____ to ____ (to 3 decimals)
#### Conclusion
Based on the results:
- [ ] Reject the null hypothesis
- [ ] Fail to reject the null hypothesis
Once you have completed your analysis, click the "Submit Question" button to submit your answers.](https://content.bartleby.com/qna-images/question/010d10ea-7975-4510-a7a7-5e4f696daa17/2f185ba4-0c54-4354-8d21-75e362ea9c6c/3y1uvk_processed.png)
Transcribed Image Text:### Hypothesis Testing: Textbook Prices at BC Bookstore
#### Problem Statement
Suppose that BC financial aid allots a textbook stipend by claiming that the average textbook at BC bookstore costs $89. You want to test this claim.
#### Null and Alternative Hypotheses
The null and alternative hypothesis in symbols would be:
- \( H_0: \mu = 89 \)
- \( H_1: \mu \neq 89 \)
Options for representation:
- \( H_0: p = 89 \), \( H_1: p \neq 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu > 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu \neq 89 \)
- \( H_0: p = 89 \), \( H_1: p > 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu < 89 \)
- \( H_0: \mu = 89 \), \( H_1: \mu = 0 \)
- \( H_0: p \leq 89 \), \( H_1: p > 89 \)
#### Null Hypothesis in Words
The null hypothesis in words would be:
- The average price of all textbooks from the store is $89
Selected option:
- The proportion of all textbooks from the store that are less than 89 is equal to 50%
Other options:
- The average price of all textbooks from the store is greater than $89
- The average price of all textbooks in a sample is $89
- The average price of all textbooks from the store is less than $89
#### Statistical Analysis
Based on a sample of 80 textbooks at the store, you find an average of 99.2 and a standard deviation of 10.
#### Calculation Fields
- The point estimate is: ____ (to 3 decimals)
- The 90% confidence interval (use z*) is: ____ to ____ (to 3 decimals)
#### Conclusion
Based on the results:
- [ ] Reject the null hypothesis
- [ ] Fail to reject the null hypothesis
Once you have completed your analysis, click the "Submit Question" button to submit your answers.
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- Which of the following is NOT true about P-values in hypothesis testing? ..... Choose the correct answer below. A. If the P is low, the null must go. B. The P-value separates the critical region from the values that do not lead to rejection of the null hypothesis. C. If the P is high, the null will fly. O D. The P-value is an area.arrow_forwardState the null and alternative hypotheses: H0: μ | ≠, <, =, or > _________ H1: μ | ≠, ≥ , =, ≤ , or = _________arrow_forwardQuestion #1arrow_forward
- A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H₂: O O ab What type of test is being conducted in this problem? OA. Two-tailed test OB. Right-tailed test OC. Left-tailed test O O os 6.5 06.5 esc Statcrunch ! 1 Q 2 W #3 E $ ► 4 R % 45 F T MacBook Pro A ^ 6 Y & 7 U * 0arrow_forwardBased on the Cl for the difference you see in this figure, you know that in the NHST approach: Interview Interest 14 12 10 6 2 B Male My Female M www A 2 0 Difference -2 -4 O This is a statistically significant result, p 0.05, fail to reject the null. O Both of the above. O No conclusions can be drawn about the NHST approach-this approach do not apply to paired designs.arrow_forwardQUESTION 4 Express the null hypothesis and the alternative hypothesis in symbolic form for a test to support this claim. Use the correct symbol (u. p. a) for the indicated parameter. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p. is less than 2 in every one thousand. Ho:p> 0.002 H₁; p ≤ 0.002 Ho: p 0.002 Ho: P = 0.002 Hj: p < 0.002arrow_forward
- Need help with #19arrow_forwardA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 Oarrow_forward
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