5. Calculate the test statistic: 4.0234 6. What was the contribution toward this test statistic of Hispanic drivers who were wearing a seat belt? Test statistic = 1.4143497 7. Calculate the p-value for this test. p = 0.1338

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Buckle up! - How does seat belt use vary with drivers' ethnic group? It is well known that location and gender (males are less likely to buckle up) are
factors. Here is the data and the mosaic plot for a random sample of male drivers observed in Houston.
Ethnic group of driver
Belted
Not Belted
Total
Black
273
98
371
Hispanic
380
162
542
White
199
67
266
Total
852
327
1179
Ethnicity
Black
Hispanic
White
1. Select the name of the test that should be used to assess if there is a relationship between seat belt use and ethnic group.
OA. x² test of independence
B. One-proportion z-test
C. X goodness of fit
Use of Seat Belt
wearing a seat belt
not wearing a seat belt
Transcribed Image Text:Buckle up! - How does seat belt use vary with drivers' ethnic group? It is well known that location and gender (males are less likely to buckle up) are factors. Here is the data and the mosaic plot for a random sample of male drivers observed in Houston. Ethnic group of driver Belted Not Belted Total Black 273 98 371 Hispanic 380 162 542 White 199 67 266 Total 852 327 1179 Ethnicity Black Hispanic White 1. Select the name of the test that should be used to assess if there is a relationship between seat belt use and ethnic group. OA. x² test of independence B. One-proportion z-test C. X goodness of fit Use of Seat Belt wearing a seat belt not wearing a seat belt
2. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.
]A. The sample size must be at least 30 or the population data must be normally distributed.
|B. There must be an expected count of at least 5 in every cell of the table.
VC. The observations must be independent of one another.
D. There must be at least 10 "success" and 10 "failure" observations.
3. What is the expected value for the number of Hispanic drivers who were wearing a seat belt?
Expected value =
391.67
4. State the degrees of freedom for this test.
df =
2
5. Calculate the test statistic: 4.0234
6. What was the contribution toward this test statistic of Hispanic drivers who were wearing a seat belt?
Test statistic =
1.4143497
7. Calculate the p-value for this test.
p =
0.1338
8. Based on the above p-value, we have little
v evidence against the null hypothesis.
Transcribed Image Text:2. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply. ]A. The sample size must be at least 30 or the population data must be normally distributed. |B. There must be an expected count of at least 5 in every cell of the table. VC. The observations must be independent of one another. D. There must be at least 10 "success" and 10 "failure" observations. 3. What is the expected value for the number of Hispanic drivers who were wearing a seat belt? Expected value = 391.67 4. State the degrees of freedom for this test. df = 2 5. Calculate the test statistic: 4.0234 6. What was the contribution toward this test statistic of Hispanic drivers who were wearing a seat belt? Test statistic = 1.4143497 7. Calculate the p-value for this test. p = 0.1338 8. Based on the above p-value, we have little v evidence against the null hypothesis.
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