According to a censuscompany, 7.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies. She randomly selected 280 births for which the mother was 35 to 39 years old and found 30 low-birth-weight babies. Complete parts (a) through (c) below.

(a) If the proportion oflow-birth-weight babies for mothers in this age group is 0.071, compute the expected number oflow-birth-weight births to35- to39-year-old mothers. What is the expected number of births to mothers 35 to 39 years old that are not low birthweight?

The expected number oflow-birth-weight births to35- to39-year-old mothers is __________

.

The expected number of births to mothers 35 to 39 years old that are not low birth weight is________

(Type integers ordecimals.)

(b) Answer theobstetrician's question at the =0.05 level of significance using thechi-square goodness-of-fit test. State the null and alternative hypotheses for this test.

H0:

p

p

mu

sigma

equals

=

greater than

>

less than

<

not equals

0.071

H1:

p

p

mu

sigma

equals

=

less than

<

not equals

greater than

>

0.071

Use technology to compute theP-value for this test. Use the Tech Help button for further assistance.

P-value=________

(Round to three decimal places asneeded.)

State a conclusion for this test in the context of theobstetrician's question. Choose the correct answer below.

A.

Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

B.

Donotreject the null hypothesis. There isnot sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

C.

Reject the null hypothesis. There isnot sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

D.

Donotreject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

(c) Answer theobstetrician's question at the =0.05 level of significance using az-test for a population proportion. State the null and alternative hypotheses for this test.

H0:

p

equals

=

greater than

>

not equals

less than

<

0.071

H1:

p

not equals

equals

=

greater than

>

less than

<

0.071

Use technology to compute theP-value for this test. Use the Tech Help button for further assistance.

P-value=_______

(Round to three decimal places asneeded.)

State a conclusion for this test in the context of theobstetrician's question. Choose the correct answer below.

A.

Donotreject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

B.

Reject the null hypothesis. There isnot sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

C.

Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

D.

Donotreject the null hypothesis. There isnot sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage oflow-birth-weight babies at the =0.05 level of significance.

I had to repost this sone :( I need help with parts A - C