A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select 12 days. Their research yields the number of tickets issued for each day. The data are listed below. The sample standard deviation is 14.12. At α=0.01, test the group’s claim using p-values. 70 48 41 68 69 55 70 57 60 83 32 60 Discussion Prompts Respond to the following prompts in your initial post:
2. Use the online calculator (Links to an external site.) and choose “T-Test Calculator for a Single Sample.”
3. Follow these four steps of a hypothesis test:
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- State the hypothesis and select alpha level
- Locate the critical region
- Compute the t-test statistic
- Make a probability-based decision about the null hypothesis
To make a decision based on the p-value, use the following:
A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select 12 days. Their research yields the number of tickets issued for each day. The data are listed below. The sample standard deviation is 14.12. At α=0.01, test the group’s claim using p-values.
70 48 41 68 69 55 70 57 60 83 32 60
Discussion Prompts
Respond to the following prompts in your initial post:
- State the null hypothesis and alternative hypothesis.
- Calculate the t-statistic.
- What is the p-value?
- Is there enough evidence to support the group’s claim?
5. Discuss how you decided on your answer for question #3. Is there enough evidence to support the group’s claim?
6. Using the online calculator, (Links to an external site.) choose “T-Test Calculator for a Single Sample.” Will your decision change if the alpha value is 0.05?
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