**Title: Analysis of Smoking Habits and Allergy Symptoms****Objective:**A study was conducted among $ n = 500 $ individuals, with 300 smokers and 200 non-smokers included. The objective was to test whether allergy symptoms depend on smoking preferences. A two-by-two contingency table summarized observed frequencies as follows:**Observed Frequencies Table:**| Group | Allergic | No Allergy | Total ||--------------|----------|------------|-------|| Smokers | 165 | 135 | 300 || Non-Smokers | 85 | 115 | 200 || **Total** | 250 | 250 | 500 |**Analysis Instructions:**At the significance level $ \alpha = 0.01 $, test whether smoking habits and allergic symptoms are related to each other.1. **Evaluate estimated expected counts** and place them into the table below.2. **Derive the test statistic** for testing the homogeneity hypothesis.3. **Formulate the rejection rule** and make a conclusion on whether there is dependence between smoking habits and allergy symptoms.**Estimated Expected Counts Table:**| Group | Allergic | No Allergy | Total ||--------------|----------|------------|-------|| Smokers | | | 300 || Non-Smokers | | | 200 || **Total** | 250 | 250 | 500 |**Solution:**This section will guide you through calculating the estimated expected counts, deriving the test statistic for a chi-square test, and determining the outcome of the hypothesis test based on the specified significance level. Note that in order to compute the expected counts, use the formula: \[ E_{ij} = \frac{(Row \, Total_i) \times (Column \, Total_j)}{Grand \, Total} \]Follow these steps to determine if there is a significant relationship between the variables of smoking habits and allergy symptoms.

The chi -square χ2 test is the most powerful test to detect the relationship between two categorical…

Answered: A study was conducted among n = 500…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

). You are interested in investigating if there a difference in mean cholesterol between the four diet groups. What kind of sample and outcome is this?
The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. Males 13 20 14 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.03. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 800 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 535 344 Women who disagree 265 56 Click here to view the chi-square distribution table. LOADING... Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are the same. B. H0: The proportions of agree/disagree…
A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). Using the difference data, with population 1– population 2, the sample mean difference was d = $870, and the sample standard deviation was s,= $1,125. (a) Formulate the null and alternative hype to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. 0> Prt :°H 0 = Pri :ºH O O Ho: Hdso H: H=0 (b) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Can you conclude that the population…
The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows. Female 0.1 0.5 0.3 2.3 2.0 1.4 0.0 Male 2.6 19.3 1.4 1.0 0.0 39.2 4.1 0.0 2.1 1.1 5.6 5.0 7.0 2.3 4.3 7.5 16.5 7.8 3.3 8.9 7.3 At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?
The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1, 7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. What are your null and alternative hypothesis? Ο HO: μ_1== μ_2 HA: μ_1=\= μ_2 O HO: μ_i== u_j for all i and j HA: μ_i=\= μ_j for all i and j O HO: μ_i == μ_j for all i and j HA: μ_i=\= μ_j for at least one i,j…
The researchers hypothesised that people who receive an audiovisual presentation will have a different mean level of recall of ad information as those who receive only the visual aspects of the ad. What significance test should the researchers use for testing their hypothesis?
The results of a random sample of students by type of school and their attitudes on safety steps taken by the school staff are shown in the table below. At the 5% significance level, can you conclude that attitudes about safety steps taken by the school staff are related to the type of school? School staff has School Type Taken all steps for student safety Taken some steps for student safety Public 40 51 Private 64 34
Performance anxiety is a disorder that impacts over 60 per cent of the world’s population. The impact of different types of performative activity on anxiety levels is not clear. 120 individuals were included in a focus group and where subject to performances in speech, dance and singing in front of a live audience. Their heart rates were measured for each performance and the average rate recorded: Speaking Singing Dancing 148 86 116 146 149 105 144 75 133 139 114 82 96 131 141 72 114 121 121 140 136 77 135 101 109 106 91 100 112 93 87 140 76 71 110 77 107 73 112 82 145 92 117 114 105 80 89 71 80 150 122 117 139 134 73 98 120 104 144 116 93 84 118 123 118 113 95 114 136 73 78 89 137 146 109 74 133 101 75 144 139 98 125 91 141 101 124 81 113 120 124 126 95 108 127 108 101 138 125 139 81 136 116 123 126 139 132 80 72 107 76 137 119 109 143 140 120 128 137 138 150 82 98 106 86 133 140 87 72 148 101…
Researchers studied a group of 30 “self-designated worriers” (i.e. individuals who reported spending at least 10% of the day worrying) and who were over the age of 70 (mean age of 78.1). The researcher randomly assigned the worriers into three groups. For the next four weeks, each group would experience a different approach to handling worry. One group engaged in a worry-focus discussion group. The second group members enjoyed individual therapy. The third group went for daily walks in the park. Data was collected, analyzed, and interpreted. Write a valid one sentence hypothesis statement using proper form of the above research design.
The National Highway traffic Safety Administration requires each U.S. state to carry out an observational study to assess the level of seat belt use in the state. One report summarized data from a study done in a certain state. The proportions in the accompanying table are based on observations of over 25,000 drivers and passengers. Male Female Uses Seatbelt Does Not Use Seat Belt 0.42 0.455 0.08 0.045 Assume that these proportions are representative of adults in this state and that an adult from this state is selected at random. (a) What is the probability that the selected adult does not use a seat belt given that the selected individual is female? (b) What is the probability that the selected individual is female given that the selected individual does not use a seat belt? (c) Are the probabilities from parts (a) and (b) equal? Write a couple of sentences explaining why or why not. They --Select--- ✓ equal. Part (a) is the proportion of [---Select--- ---Select--- and part (b) is the…
To test whether there is a difference in the quality of some ballpoint pens produced by Scribulus, Writine, and Fantapen, random samples from each brand were purchased and the following data were collected: Scribulus Writinc Fantapen number purchased failed to write 41 29 16 300 250 200 Use a 5% level of significance to test whether there is any difference in quality measured by the proportion of pens that failed to write.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS