STAT 200 Final Examination STAT 200 | Page 7

2. (b) Determine the test statistic. ​ Show all work; writing the correct test statistic, without supporting work, will receive no credit. 3. (c) Determine the ​ P ​ -value for this test. ​ Show all work; writing the correct P-value, without supporting work, will receive no credit. 4. (d) Is there sufficient evidence to support the researcher’s claim that the proportion of auto accidents that involve teenage drivers is less than 20%? Explain 16. ​ Mimi was curious if regular excise really helps weight loss, hence she decided to perform a hypothesis test. A random sample of 5 UMUC students was chosen. The students took a 30-minute exercise every day for 6 months. The weight was recorded for each individual before and after the exercise regimen. Does the data below suggest that the regular exercise helps weight loss? Assume Mimi wants to use a 0.05 significance level to test the claim 1. (a) Identify the null hypothesis and the alternative hypothesis. 2. (b) Determine the test statistic. ​ Show all work; writing the correct test statistic, without supporting work, will receive no credit. 3. (c) Determine the p-value. ​ Show all work; writing the correct critical value, without supporting work, will receive no credit. 4. (d) Is there sufficient evidence to support the claim that regular exercise helps weight loss? Justify your conclusion 17. ​ In a pulse rate research, a simple random sample of 400 men results in a mean of 80 beats per minute, and a standard deviation of 10.8 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats per minutes. Use a 0.05 significance level to test the researcher’s claim.