A humane society claims that less than 32% of U.S. households own a dog. In a random sample of 410 U.S.? households, 153 say they own a dog. At alpha(α) = 0.03, is there enough evidence to support the? society's claim? Complete parts? (a) through? (e) below using the given information.
When you know the number of successes? x, the sample size? n, and the population proportion? p, it can be easier to use the formula shown below to find the standardized test statistic when using a? z-test for a population proportion p.
z = x - np Over StartRoot npq
?A. Write the claim mathematically and identify H0 and Ha.
B. Find the critical value(s) and identify the rejection regions
C. find the standardized test statistic
D. decide whether to reject or fail to reject the null hypothesis
E. interpret the decision in the context of the original claim