MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128154793
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 13, Problem 26E
To determine
To write:
A GUI
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Are there less children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban
areas over states that are mostly rural?
Assume data were collected from a fairly urban state and they found 222 eight-year olds diagnosed with
ASD out of 19823 eight-year olds evaluated.
Assume data were then collected for a fairly rural state and they found 58 eight-year olds diagnosed with
ASD out of 2493 eight-year olds evaluated.
Is there enough evidence to show that the proportion of children diagnosed with ASD in the fairly urban
state is lower than the proportion in the fairly rural state?
a.) Test at the 3% level
b.) Compute a 97% confidence interval for the difference in proportions.
Use the following steps for the hypothesis test.
For the confidence interval you do not need to do all the steps since you did some of them already in
hypothesis test.
Part a.) HYPOTHESIS TEST
Parameter
What is the correct parameter symbol and wording for population 1?…
> Next question
Get a similar question You can retry this question below
A study of tipping behaviours examined the relationship between the colour of the shirt worn by the server
and whether or not the customer left a tip.
Group 1: In a random sample of 66 customers served by a server wearing a red shirt, 40 left a tip.
Group 2: In a random sample of 354 customers served by a server wearing a non-red shirt, 186 left a tip.
At the 5% level of significance, is there a difference in tip leaving between red-shirted servers and non-
red-shirted servers?
Note: Be sure to use at least five decimal places in all intermediate calculations.
State the hypotheses of this test.
Ho Pi-Pa-0
Ho: P-12-0
HA P-P>0
HA: H1-20
Ho P1 P2=0
Ho: H1 H2 = 0
HA: P-P0
Ho P1 P2=0
Ho H1 H2 = 0
HAP-P2+0
HAH-H<0
According to the given information, provide the answers to the following parts:
Group 1:
Sample Proportion = P1 =
(round properly to 3 decimal places)
Observed number of successes in the sample=₁ = n₁₁ =…
Chapter 13 Solutions
MATLAB: A Practical Introduction to Programming and Problem Solving
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- Please do not answer this question.arrow_forwardJohn, an experienced Airbnb host claims that true average rental price per night for a shared room in lower east side of Manhattan is $100. A sample of 15 shared room rentals from the neighborhood yields a sample average price per night of $85 with a standard deviation $17 (source: Kaggle.com). Suppose the distribution of price per night is normally distributed. Is there sufficient evidence to believe that average price per night for a shared room in Manhattan’s lower east side is less than what John claims? (Use 5% significance level)? Clearly state the null and alternative hypothesis to answer the above research question. Define any parameters you may use. Check the conditions that needs to be satisfied in order to do the test you stated in part 1. Calculate the test statistic Calculate the degrees of freedom What is the rejection region for the test? Calculate the p value for the test. You may use MINITAB to get the numerical value of the p value. However, you MUST clearly state…arrow_forwardA dealer in recycled paper places empty trailers at various sites. The trailers are gradually filled by individuals who bring in old newspapers and magazines, and are picked up on several schedules. One such schedule involves pickup every second week. This schedule is desirable if the average amount of recycled paper is more than 1,600 cubic feet per 2-week period. The dealer's records for eighteen 2-week periods show the following volumes (in cubic feet) at a particular site (recycled paper.xlsx ✓). Is there enough evidence to suggest that two-week pick-up schedule is desirable? Use 5% significance level. Clearly state the 6 steps of the hypothesis test you do and show all your work. NOTE: Since you have the data make sure to check if the the conditions for the above test are satisfied.arrow_forward
- Dont Answer. jsarrow_forwardA dealer in recycled paper places empty trailers at various sites. The trailers are gradually filled by individuals who bring in old newspapers and magazines, and are picked up on several schedules. One such schedule involves pickup every second week. This schedule is desirable if the average amount of recycled paper is more than 1,600 cubic feet per 2-week period. The dealer's records for eighteen 2-week periods show the following volumes (in cubic feet) at a particular site (recycled paper.xlsx ✓). Is there enough evidence to suggest that two-week pick-up schedule is desirable? Use 5% significance level. Clearly state the 6 steps of the hypothesis test you do and show all your work. NOTE: Since you have the data make sure