Amelia, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a cat. A random sample of 66 people who live in New York City were surveyed and 36 identified themselves as a "cat person." A random sample of 53 people who live in the surrounding rural area were selected and 36 identified themselves as a "cat person." Conduct an appropriate hypothesis test at the α=0.1α=0.1 significance level to test Amelia's claim. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. H0: HA: b. What is the appropriate distribution to use for the hypothesis test? c. Find the test statistic.
Amelia, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a cat. A random sample of 66 people who live in New York City were surveyed and 36 identified themselves as a "cat person." A random sample of 53 people who live in the surrounding rural area were selected and 36 identified themselves as a "cat person."
Conduct an appropriate hypothesis test at the α=0.1α=0.1 significance level to test Amelia's claim. Round answers to 4 decimal places where appropriate.
a. State the null and alternative hypotheses.
H0:
HA:
b. What is the appropriate distribution to use for the hypothesis test?
c. Find the test statistic.
Test Statistic:
d. Determine the P-value:
P-value:
e. What decision results from the test?
f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means.
- There is evidence to support the claim that city residents and residents of rural areas differ in how appealing they find owning a cat. The data are statistically significant at α=0.1α=0.1.
- The evidence disproves the claim that city residents and residents of rural areas differ in how appealing they find owning a cat. The data are statistically significant at α=0.1α=0.1.
- The test results are inconclusive. No conclusion can be made about whether city residents and residents of rural areas differ in how appealing they find owning a cat.
- There is insufficient evidence to support the claim that city residents and residents of rural areas differ in how appealing they find owning a cat. The data are not statistically significant at α=0.1α=0.1.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
