A) Formulate the hypotheses using the appropriate notation. B) Calculate the test statistic showing 3 places after the decimal. C) Find the p-value from the theoretical distribution area in Stat Key D) Write your conclusion in the language of the problem. 3. In the past the percentage of patients experiencing headaches as a side effect of an antidepressant was 28%. The medication was adjusted in hopes of reducing this percentage. The new medication resulted in headaches for 275 out of the 1250 patients tested experienced headaches. Perform the hypothesis test at a=0.01 for a change in proportion. 4. Every 5 years a city conducts a survey of residents to collect data on various political, economic, and health indicators. With a new survey coming this year the mayor is especially concerned with jobs and the economy. In the last survey only 41% of people in the city said they felt "very secure" in their job. The mayor wants to be able to estimate that proportion for this year to within a margin of error of +/- 2%. How large of a sample will be needed?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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I need help with these two questions. For these two problems I need help solving it according to what is asked in A B C D. Can you please provide an explanation as to how to reach the solution?

A) Formulate the hypotheses using the appropriate notation.
B) Calculate the test statistic showing 3 places after the decimal.
C) Find the p-value from the theoretical distribution area in Stat Key
D) Write your conclusion in the language of the problem.
Transcribed Image Text:A) Formulate the hypotheses using the appropriate notation. B) Calculate the test statistic showing 3 places after the decimal. C) Find the p-value from the theoretical distribution area in Stat Key D) Write your conclusion in the language of the problem.
3. In the past the percentage of patients experiencing headaches as a side effect of an antidepressant was 28%.
The medication was adjusted in hopes of reducing this percentage. The new medication resulted in headaches
for 275 out of the 1250 patients tested experienced headaches. Perform the hypothesis test at a=0.01 for a
change in proportion.
4. Every 5 years a city conducts a survey of residents to collect data on various political, economic, and health
indicators. With a new survey coming this year the mayor is especially concerned with jobs and the economy.
In the last survey only 41% of people in the city said they felt "very secure" in their job. The mayor wants to be
able to estimate that proportion for this year to within a margin of error of +/- 2%. How large of a sample will
be needed?
Transcribed Image Text:3. In the past the percentage of patients experiencing headaches as a side effect of an antidepressant was 28%. The medication was adjusted in hopes of reducing this percentage. The new medication resulted in headaches for 275 out of the 1250 patients tested experienced headaches. Perform the hypothesis test at a=0.01 for a change in proportion. 4. Every 5 years a city conducts a survey of residents to collect data on various political, economic, and health indicators. With a new survey coming this year the mayor is especially concerned with jobs and the economy. In the last survey only 41% of people in the city said they felt "very secure" in their job. The mayor wants to be able to estimate that proportion for this year to within a margin of error of +/- 2%. How large of a sample will be needed?
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