to check if the the conditions for the above test are satisfied.arrow_forwardA manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130. A sample of n=9 systems, when tested, yields a sample average activation temperature of 131.08 F with a standard deviation 1.5 F. Suppose the distribution of system-activation temperature is normally distributed. Is there sufficient evidence to believe that average activation temperature of the sprinklers is different from manufacturer claims? Use 5% significance level. Show your work by answering following questions. State the parameter in context of the problem and set up the two competing hypotheses. What conditions are necessary for the test? Explain if they are satisfied. The test statistic is The degrees of freedom are The P value is The Rejection region is Decision about the null hypothesis isarrow_forward
- A college admissions officer for the school’s online undergraduate program wants to estimate the mean age of its graduating students. The administrator took a random sample of 40 from which the mean was 24 years and the standard deviation was 1.7 years. Do you believe that the true mean age of online undergraduate students is higher than 23 years? Be sure to set up the two competing hypotheses and provide a statistical conclusion statement at a 5% level of significance for your results. Clearly state the 6 steps of the hypothesis test you do. Then, redo the test using MINITAB and attach the output.arrow_forwardJohn, an experienced Airbnb host claims that true average rental price per night for a shared room in lower east side of Manhattan is $100. A sample of 15 shared room rentals from the neighborhood yields a sample average price per night of $85 with a standard deviation $17 (source: Kaggle.com). Suppose the distribution of price per night is normally distributed. Is there sufficient evidence to believe that average price per night for a shared room in Manhattan’s lower east side is less than what John claims? (Use 5% significance level)? Calculate the p value for the test. You may use MINITAB to get the numerical value of the p value. However, you MUST clearly state the p value as a probability statement. Make the decision about the null hypothesis and write the final conclusion in the context of the problem.arrow_forwardHutchinson-Gilford progeria syndrome is a rare genetic condition that produces rapid aging in children. In individuals with this syndrome, cardiovascular disease is a common cause of death in the teenage years. A clinical study examined the effect of treatment with the drug lonafarnib on a number of physiological outcomes. The researchers measured the pulse wave velocity (PWV) of 18 children diagnosed with progeria and recruited worldwide. The study reports that the mean PWV of 18 children diagnosed with progeria is 12.44 m/s, and the standard deviation is 3.638 m/s. Assuming that PWV is normally distributed, is there significant evidence that the mean PWV of children with progeria is abnormally high (i.e. greater than 6.6 m/s)? Let μ (pronounced as "mu") be the true mean PWV of children with progeria. 1. What are the two competing hypotheses? [Select] 2. What is the test statistic? [Select] 3. What is the p value? [Select] 4. What is the rejection region? [Select] 5. What are the…arrow_forward
- Suppose we do the below hypothesis test for the mean and obtained a p value 0.025 Hop 10 Vs. H₁p 10 If 95% confidence interval for the true mean of the target population is calculated using the same data, will 10 be inside or outside the confidence interval? Explain.arrow_forwardA manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130. A sample of n=9 systems, when tested, yields a sample average activation temperature of 131.08 F with a standard deviation 1.5 F. Suppose the distribution of activation times is normally distributed. Is there sufficient evidence to believe that average activation temperature of the sprinklers is different from manufacturer claims? Use 5% significance level. Show your work by answering following question. Provide the statistical conclusion statement at a 5% level of significance for your results.arrow_forwardA manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130. A sample of n=9 systems, when tested, yields a sample average activation temperature of 131.08 F with a standard deviation 1.5 F. Suppose the distribution of activation times is normally distributed. Is there sufficient evidence to believe that average activation temperature of the sprinklers is different from manufacturer claims? Use 5% significance level. Show your work by answering following question. If you calculate a 95% confidence interval for the average activation temperature of the sprinklers using the same data, will 130 be inside or outside the interval. Explain your answer without calculating the interval.arrow_forward
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