Volunteers at a teen hotline have been assigned based on the assumption that 40% of all calls are drug related, 25% are sex related, 25% are stress related, and 10% concern educational issues. For this investigation each call is classified into one category based on the primary issue raised by the caller. To test the hypothesis, the following data are collected from 120 randomly selected calls placed to the teen hotline. Based on the data, is the assumption regarding distribution of topic issues appropriate? Use alpha=.05 1) the calculation of the test statistic; and 2) your conclusion including a comparison to alpha or the critical value.  DrugsSexStressEducation# of calls5037258

Question
Asked Nov 13, 2019
42 views

Volunteers at a teen hotline have been assigned based on the assumption that 40% of all calls are drug related, 25% are sex related, 25% are stress related, and 10% concern educational issues. For this investigation each call is classified into one category based on the primary issue raised by the caller. To test the hypothesis, the following data are collected from 120 randomly selected calls placed to the teen hotline. Based on the data, is the assumption regarding distribution of topic issues appropriate? Use alpha=.05 1) the calculation of the test statistic; and 2) your conclusion including a comparison to alpha or the critical value.

 

 
Drugs
Sex
Stress
Education
# of calls
50
37
25
8
check_circle

Expert Answer

Step 1

Introduction:

It must be verified whether the observed number of calls under each category agrees with the assumed values for that category. For this purpose, it is suitable to use a chi-squared test for goodness of fit.

Assumptions:

  • The data must be collected using a simple random sampling technique.

According to the given information, this assumption is satisfied as the data is collected randomly.

  • The variable being studied must be categorical.

The variable is the “nature of teen issue discussed in a hotline call”, which is categorical, and has 4 categories.

  • The expected count for each category must be 5 or more.

The expected probabilities for the categories: drug, sex, stress, and educational issues are p1 = 0.4, p2 =...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
question_answer

Q: I need help finding the answer on the TI84 Plus CE and on paper ?. Thank you

A: Note:Thank you for the question. Since you have posted more than 1 question, according to our policy...

question_answer

Q: What is an example of a statistical presentation ? Can you tell me what is it telling me ? What area...

A: In statisics, graphs are helpful in presenting the statistical data. In order to improve the present...

question_answer

Q: 1. Define a random variable X as the proportion of time that a student spends on a certain test. Res...

A: Likelihood function:The pdf is considered as f(x)=(θ+1)xθ.The likelihood function of the distributio...

question_answer

Q: When a recent survey asked subjects whether it should or should not be the​ government's responsibil...

A: The total number of subjects that is sample size (n) = 1496The number of subjects who said yes that ...

question_answer

Q: Question Help magazine routinely checks the drive-through service times of fast-food restaurants. A ...

A: Given dataConfidence interval = 95%n = 568lower bound = 162.2upper bound = 165.495% confidence inter...

question_answer

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you wi...

A: a.The possible outcomes when rolling a die is {1, 2, 3, 4, 5 and 6}.The formula for finding probabil...

question_answer

Q: #1. A firm has three investment alternatives. Pay offs are in thousands of dollars.                 ...

A: 1. a. The utility of a payoff of 75 for decision maker A is 100 and it is obtained below: The probab...

question_answer

Q: Find the area to the right of z =-86 in the standard normal distribution. A) 0.1949 B) 0.3051 C) 0.3...

A: The area to the right of z=0.86 in the standard normal distribution is obtained below:The formulas f...

question_answer

Q: #5      Write the following in interval notation, in the u +- e or p+- e notation and graph the inte...

A: The confidence interval estimate of a population mean found to be is -2 less than μ which is less th...

question_answer

Q: The critical value of t for a 95% confidence interval with df equals 108

A: Given:

question_answer

Q: The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a...

A: It is given that probability of passing the bar exam in a certain state is 2/3. Therefore, the proba...

question_answer

Q: he following table shows the average life expectancy, in years, of a child born in the given year.† ...

A: (c)From the given information, the independent variables be Year and dependent variable is Price.Ins...

question_answer

Q: The weights of traditional carving pumpkins at a local pumpkin patch are normally distributed, with ...

A: It is given that the mean and standard deviation are 14.5 and 2.8, respectively.

question_answer

Q: A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population p...

A: Hey, since multiple subparts are posted, we will answer first three subparts according to our policy...

question_answer

Q: Suppose 47% of the population has a college degree. If a random sample of size 501 is selected, what...

A: The probability that the proportion of persons with a college degree will differ from the population...

question_answer

Q: A firm has three investment alternatives. Pay offs are in thousands of dollars.                     ...

A: 1. a. The utility of a payoff of 75 for decision maker B is 90 and it is obtained below: The probabi...

question_answer

Q: Is it correct to say that in the long run, if you computed many, many confidence intervals using the...

A: The 99% confidence level gives the long-run of confidence intervals. That is, the large number of sa...

question_answer

Q: In a certain​ survey, 51 people chose to respond to this​ question: "Should passwords be replaced wi...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

question_answer

Q: In photo

A: For sample size 100, The 95% confidence interval is 0.8-4.2.The width of the confidence interval is ...

question_answer

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard deviatio...

