Peyton, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a dog. A random sample of 135 people who live in Las Vegas were surveyed and 88 identified themselves as a "dog person." A random sample of 113 people who live in the surrounding rural area were selected and 61 identified themselves as a "dog person." Conduct an appropriate hypothesis test at the a=0.1 significance level to test Peyton's claim. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho ??? @ H₁: 77 ? 3 b. What is the appropriate distribution to use for the hypothesis test? Select an answere c. Find the test statistic. Test Statistic: d. Determine the P-value: P-value: e. What decision results from the test? Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. There is insufficient evidence to support the claim that city residents and residents of rural areas differ in how appealing they find owning a dog. The data are not statistically significant at a = 0.1. There is evidence to support the claim that city residents and residents of rural areas differ in how appealing they find owning a dog. The data are statistically significant at a = 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 dog. The evidence disproves the claim that city residents and residents of rural areas differ in how appealing they find owning a dog. The data are statistically significant at a = 0.1.