A humane society claims that less than 33?% of U.S. households own a dog. In a random sample of 409 U.S.? households, 155 say they own a dog. At alpha(α) = 0.04?, 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. Choose the correct answer below.
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
A. Ho: p ≤ 0.33
Ha?: p > 0.33
B. Ho: p < 0.33
Ha?: p ≥ 0.33
C. Ho: p = 0.33
Ha?: p ≠ 0.33
D. Ho: p ≥ 0.33
Ha?: p < 0.33