In a program designed to help patients stop smoking,

198198

patients were given sustained care, and

82.882.8%

of them were no longer smoking after one month. Use a

0.010.01

significance level to test the claim that

8181%

of patients stop smoking when given sustained care. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

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Part 1

Let p denote the population proportion of patients who would no longer be smoking after one month when given sustained care. Identify the null and alternative hypotheses.

Upper H 0H0:

p

less than<

not equals

greater than>

equals=

enter your response here

Upper H 1H1:

p

greater than>

equals=

not equals

less than<

enter your response here

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

zequals=enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-valueequals=enter your response here

(Round to three decimal places as needed.)

Part 4

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Accept

Fail to reject

Reject

the null hypothesis. There

is

is not

sufficient evidence to

support

warrant rejection of

the claim that

8181%

of patients stop smoking when given sustained care.