A researcher interested in personal health habits asked a random sample of 3074
ID: 3292723 • Letter: A
Question
A researcher interested in personal health habits asked a random sample of 3074 people how many times they usually worked out per week, and their level of educational attainment.
(a) Which hypotheses should they test?
-H0: Number of weekly workouts is related to educational attainment vs. Ha: Number of weekly workouts is not related to educational attainment
-H0: p1 = p2 = p3 = p4 = 1/4 vs. Ha: at least one of the p's is different from 1/4
-H0: Number of weekly workouts is not related to educational attainment vs. Ha: Number of weekly workouts is related to educational attainment
-H0: p1 = p2 = p3 = 1/3 vs. Ha: at least one of the p's is different from 1/3
(b) The test statistic is 14.150. What is the P-value? (Use 3 decimals.)
(c) What is the appropriate conclusion for = 0.05?
-Reject H0. There is insufficient evidence to claim the number of weekly workouts is related to educational attainment.
-Don't reject H0. There is sufficient evidence to claim the number of weekly workouts is related to educational attainment.
-Reject H0. There is sufficient evidence to claim the number of weekly workouts is related to educational attainment.
-Don't reject H0. There is insufficient evidence to claim the number of weekly workouts is related to educational attainment.
Weekly workouts 0 1-2 3-5 6+ High school 129 244 372 131 Undergraduate degree 206 367 493 277 Graduate degree 176 158 351 170Explanation / Answer
a) Correct set of hypotheses:
H0: Number of weekly workouts is not related to educational attainment vs.
Ha: Number of weekly workouts is related to educational attainment
Option C is correct.
b) P - value = 0.028
c) Reject H0. There is sufficient evidence to claim the number of weekly workouts is related to educational attainment.
Option C is correct.
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