Question

In: Statistics and Probability

In 1998 a national vital statistics report indicated that about 2.3 % of all births produced...

In 1998 a national vital statistics report indicated that about 2.3 % of all births produced twins. Is the rate of twin births the same among very young mothers? Data from a large city hospital found only 9 sets of twins were born to 481 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.

Are the assumptions and the conditions to perform a one-proportion z-test met?

No Yes

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

A. H0: pequals0.023 HA: pnot equals0.023

B. H0: pequals0.023 HA: pless than0.023

C. H0: pequals0.023 HA: pgreater than0.023

D. The assumptions and conditions are not met, so the test cannot proceed.

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

A. z= __________ (Round to two decimal places as needed.)

B. The assumptions and conditions are not met, so the test cannot proceed.

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

A. P-value+ ______ (Round to three decimal places as needed.)

B. The assumptions and conditions are not met, so the test cannot proceed.

What is your conclusion? Choose the correct answer below.

A) Reject H0. The proportion of twin births for teenage mothers is different from the proportion of twin births for all mothers.

B) Fail to reject H0. The proportion of twin births for teenage mothers is not different from the proportion of twin births for all mothers.

C)Reject H0. The proportion of twins births for teenage mothers is greater than the proportion of twin births for all mothers.

D) The assumptions and conditions are not met, so the test cannot proceed.

Expert Solution

Observed	Hypothesized
0.0187	0.023	p (as decimal)
9/481	11/481	p (as fraction)
9.	11.063	X
481	481	n

	0.0068	std. error
	-0.63	z
	.5303	p-value (two-tailed)

	0.0066	confidence interval 95.% lower
	0.0308	confidence interval 95.% upper
	0.0121	margin of error

Are the assumptions and the conditions to perform a one-proportion z-test met?

Yes

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

A. H0: pequals0.023 HA: pnot equals0.023

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

A. z= -0.63(Round to two decimal places as needed.)

B. The assumptions and conditions are not met, so the test cannot proceed.

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

A. P-value= 0.5303(Round to three decimal places as needed.)

What is your conclusion? Choose the correct answer below.

B) Fail to reject H0. The proportion of twin births for teenage mothers is not different from the proportion of twin births for all mothers.

orchestra answered 1 year ago

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In 1998 a national vital statistics report indicated that about 2.3 % of all births produced...

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