Can you please help me with this problem.  If you can please answer the z question and the one bellow it. I can figure out the multiple choice questions out. I just need to figure out how to get the z and the p value.  Thank you.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Can you please help me with this problem.  If you can please answer the z question and the one bellow it. I can figure out the multiple choice questions out. I just need to figure out how to get the z and the p value.  Thank you. 

itation Machine
M Inbox (14,543) - jeanasanchez17@gmail.com...
R Statistical symbols & probability symbols (µ,0,...
A Washginton Post artilcle from 2009 reported that "support for a government-run health-care plan to
compete with private insurers has rebounded from its summertime lows and wins clear majority support from
the public." More specifically, the article says "seven in 10 Democrats back the plan, while almost nine in 10
Republicans oppose it. Indpendents divide 52% against, 42% in favor of the legislation." There were 819
Democrats, 566 Republicans, and 783 Independents surveyed.
(a) A political pundit on TV claims that a majority of Indpendents oppose the health care public option plan.
Do these data provide strong evidence to support this statement at the 5% level of significance?
The hypotheses for this test are:
Но: р 3D .5
На: р <.5
О Но: р %3D .5
На: р > .5
Ho: p = .5
Ha: p z .5
The test statistic is: Z=
(please round to two decimal places) The p-value associated
with this hypothesis test is:
(please round to four decimal places) What is the
conclusion of the hypothesis test?
Since p 2 a we accept the null hypothesis
Since p 2 a we fail to reject the null hypothesis
Since p 2 a we reject the null hypothesis and accept the alternative
Since p<a we reject the null hypothesis and accept the alternative
Since p<a we fail to reject the null hypothesis
Interpret the result of the test in the context of this study and article:
The data do not provide sufficient evidence at the 5% level of significance to claim that that a majority
of Independents oppose the public option.
The data provide sufficient evidence at the 5% level of significance to claim that a majority of
Independents oppose the public option.
(b) Would you expect a confidence interval for the proportion of Independents who oppose the public option
to include 0.5?
no
ves
Transcribed Image Text:itation Machine M Inbox (14,543) - jeanasanchez17@gmail.com... R Statistical symbols & probability symbols (µ,0,... A Washginton Post artilcle from 2009 reported that "support for a government-run health-care plan to compete with private insurers has rebounded from its summertime lows and wins clear majority support from the public." More specifically, the article says "seven in 10 Democrats back the plan, while almost nine in 10 Republicans oppose it. Indpendents divide 52% against, 42% in favor of the legislation." There were 819 Democrats, 566 Republicans, and 783 Independents surveyed. (a) A political pundit on TV claims that a majority of Indpendents oppose the health care public option plan. Do these data provide strong evidence to support this statement at the 5% level of significance? The hypotheses for this test are: Но: р 3D .5 На: р <.5 О Но: р %3D .5 На: р > .5 Ho: p = .5 Ha: p z .5 The test statistic is: Z= (please round to two decimal places) The p-value associated with this hypothesis test is: (please round to four decimal places) What is the conclusion of the hypothesis test? Since p 2 a we accept the null hypothesis Since p 2 a we fail to reject the null hypothesis Since p 2 a we reject the null hypothesis and accept the alternative Since p<a we reject the null hypothesis and accept the alternative Since p<a we fail to reject the null hypothesis Interpret the result of the test in the context of this study and article: The data do not provide sufficient evidence at the 5% level of significance to claim that that a majority of Independents oppose the public option. The data provide sufficient evidence at the 5% level of significance to claim that a majority of Independents oppose the public option. (b) Would you expect a confidence interval for the proportion of Independents who oppose the public option to include 0.5? no ves
Expert Solution
Step 1

Only Z value and P-value are asked in the Question :

 

The following information is provided:

The sample size is N=783N = 783, the number of favorable cases is X=407.16  407, and the sample proportion is pˉ=XN=407783=0.5198 52%, and the significance level is α=0.05\alpha = 0.05

 

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