A start-up company is about to market a new computer printer. It decides to gamble by...

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Question

A start-up company is about to market a new computer printer. It decides to gamble by...

A start-up company is about to market a new computer printer. It decides to gamble by running commericals during the Super Bowl. The company hopes that name recognition will be worth the high cost of the ads. The goal of the company is that over

40 %

of the public recognize its brand name and associate it with computer equipment. The day after the game, a pollster contacts

405

randomly chosen adults and finds that

186

of them know that its company manufactures printers. Would you recommend that the company continue to advertise during the Super Bowl? Explain. (Use the significance level

alpha

equals0.05

.)

Determine the hypotheses for this test. Choose the correct answer below.

A.

H0:

pless than

0.4vs.

HA:

pequals

0.4

B.

H0:

pequals

0.4vs.

HA:

pgreater than

0.4

C.

H0:

pequals

0.4vs.

HA:

pless than

0.4

D.

H0:

pgreater than

0.4vs.

HA:

pequals

0.4

Compute the test statistic. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.

A.

nothing

(Round to two decimal places as needed.)

B.

The test statistic cannot be calculated. The conditions for a hypothesis test are not all met.

Calculate the P-value. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.

A.

nothing

(Round to three decimal places as needed.)

B.

The P-value cannot be calculated. The conditions for a hypothesis test are not all met.

Would you recommend that the company continue to advertise during the Super Bowl?

A.

No

,

because the null hypothesis

is not

rejected at

alpha

equals0.05

.

Thus, there is

insufficient

evidence that more than

40 %

of the public recognizes the product.

B.

Yes

,

because the null hypothesis

is

rejected at

alpha

equals0.05

.

Thus, there is

sufficient

evidence that more than

40 %

of the public recognizes the product.

C.

No

,

because the null hypothesis

is

rejected at

alpha

equals0.05

.

Thus, there is

insufficient

evidence that more than

40 %

of the public recognizes the product.

D.

Yes

,

because the null hypothesis

is not

rejected at

alpha

equals0.05

.

Thus, there is

sufficient

evidence that more than

40 %

of the public recognizes the product.

math Statistics-And-Probability

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