There are approximately 16 fiberoptic lines under the ocean off the Florida coast. These lines carry telephone and Internet communications between Florida and Europe, Latin America, and the Caribbean....

There are approximately 16 fiberoptic lines under the ocean off the Florida coast. These lines carry telephone and Internet communications between Florida and Europe, Latin America, and the Caribbean. During storms, these lines sway dramatically and often damage coral or get caught in anchors. Technical reports including the distance the line swayed indicate that the variance in sway during storms is 32 feet. A study will be conducted to determine whether a new, heavier cable housing will decrease the variance in sway. State the relevant null and alternative hypotheses in terms of s2 , the variance in cable sway.

Many limousines now offer the latest in high-tech gadgets. DVD players, satellite radio, and wireless Internet connections are some of the high-priced accessories. Suppose Boston Coach will install wireless Internet in all of its vehicles if more than 75% of all clients desire this service. A random sample of clients will be selected, and the resulting information will be used to test the relevant hypothesis. Let p represent the proportion of all clients who would like wireless Internet in a limousine. State the null and alternative hypotheses in terms of p.