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Small-Sample Hypothesis Test In 1997, 4% of mothers smoked

Chapter , Problem 28AYU

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QUESTION:

Problem 28AYU

Problem

Small-Sample Hypothesis Test In 1997, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoked 21 cigarettes or more is less than 4% today. She randomly selects 120 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Does the sample data support the obstetrician’s belief? Use the α = 0.05 level of significance.

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QUESTION:

Problem 28AYU

Problem

Small-Sample Hypothesis Test In 1997, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoked 21 cigarettes or more is less than 4% today. She randomly selects 120 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Does the sample data support the obstetrician’s belief? Use the α = 0.05 level of significance.

ANSWER:

Problem 28AYU

Answer:

Step1 of 2:

We have n = 120, x = 3, = 0.05.

   120*0.04(1 - 0.04) < 10.

                            4.6 < 10

a).

Consider the appropriate null and alternative hypothesis are:

 against

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