A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?

4. A survey found that in a sample of 100 families, 37 owned cats. A survey done 5
years ago found that in a sample of 80 families, 34 owned cats. At a = 0.05 has the
proportion of cat owners changed over the 5-year period?
Solution:
Step 1: State the hypothesis
Ho:
H:
Step 2: The level of significance and critical region,
a = _, df =
Step 3: Compute for the value of t test.
D = _ SD =
Step 4: Decision rule.
Step 5: Conclusion.
and teritical =
and tcomputed =
Transcribed Image Text:4. A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At a = 0.05 has the proportion of cat owners changed over the 5-year period? Solution: Step 1: State the hypothesis Ho: H: Step 2: The level of significance and critical region, a = _, df = Step 3: Compute for the value of t test. D = _ SD = Step 4: Decision rule. Step 5: Conclusion. and teritical = and tcomputed =
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