A random sample of 860 births in New York State included 425 boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to 0.512. Complete parts (a) through (c).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A random sample of 860 births in New York State included 425 boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to 0.512. Complete parts (a) through (c).
a. In testing the common belief that the proportion of male babies is equal to 0.512, identify the values of p and p.
p=
p=
(Round to three decimal places as needed.)
425
-? Select the correct choice below and fill in the answer box(es) within your choice.
860
b. For random samples of size 860, what sample proportions of male births are at least as extreme as the sample proportion of
(Round to three decimal places as needed.)
O A. Those that are less than or equal to
O B. Those that are both greater than or equal to
and less than or equal to
O C. Those that are greater than or equal to
O D. Those that are less than or equal to
and those that are greater than or equal to
425
c. In using the method of randomization with 1000 resamples, it is found that 312 of them have sample proportions that are at least as extreme as oco. Using a significance level of 0.01, what should be concluded about the claim that the proportion of male births is equal to 0.512?
There
sufficient evidence to
v the claim that the proportion of male births is equal to 0.512.
Transcribed Image Text:A random sample of 860 births in New York State included 425 boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to 0.512. Complete parts (a) through (c). a. In testing the common belief that the proportion of male babies is equal to 0.512, identify the values of p and p. p= p= (Round to three decimal places as needed.) 425 -? Select the correct choice below and fill in the answer box(es) within your choice. 860 b. For random samples of size 860, what sample proportions of male births are at least as extreme as the sample proportion of (Round to three decimal places as needed.) O A. Those that are less than or equal to O B. Those that are both greater than or equal to and less than or equal to O C. Those that are greater than or equal to O D. Those that are less than or equal to and those that are greater than or equal to 425 c. In using the method of randomization with 1000 resamples, it is found that 312 of them have sample proportions that are at least as extreme as oco. Using a significance level of 0.01, what should be concluded about the claim that the proportion of male births is equal to 0.512? There sufficient evidence to v the claim that the proportion of male births is equal to 0.512.
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