For this week's Application Assignment, you complete twoproblems that involve calculating confidence intervals with one sample. Thefirst problem involves calculating and interpreting the 90%, 95%,...

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For this week's Application Assignment, you complete two problems that involve calculating confidence intervals with one sample. The first problem involves calculating and interpreting the 90%, 95%, and 99% confidence intervals for a one-sample t-test. The second problem involves calculating and interpreting the 95% confidence interval for a proportion. While you can use SPSS to determine proportions,you need to calculate the confidence interval by hand.


NOTE:Please also include your explanation in words to interpret the data results for each question.




  • To complete
    this Application Assignment, answer the following problems:



Problem 4.1:
Given the data set
body-weight.sav, use SPSS to calculate the 90%, 95% and 99% confidence intervals for the mean of the variable weight. Interpret the three confidence intervals in terms of whether there is a significant difference between the mean of the sample and a hypothesized mean of 150.



Problem 4.2:
Every year the CDC conducts phone surveys to assess the health risks of people in the U.S. This survey is abbreviated BRFSS, which stands for Behavioral Risk Factor Surveillance System. Review the following data collected for 2009:




















Total number of respondents



Number of respondents who smoke everyday



Number of respondents who smoke some days



Number of respondents who are former smokers



Number of respondents who have never smoked



426,000



54,815



21,581



110,060



143,619





    1. Calculate the proportion of each group of respondents.

    2. Calculate the confidence interval for the proportion of respondents who stated they are former smokers.



Copy and paste (or use the
File/Export
option in SPSS) any required data charts or summaries into a Word document, or export the data output as a Word/RTF document. Save your Application Assignment as a ".doc" or ".rtf" file.

Answered Same DayDec 21, 2021

Answer To: For this week's Application Assignment, you complete twoproblems that involve calculating...

Robert answered on Dec 21 2021
113 Votes
Problem 4.1
Ho: Population mean is 150.
H1: Population mean is not equal to 150.
One-Sample Stat
istics
N Mean
Std.
Deviation
Std. Error
Mean
weigh
t
53
1.5875
E2
35.64888 4.89675
One-Sample Test
Test Value = 150
t df
Sig.
(2-tailed)
Mean
Difference
90% Confidence
Interval of the
Difference
Lower Upper
weigh
t
1.788 52 .080 8.75472 .5542 16.9553


From the above test, 90% confidence interval for population mean is (150+0.5542,150+16.9553) ie (150.5542,166.9553) and since p value is 0.08 which is
less than 0.10 thus we reject null hypothesis at 10% level of significance that sample mean is not significantly different from 150. Instead with 90% confidence
we can say that it lies between 150.5542 and 166.9553.

One-Sample Statistics
N Mean...
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