The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.) B. Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) C.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 4E
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The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)

A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.)

B. Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)

C. 

Based on their records, a hospital claims that the proportion, p, of full-term babies born weigh over 7 pounds is 47%. A pediatrician who works with several
hospitals in the community would like to verify the hopital's claim and investigates. In a random sample of 210 babies born in the community, 116 weighed
over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.05 level of significance?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:Based on their records, a hospital claims that the proportion, p, of full-term babies born weigh over 7 pounds is 47%. A pediatrician who works with several hospitals in the community would like to verify the hopital's claim and investigates. In a random sample of 210 babies born in the community, 116 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.05 level of significance? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
Finding the value of the test statistic
The value of this test statistic is the z-value corresponding to the sample proportion under the assumption that H is true. Here is its value.
р-р
p(1-p)
n
58
105
-0.47
0.47(1-0.47)
210
~2.392
Transcribed Image Text:Finding the value of the test statistic The value of this test statistic is the z-value corresponding to the sample proportion under the assumption that H is true. Here is its value. р-р p(1-p) n 58 105 -0.47 0.47(1-0.47) 210 ~2.392
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