ulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) U 0:
ulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) U 0:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 265 college graduates surveyed, 99 chose the response "Very important." Of the 118 people surveyed whose highest level of education was high school or less, 42 chose the response "Very important."
Based on these data, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion \( p_1 \) of all U.S. college graduates who would answer "Very important" and the proportion \( p_2 \) 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) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0: \]
\[ H_1: \]
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
\[ \]
---
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Transcribed Image Text: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 265 college graduates surveyed, 99 chose the response "Very important." Of the 118 people surveyed whose highest level of education was high school or less, 42 chose the response "Very important."
Based on these data, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion \( p_1 \) of all U.S. college graduates who would answer "Very important" and the proportion \( p_2 \) 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) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0: \]
\[ H_1: \]
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
\[ \]
---
There are no graphs or diagrams present in the image.
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(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
F1
(e) Can we conclude that there is a difference between the two populations in the proportion who would
answer "Very important"?
O Yes No
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