Question

A study examined whether the content of TV shows influenced the ability of viewers to recall brand names in commercials. The researchers randomly assigned volunteers to watch one of three​ programs, each containing the same nine commercials. The shows were either​ violent, ​sexual, or neutral.​ Afterwards, the subjects were asked to recall the brands of the advertised products. Results are summarized to the right. Complete parts a and b below.

violent sexual neutral

# of subjects 100 100 100

brands recalled

mean 2.14 1.59 3.07

SD 1.62 1.55 1.98

a.) A test of the hypothesis that there is no difference in ad memory between programs with sexual content and those with violent content with a significance level of

alphaαequals=0.050.05

has a​ P-value of

0.0150.015.

State your conclusion.

Select the correct answer below.

A.Since the​ P-value is

less thanless than

0.050.05​,

the null hypothesis that there is no difference between the two programs

cannot becannot be

rejected.

B.Since the​ P-value is

greater thangreater than

0.050.05​,

the null hypothesis that there is no difference between the two programs

cannot becannot be

rejected.

C.Since the​ P-value is

less thanless than

0.050.05​,

the null hypothesis that there is no difference between the two programs

isis

rejected.

D.Since the​ P-value is

greater thangreater than

0.050.05​,

the null hypothesis that there is no difference between the two programs

isis

rejected.​b.) Is there evidence that viewer memory for ads may differ between programs with sexual content and those with neutral​ content? Test an appropriate hypothesis and state your conclusion.​ (Assume a significance level of

alphaαequals=0.050.05​)

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0 : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline equals 0H0: μS−μN=0

Upper H Subscript Upper A Baseline : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline not equals 0HA: μS−μN≠0

B.

Upper H 0 : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline equals 0H0: μS−μN=0

Upper H Subscript Upper A Baseline : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline greater than 0HA: μS−μN>0

C.

Upper H 0 : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline equals 0H0: μS−μN=0

Upper H Subscript Upper A Baseline : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline less than 0HA: μS−μN<0

D.

Upper H 0 : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline not equals 0H0: μS−μN≠0

Upper H Subscript Upper A Baseline : mu Subscript Upper S Baseline minus mu Subscript Upper N Baseline equals 0HA: μS−μN=0

Compute the​ t-statistic.

t=?

​(Round to two decimal places as​ needed.)

Find the​ P-value.

The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

State the conclusion. Choose the correct answer below.

A.

Do not reject

the null hypothesis. There is

insufficientin

evidence to support the claim that​ viewers' memories are different.

B.

Reject

the null hypothesis. There is

insufficient

evidence to support the claim that​ viewers' memories are different.

C.

Do not reject

the null hypothesis. There is

sufficient/sufficient

evidence to support the claim that​ viewers' memories are different.

D.

Reject

the null hypothesis. There is

sufficientsufficient

evidence to support the claim that​ viewers' memories are different.

Answer 1