Question

1. A random sample of 860 births at St. Jude’s Hospital included 426 boys. The national proportion of newborn boy babies is 51.2%. Use a 0.01 significance level to test the claim that the proportion of newborn boy babies at this hospital is different than the national average.

a. Draw a normal curve for the sampling distribution for samples of size 860 births. Label the mean and the values for one, two and three standard deviations above and below the mean.

b. Construct a hypothesis test using a significance level of α=0.01. Be sure to show all your calculations, including your test statistic and your calculated P-value. Be sure to clearly argue your conclusion

i. Is this problem about means or proportions?

ii. What is the most appropriate test, a two-tailed test, a right-tailed test, or a left- tailed test?

iii. What is your null hypothesis?

iv. What is your alternative hypothesis?

v. What is the value of the test statistic? Please mark the test statistic on your normal curve. vi. What is the P-value?

vii. What is your decision? Do you reject or not reject ?0?

viii. What is your conclusion? (What does your decision translate to in words? To write your conclusion, please use the conclusion language that was discussed in class.)

c. Construct a 95% confidence interval for the given sample.

Answer #1

A random sample of 866 births included 428 boys. Use a 0.01
significance level to test the claim that 51.2%
of newborn babies are boys. Do the results support the belief
that
51.2% of newborn babies are boys?
What is the test statistic for this hypothesis test?
What is the P-value for this hypothesis test?

A random sample of 837 births included 425 boys. Use a 0.10
significance level to test the claim that 51.2% of newborn babies
are boys. Do the results support the belief that 51.2% of newborn
babies are boys?
a.) Test statistic:
b.) p-value:

A random sample of
825
births included
425
boys. Use a
0.10
significance level to test the claim that
51.3%
of newborn babies are boys. Do the results support the belief
that
51.3%
of newborn babies are boys?
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
The test statistic for this hypothesis test is __
The P-value for this hypothesis test is __
Identify the conclusion for this hypothesis test.
Do the results support...

A random sample of 831 births included 431 boys. Use a 0.01
significance level to test the claim that 51.1% of newborn babies
are boys. Do the results support the belief that 51.5% of newborn
babies are boys?
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places as needed.)

A random sample of 857 births included 429 boys. Use a 0.10
significance level to test the claim that 51.2% of newborn babies
are boys. Do the results support the belief that 51.2% of newborn
babies are boys? Identify the null and alternative hypotheses for
this test. Choose the correct answer below. A. Upper H 0:
pequals0.512 Upper H 1: pnot equals0.512 B. Upper H 0:
pequals0.512 Upper H 1: pgreater than0.512 C. Upper H 0:
pequals0.512 Upper H 1:...

A random sample of 853 births included 430 boys. Use a 0.10
significance level to test the claim that 51.2 % of newborn babies
are boys. Do the results support the belief that 51.2 % of newborn
babies are boys?
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
A. Upper H 0 : pequals 0.512Upper H 1 : pnot equals 0.512 B.
Upper H 0 : pequals 0.512Upper H 1 : pgreater than 0.512...

A random sample of 857 births included 434 boys. Use a 0.10
significance level to test the claim that 51.4% of newborn babies
are boys. Do the results support the belief that 51.4% of newborn
babies are boys?
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
Choose the correct answer below.
A. Upper H 0: pnot equals0.514 Upper H 1: pequals0.514
B. Upper H 0: pequals0.514 Upper H 1: pgreater than0.514
C. Upper H...

In1999 national vital statistics report indicated that about3.9
% of all births produced twins. Is the rate of twin births the same
among very young mothers? Data from a large city hospital found
only1313sets of twins were born to 434 teenage girls. Test an
appropriate hypothesis and state your conclusion. Be sure the
appropriate assumptions and conditions are satisfied before you
proceed
a) Determine the z-test statistic. round to two decimal
places
b) Find P-values

In 1993 a national vital statistics report indicated that about
2.4 % 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 8 sets of twins were born to 554 teenage girls. Test an
appropriate hypothesis and state your conclusion. Be sure the
appropriate assumptions and conditions are satisfied before you
proceed.
a) Are the assumptions and the conditions to perform a
one-proportion z-test met?...

In 1991 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 529 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?
Use a...

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