The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-third of the city's househols hae pets . He selects a random sample of 150 households and finds that 64 have pets.
a) Verify that the sample size is large enough to perform a test to complare the population proportion of households in the city with pets to the target.
b) Test, at the 55 level, if theis sample provides evidence that significantly more than one-third of the city's households have a pet. Include all of the details of the test.
c) Verify that the sample size is large enought to use the normal distribution to construct a confidence level fro the proportion of the city's households that own pets.
d) Construct a 95%confidence interval for the proportion of the city's households that own pets. Round the sample proportion and margin of error to three decimal places.