![]() Let Y equal the number of times a head is observed in the 15 tosses of this coin. To test H 0: p = 0.5 against the alternative hypothesis H a: p > 0.5, a coin is tossed 15 times. Let p be the probability of tossing a head. It is suspected that a coin is not balanced (not fair). ![]() H 0: The median grade point average of undergraduate mathematics majors is 2.9. H 0: The proportion of viewers watching a particular local news channel is less than 30%. H 0: Support for a presidential candidate is unchanged after the start of the use of TV commercials. ![]() What should the alternative be if he does not want to buy the new machine unless it is (a) more productive than the old one? (b) At least 20% more productive than the old one? 6.1.2.įormulate an alternative hypothesis for each of the following null hypotheses. If μ 0 (given) is the true average of the number of good parts stamped out per hour by their old machine and μ is the corresponding true unknown average for the new machine, the manufacturer wants to test the null hypothesis μ = μ 0 versus a suitable alternative. ![]() An appliance manufacturer is considering the purchase of a new machine for stamping out sheet metal parts. ![]()
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