Critical Thinking An article in a newspaper states that

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QUESTION:

Critical Thinking An article in a newspaper states that the proportion of traffic accidents involving road rage is higher this year than it was last year, when it was 15%. Reconstruct the information of the study in terms of a hypothesis test. Discuss possible hypotheses, possible issues about the sample, possible levels of significance, and the absolute truth of the conclusion. For 519, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. What is the value of the sample test statistic? (c) Find the P-value of the test statistic. Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ? (e) Interpret your conclusion in the context of the application.

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QUESTION:

Critical Thinking An article in a newspaper states that the proportion of traffic accidents involving road rage is higher this year than it was last year, when it was 15%. Reconstruct the information of the study in terms of a hypothesis test. Discuss possible hypotheses, possible issues about the sample, possible levels of significance, and the absolute truth of the conclusion. For 519, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. What is the value of the sample test statistic? (c) Find the P-value of the test statistic. Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ? (e) Interpret your conclusion in the context of the application.

ANSWER:


a) Level of Significance: 95% (? = 0.05).

Null Hypothesis: The proportion of traffic accidents involving road rage is the same as last year (15%).
Alternate Hypothesis: The proportion of traffic accidents involving road rage is higher than last year (15%).

b) Sampling Distribution: The sampling distribution should be a normal distribution. The sample size is sufficient if the sample size is large enough to ensure that the normal distribution is a valid approximation of the population distribution. The sample test statistic is the difference in proportions between the two years.

c) P-value: To ca

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