Question

A random sample of 836 births included 425 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? Identify the null and alternative hypotheses for this test.

Answer #1

Let p denotes the proportion of boys among the newborn babies.

To test against

Here

sample proportion of boys among the newborn babies

and sample size n = 836

The test statistic can be written as

which under H_{0} follows a standard normal
distribution.

We reject H_{0} at 1% level of significance if

Now,

The value of the test statistic

and critical value

Since
, so we fail to reject H_{0} at 1% level of significance
and we can conclude that there is not enough evidence to support
the claim that 51.2% of newborn babies are boys.

A random sample of 837 births included 425 boys. Use a 0.10
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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
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51.3%
of newborn babies are boys?
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
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The P-value for this hypothesis test is __
Identify the conclusion for this hypothesis test.
Do the results support...

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significance level to test the claim that 51.2%
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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?

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significance level to test the claim that 51.1% of newborn babies
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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 856 births included 427 boys. use a .01
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?

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
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Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
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Use a 0.01 significance level to test the claim that the proportion
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national average.
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three standard deviations above and below the...

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that the percentage of newborn baby boys is less than 51.2%.

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