survey asked 823 randomly sampled registered voters in California you support or oppose drilling Oll and natural gas Off the coa prnia? Or, do you not know enough to say?" The responses were separated based on whether or not the respondent graduated from college. ETT College Graduate Not a College Graduate Support 153 139 Oppose 190 124 Do Not Know 106 111 Total 449 374 the following proportions: = grads; do not know = .23608 llege grads; donot know = .29679 duct a hypothesis test to determine if this difference is statistically significant (Pcollege grads; do not know ¬ Pnoncollege grads; do notknow) an termine whether the data provide strong evidence that the proportion of college graduates who do not have an opinion on this issue is different at of non-college graduates. atistic =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Question
A 2010 survey asked 823 randomly sampled registered voters in California "Do you support or oppose drilling for oil and natural gas off the coast
of California? Or, do you not know enough to say?" The responses were separated based on whether or not the respondent graduated from college.
College Graduate Not a College Graduate
Support
153
139
Oppose
190
124
Do Not Know
106
111
Total
449
374
(a) Find the following proportions:
Pcollege grads; do not know =
.23608
Pnoncollege grads; do not know =
.29679
(b) Conduct a hypothesis test to determine if this difference is statistically significant (Pcollege grads; do not know
Pnoncollege grads; do not know) and
-
thus determine whether the data provide strong evidence that the proportion of college graduates who do not have an opinion on this issue is different
than that of non-college graduates.
Test Statistic =
P-Value =
Transcribed Image Text:A 2010 survey asked 823 randomly sampled registered voters in California "Do you support or oppose drilling for oil and natural gas off the coast of California? Or, do you not know enough to say?" The responses were separated based on whether or not the respondent graduated from college. College Graduate Not a College Graduate Support 153 139 Oppose 190 124 Do Not Know 106 111 Total 449 374 (a) Find the following proportions: Pcollege grads; do not know = .23608 Pnoncollege grads; do not know = .29679 (b) Conduct a hypothesis test to determine if this difference is statistically significant (Pcollege grads; do not know Pnoncollege grads; do not know) and - thus determine whether the data provide strong evidence that the proportion of college graduates who do not have an opinion on this issue is different than that of non-college graduates. Test Statistic = P-Value =
Expert Solution
Step 1

1)Given data is appropriate for single proportions.

2) given data is appropriate for difference of proportions.

Step 2

A) p college do not know = P-p÷p*q÷n

                                     = -0.2875

   p non college do not know =P-p÷p*q÷n

                                                = 1.5965

                

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