In a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were not accurate among 305 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? H, p=0.1 B. Ho p=0.1 H, p#0.1 OC. Ho p=0.1 H, p>0.1 O D. Ho p=0.1 H p<0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 1.05 (Round to two decimal places as needed) Identify the P-value for this hypothesis test The P-value for this hypothesis test is 294. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test ar A. Fail to reject Hn. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate inaccurate orders is equal to 10%. ns O C. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10% O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? O A. Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant should work to increase that rate O B. Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, it is plausible that the inaccuracy rate is 10% This rate would be too high so the restaurant should work to lower the rate O C. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is acceptable. O D. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is unacceptable, so the restaurant should work to lower that rate

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8.2-3
**Title: Analysis of Fast Food Drive-through Accuracy**

**Introduction:**
In a study examining the accuracy of fast food drive-through orders, a particular restaurant had 36 inaccurate orders out of 305 total orders observed. To assess the acceptability of this accuracy rate, a hypothesis test was conducted using a 0.10 significance level. The aim was to test the claim that the rate of inaccurate orders is equal to 10%.

**Hypothesis Testing:**
1. **Null Hypothesis (H₀): p = 0.1**
2. **Alternative Hypothesis (H₁): p ≠ 0.1**

**Test Statistic:**
The calculated test statistic for this hypothesis is **1.05**. (Rounded to two decimal places.)

**P-value:**
The P-value corresponding to this test statistic is **0.294**. (Rounded to three decimal places.)

**Conclusion:**
- **Decision:** Fail to reject H₀. 
- **Interpretation:** There is not enough evidence to reject the claim that the rate of inaccurate orders is equal to 10%.

**Implications for Accuracy Rate:**
- **Option A:** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant may want to consider increasing the rate of accurate orders. 
- **Option B:** It is plausible that the inaccuracy rate is approximately 10%. Therefore, efforts could focus on maintaining or improving this rate as needed.
- **Option C:** The current evidence allows acceptance of the rate as being approximately 10%.
- **Option D:** No evidence suggests that the inaccuracy rate is unacceptable, observing standard industry practices for accuracy.

**Conclusion:**
Based on the analysis, the rate of inaccurate orders does not significantly differ from 10%, which could imply that the current performance is within acceptable industry standards. Further improvements can always be beneficial for customer satisfaction.

**Note:** This hypothesis test provides a statistical foundation for decision-making but does not account for other qualitative factors that may impact customer experience.
Transcribed Image Text:**Title: Analysis of Fast Food Drive-through Accuracy** **Introduction:** In a study examining the accuracy of fast food drive-through orders, a particular restaurant had 36 inaccurate orders out of 305 total orders observed. To assess the acceptability of this accuracy rate, a hypothesis test was conducted using a 0.10 significance level. The aim was to test the claim that the rate of inaccurate orders is equal to 10%. **Hypothesis Testing:** 1. **Null Hypothesis (H₀): p = 0.1** 2. **Alternative Hypothesis (H₁): p ≠ 0.1** **Test Statistic:** The calculated test statistic for this hypothesis is **1.05**. (Rounded to two decimal places.) **P-value:** The P-value corresponding to this test statistic is **0.294**. (Rounded to three decimal places.) **Conclusion:** - **Decision:** Fail to reject H₀. - **Interpretation:** There is not enough evidence to reject the claim that the rate of inaccurate orders is equal to 10%. **Implications for Accuracy Rate:** - **Option A:** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant may want to consider increasing the rate of accurate orders. - **Option B:** It is plausible that the inaccuracy rate is approximately 10%. Therefore, efforts could focus on maintaining or improving this rate as needed. - **Option C:** The current evidence allows acceptance of the rate as being approximately 10%. - **Option D:** No evidence suggests that the inaccuracy rate is unacceptable, observing standard industry practices for accuracy. **Conclusion:** Based on the analysis, the rate of inaccurate orders does not significantly differ from 10%, which could imply that the current performance is within acceptable industry standards. Further improvements can always be beneficial for customer satisfaction. **Note:** This hypothesis test provides a statistical foundation for decision-making but does not account for other qualitative factors that may impact customer experience.
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