For each of the given situations, write out the null and alternative hypotheses, being sure to state whether it is one-sided or two-sided. Complete parts a through c.

a) A company reports that last year

4747%

of its reports in accounting were on time. From a random sample this year, they want to know if that proportion has

decreaseddecreased.

Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided.

H0:

pp

y overbary

mu

ModifyingAbove p with caretp

not equals

less than or equals

equals=

greater than>

greater than or equals

less than<

0.470.47 vs.

HA:

pp

ModifyingAbove p with caretp

y overbary

mu

not equals

less than<

less than or equals

greater than>

equals=

greater than or equals

0.470.47The alternative hypothesis is

one dash sided.one-sided.

two dash sided.two-sided.

b) Last year,

4040%

of the employees enrolled in at least one wellness class at the company's site. Using a survey, they want to know if a

differentdifferent

percentage is planning to take a wellness class this year.

Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided.

H0:

pp

mu

ModifyingAbove p with caretp

y overbary

greater than or equals

less than or equals

less than<

not equals

equals=

greater than>

0.40.4 vs.

HA:

mu

y overbary

ModifyingAbove p with caretp

pp

equals=

greater than>

less than<

greater than or equals

less than or equals

not equals

0.40.4The alternative hypothesis is

one dash sided.one-sided.

two dash sided.two-sided.

c) A political candidate wants to know from recent polls if she's going to garner

less than aless than a

majority of votes in next week's election.

Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided.

H0:

mu

ModifyingAbove p with caretp

pp

y overbary

equals=

greater than or equals

less than or equals

not equals

greater than>

less than<

0.50.5 vs.

HA:

pp

y overbary

mu

ModifyingAbove p with caretp

equals=

not equals

less than<

greater than>

greater than or equals

less than or equals

0.50.5The alternative hypothesis is

two dash sided.two-sided.

one dash sided.