The owner of a small pet items supply store in Northern Sydney wants to open a store in Western Sydney. He only wants to do so if more than 33% of Western Sydney households have pets ( otherwise there won't be enough business). He randomly sample 150 of the households and finds 60 have pets. Is this random sample give the owner a confidence to open a store?

1.Write the hypotheses for this situation.

2.What is the standard error for sampling distribution?

3.Find the test statistics

4.Write an expression for p-value and use a appropriate table to find the value.

5.Give complete conclusion to the store owner.

options:

Choose... a. Since p-value is more than 0.05, do not reject HO and advise the store owner not to open a store. b. HO:p=0.33 vs H1:p> 0.33 c. 0.038 d. HO: p=0.5 vs H1:p>0.5 e. 1.842 f. P(Z>1.842)=0.0322 g. P(Z<1.842)=0.9678

h. Since p-value is smaller than 0.05, reject HO and advise the store owner to open a store.