Question

A researcher is interested in the difference in the rates of diabetes among people living in...

A researcher is interested in the difference in the rates of diabetes among people living in rural areas and people living in urban areas. They randomly selected 1023 people living in rural areas and found that 122 had diabetes and of 1332 people living in urban areas found that 167 people had diabetes. Conduct a hypothesis test to determine if there is a difference between the diabetes rates of people living in rural and urban areas. Please include all steps of the test.     Use significance level of 0.05

Please answer with steps! Thank you.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Ans:

sample proportion 1=122/1023=0.1193

sample proportion 2= 167/1332=0.1254

pooled proportion=(122+167)/(1023+1332)=0.1227

Test statistic:

z=(0.1193-0.1254)/sqrt(0.1227*(1-0.1227)*((1/1023)+(1/1332)))

z=-0.447

critical z value(two tailed)=+/-1.96

Rejection region: z<-1.96 or z>1.96

Decision:Fail to reject the null hypothesis.

Conclusion:There is not sufficient evidence to conclude that there is a difference between the diabetes rates of people living in rural and urban areas.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A social researcher wants to investigate the level of anxiety that people have based on the...
A social researcher wants to investigate the level of anxiety that people have based on the individual area of residence (urban vs. rural). The researcher uses alpha level of 0.05 to determine whether there is a significant difference in the level of anxiety between people who live in rural areas and people who live in urban areas. The data is below: X bar rural = 14 s2 rural = 8 n rural = 15 X bar urban = 13 s2...
Mike thinks that there is a difference in quality of life between rural and urban living....
Mike thinks that there is a difference in quality of life between rural and urban living. He collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 11 people from rural towns give a life expectancy of xr¯=73.7 years with a standard deviation of sr=5.54 years. A sample of 16 people from larger towns give xu¯=78.4 years and su=8.49 years. Does this provide evidence...
Ann thinks that there is a difference in quality of life between rural and urban living....
Ann thinks that there is a difference in quality of life between rural and urban living. She collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 12 people from rural towns give a life expectancy of xr¯=74.4years with a standard deviation of sr=7.54years. A sample of 17 people from larger towns give xu¯=74.6x years and su=5.04years. Does this provide evidence that people living...
A researcher is interested in testing whether there is a difference in mean IQ level among...
A researcher is interested in testing whether there is a difference in mean IQ level among people with varying levels of education (ED). For the ED variable, 1  =  no high school degree, 2  =  high school graduate, 3  =  college graduate. The researcher produces the following Minitab output. Use the Bonferonni method at the 3% significance level to test the hypothesis H0 :  μ1  =  μ3  vs  H1 :  μ1  ≠  μ3. --------------------------------------------------------- Descriptive Statistics: IQ ED N Mean...
A researcher is interested consumer preferences among three brands of televisions. A sample of 100 people...
A researcher is interested consumer preferences among three brands of televisions. A sample of 100 people is obtained, and each individual is asked to try each brand and then select his/her favorite. The resulting frequency data are as follows:                             Brand A     Brand B     Brand C 38 32       30 Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
A researcher is interested in seeing if the average income of rural families is different than...
A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 42 families from a rural area and finds that they have an average income of $68532 with a population standard deviation of $832. He then selects 47 families from a urban area and finds that they have an average income of $67140 with a population standard deviation of $809. Perform...
Provide an appropriate response. A researcher was interested in comparing the resting pulse rates of people...
Provide an appropriate response. A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people aged who do not exercise regularly and 12 people aged who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics were as follows. Do Not Exercise: x1= 73.0, s1=10.3, n1=16 Do Exercise: x2=69.9, s2=8.2, n2=...
A researcher is interested in the differences between the rates of support for inner city development...
A researcher is interested in the differences between the rates of support for inner city development in Melbourne and Sydney. Data is collected and is reported in the following table. City Melbourne Sydney Total Support 85 102 187 Do not support 142 118 260 Total 227 220 447 At a 0.05 level of significance, is there evidence of a significant difference between Melbourne and Sydney rates of support for inner city development? Using a chi-squared test for differences between proportions...
A researcher is interested in the average resting heart rates of elite athletes versus non-elite athletes....
A researcher is interested in the average resting heart rates of elite athletes versus non-elite athletes. The researcher wants to see if the average resting heart rates of elite athletes is lower than average resting heart rates of non-elite athletes. The researcher randomly sampled 45 elite athletes and 60 non-elite athletes. The average resting heart rate of the elite athletes was 46 bpm with a standard deviation of 14 bpm while the average resting heart rate of the non-elite athletes...
A researcher in a large city was interested if the type of transportation people prefer to...
A researcher in a large city was interested if the type of transportation people prefer to use (i.e., City Bus or Own Car) is correlated with their sleeping habits (i.e., typically going to bed Before Midnight or typically going to bed After Midnight). The data collected by an online survey from a sample of n=110 participants are presented  in the following frequency distribution table (note: the number in each cell represents a count of people in each category): Sleeping Habits City...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT