Formulate the appropriate null and alternative hypothesis for each of the following problems.
\(~\)
The proportion of accountants who engage in private practice is no greater than \(0.17\).
Ho: The proportion of accountants who engage in private practice is less than or equal to \(0.17\).
Ha: The proportion of accountants who engage in private practice is greater than \(0.17\).
\(~\)
The mean weight of packs of coffee beans produced by a local coffee farmer is at least \(75\) ounces.
Ho: The mean weight of packs of coffee beans produced by a local coffee farmer is at least \(75\) ounces.
Ha: The mean weight of packs of coffee beans produced by a local coffee farmer is less than \(75\) ounces.
\(~\)
The proportion of businessmen who invests their money in life insurance policies differ from \(0.12\).
Ho: The proportion of businessmen who invests their money in life insurance policies is equal to \(0.12\).
Ha: The proportion of businessmen who invests their money in life insurance policies is not equal to \(0.12\).
\(~\)
A real estate agent claims that the average price for homes in a certain subdivision is \(P1.8M\). You believe that the average price is lower.
Ho: The average price for homes in a certain subdivision is at least \(P1.8M\).
Ha: The average price for homes in a certain subdivision is less than \(P1.8M\).
\(~\)
An advertisement on the TV claims that a certain brand of tire has an average lifetime of \(50000\) miles.
Ho: The average lifetime of a certain brand of tire is \(50000\) miles.
Ha: The avergae lifetime of a ceretain brand of tire is not \(50000\) miles.