A: We are given,μ = 196σ = 22n = 60

question_answer

Q: Given that a distribution on a test has a mean of 70 and a standard deviation of 12   D.  Why is the...

A: Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean µ...

question_answer

Q: When taking a 17 question multiple choice test, where each question has 3 possible answers, it would...

A: Note:Since no other information is provided, we have assumed that it will be unusual, if the probabi...

question_answer

Q: Please help me with this problem

A: The (1-α) 100% confidence interval for population standard deviation is given by: 

question_answer

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good b...

A: It is given that the sample size 61 and the number of successes is 27.The population proportion is 0...

question_answer

Q: Part c of 6.2 only.

A: It is given that  are iid random variable with mean  and variance.

question_answer

Q: The normal curve homework questions. Please write your answers in the table to the left for #1, and ...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

question_answer

Q: Part B. TI 84 steps

A: Given datan = 80p-hat = 0.30finding the value of x 

question_answer

Q: The mean is µ = 60.0 and the standard deviation is Η = 4.0.Find the probability that X is less than ...

A: Given datamean (µ) = 60.0 standard deviation (σ) = 4Assuming X follows normal distributionprobabilit...

question_answer

Q: See the graph of data below to answer the following question Obtain a 95% confidence interval for th...

A: Procedure to find sample mean, standard deviation and sample size using Excel:In Excel sheet, enter ...

question_answer

Q: A hospital is trying to cut down on emergency room wait times. It is interested in the amount of tim...

A: Given:X: Amount of time patients must wait before being called back to be examined

question_answer

Q: Express the confidence interval 59.3 % <p < 67.5 % in the form of pt ME % t

A: According to the provided information,

question_answer

Q: 8.52 A B

A: The formula for the sample size is as follows:

question_answer

Q: A vaccine to prevent a severe virus was given to children within the first year of life as part of a...

A: a.It is given that x1=57, x2= 49, n1=3,294, n2= 1,648. .

question_answer

Q: Solve for x1 and x2  2x1 + 4x2 = 80 3x1 + 1x2 = 60 and then when find x1 multiply by 7  and when fin...

A: Consider the equation,2x1+4x2=80……… (1)3x1+1x2=60……… (2)Multiplying by 4 in equation (2) and then su...

question_answer

Q: Please help with question 3 using confidence intervals step by step

A: It is provided that, in the last poll of 144 voters in Lowa, 19% of voters will vote for him (someon...

question_answer

Q: Suppose that a brand of lightbulb lasts on average 1758 hours with a standard deviation of 191 hours...

A: It is given that a brand of lightbulb lasts on average is 1758 hours with a standard deviation of 19...

question_answer

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Part a:The test must be performed using α = 0.01. Hence, the level of significance is 0.01.

question_answer

Q: The high price of medicines is a source of major expense for those seniors in the United States who ...

A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is known is given ...

question_answer

Q: Find the mean from its definition. That is, find the sum of the six observations and divide by 6.The...

A: Note:Thank you for the question. We have considered the given values as the observations in the data...

question_answer

Q: Please show me how to do this equation

A: Solution: We are given that a machine has 9 identical components which functions independently.The p...

question_answer

Q: Normal Distribution Problem: A certain component for the newly developed electronic diesel engine is...

A: Given information:Mean = 9.0 mmStandard deviation = 1.5 mm

question_answer

Q: A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of ...

A: It is given that the variance of the heart rates of smokers is 32 and the variance of the heart rate...

question_answer

Q: As you probably know, the Titantic, on its maiden voyage, hit an iceberg and sank in the matter of h...

A: Hello! As you have posted 7 sub parts, we are answering the first 3 sub-parts.  In case you require ...

question_answer

Q: A random sample of n observations is selected from a normal population to test the null hypothesis t...

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we...

question_answer

Q: The Fox TV network is considering replacing one of its prime-time crime investigation shows with a n...

A: a.The value of the population proportion is estimated below:From the given information, in a random ...

question_answer

Q: 0.02 You wish to test the following claim (H) at a significance level of a Ho:p 0.47 Ha p 0.47 You o...

A: The null and alternative hypotheses are as follows:From the information, a right tail test with leve...

question_answer

Q: Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings...

A: The sample mean (point estimate for the population mean) is calculated as follows:

question_answer

Q: 10.67 The Pew Research Center conducted a poll in January 2014 of online adults who use social netwo...

A: Solution:a.Obtain the critical value at 95% confidence level:From the given information, the proport...

question_answer

Q: How do they get that number from the t table if 1000-1=999 how do they figure 999 and the.025% my t ...

A:  It is given that the sample size is 1,000. Since the sample size is large, from your given table, i...

question_answer

Q: Please show me how to do this equation

A: Permutation:Permutation is the process of arranging elements of a set into a sequence.The number of ...