The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?

Question

. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: The pulse rates of 171 randomly selected adult males vary from a low of 42 bpm to a high of 106 bpm....

A: Given: Lowest value = 42 Highest value = 106 E = 4 The range can be calculated as: Range = Highest v...

Q: what level of measurement is systolic blood pressure, diastolic blood pressure

A: Quantitative variables:  The variable that records a numerical quantity is termed as quantitative va...

Q: A motoryde dives from Buenda to Quapo and back using the same course everyday. There are four stoplg...

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to ou...

Q: Your friend, Jaye, who is also enrolled in a statistics class, just got their grade on the first exa...

A: Concept: A z-score is known as the standard score that determines how much the data point deviates ...

Q: On a normal distribution with mean value 10 and a particular standard deviation (that is not given),...

A: According to the sum, On a normal distribution with mean value 10 and a particular standard deviatio...

Q: 11.6.35    Question Help     The mathematics department of a college has 14 male​ professors...

A: The mathematics department of a college has 14 male​ professors 14 female​ professors 6 male teachin...

Q: GPA of SMSU students is normally distributed with standard deviation (sigma) = 0.8. The average GPA ...

A: Click to see the answer

Q: Consider a drug testing company that provides a test for marijuana usage. Among 266 tested​ subjects...

A: Given information- Population proportion, p = 0.10 Sample size, n = 266 Significance level, α = 0.01...

Q: Suppose 218 subjects are treated with a drug that is used to treat pain and 54 of them developed nau...

A: From the given information, the required hypothesis will be given by as follows: H0:p=0.20H1:p≠0.20p...

Q: A team of researchers is investigating a drug for reducing systolic blood pressure. A group of 6 sub...

A: Click to see the answer

Q: Adult males have a mean weight of 179 pounds with a standard deviation of 29 pounds.Find the probabi...

A:  

Q: A genetic experiment involving peas yielded one sample of offspring consisting of 416 green peas and...

A: We are authorised to answer three subparts at a time since you have not mentioned which part you are...

Q: Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple rando...

A: Click to see the answer

Q: Answers for F, Completion of Interpolation of data first and second blank

A: (f). Find the value of E(Y The conditional distribution of Y = y | X = 3 is obtained as given below:...

Q: 11.6.91         It is computed that when a basketball player shoots a free​ throw, the odds ...

A: Given that, When a basketball player shoots a free​ throw, the odds in favor of his making it are 22...

Q: Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two f...

A: I will use excel to solve this question. Download link for excel: https://drive.google.com/file/d...

Q: Following are the number of grams of carbohydrates in a sample of 12-ounce espresso beverages offere...

A: Click to see the answer

Q: A random sample is selected from a normal population with a mean of m = 40 and a standard deviationo...

A: a.   Consider that μ defines the population mean.   Null hypothesis:   H0: μ = 40.   Alternative hyp...

Q: Given the confidence interval: (LCL, UCL) = (14, 60) What is the margin of error used to compute thi...

A: Click to see the answer

Q: The following data has been collected on the interarrival times of patients to an emergency departme...

A: From provided information, the interarrival times of patients to an emergency department is given as...

Q: Suppose 243 subjects are treated with a drug that is used to treat pain and 50 of them developed nau...

A: Given, The number of subjects treated with a drug that is used to treat pain is n=243 The number of ...

Q: As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are no...

A: Given information- Population mean, µ = 60 minutes Population standard deviation, σ = 7 minutes Let,...

Q: Express the confidence interval(0.026,0.088)in the form of p−E<p<p+E.

A: Solution: From the given information, the confidence interval for the population proportion is (0.02...

Q: If X is a continuous random variable with a density that is symmetric aboutsome point, ξ , show that...

A: Introduction: Given that X is a continuous random variable with a density that is symmetric about th...

Q: ind the indicated z score. The graph depicts the standard normal distribution with mean 0 and standa...

A: Given: The z value corresponding to area 0.9406 is calculated by Excel command NORM.S.INV(0.9406).

Q: Suppose a population has a mean equal to 80 and a standard deviation equal to 6; also, suppose that ...

A: Population has a mean equal to 80 and a standard deviation equal to 6. i.e. µ=80 and σ=6, Random sam...

Q: A tax auditor has a pile of federal tax returns and she has been directed to randomly select 20 of t...

A: Given : A tax auditor has a pile of federal tax returns and she has been directed to randomly select...

Q: CONFIDENCE INTERVALS FOR THE DIFFERENCE IN 2 POPULATION MEANS Children in two elementary school clas...

A: We have been given that the confidence interval is (-10, -2) The confidence interval does not includ...

Q: A random sample of 110 high school graduates from Fremd High School was surveyed to find out if they...

A: Given that, A random sample of 110 high school graduates from Fremd High School was surveyed to find...

Q: A woman is told that her weight has a standard score (\\( z \\)‑score) of \\( −1.5 . \\) This means ...

A: Suppose, population mean is μ and standard deviation is σ. Then, the formula of Z-score is as follow...

Q: A random sample is selected from a normal population with a mean of m = 40 and a standard deviation ...

A: Given: A random sample is selected from the normal population. The normal distribution parameters be...

Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 83.6 with a...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: Capacity and price data for a collection of USB flash drives is displayed in the table below. Cap...

A: Click to see the answer

Q: I Rolled ten dice ten times. I added the faces and divided by ten to find the means: 3.7 4.3 3.4 3.9...

A: Given :The  10 dice is rolled 10 times. the following is the means :3.7 4.3 3.4 3.9 3.9 3.1 3.4 4.4 ...

Q: The probability density function f(x) for a uniform random variable X defined over the interval [2,1...

A: Click to see the answer

Q: In Jolie’s new Thai restaurant, she observes the age of her customers and notes down which of the gr...

A: Jolie for her new restaurant divided Age of her customer in 2 categories -18 years old and below’ or...

Q: please work out as you would with a calculator not the book method a ti-83 or ti-84    Coca Cola bot...

A: Given: μ=299 mlσ=3 mln=6

Q: A box contains 17​ transistors, 5 of which are defective. If 5 are selected at​ random, find the pro...

A: Here, we have N=17 transistors. Out of N transistors, N1=5 are defective and N2=17-5=12 are non defe...

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

A: It is given that, Number of trials (n)=50 Number of success(f)=20 we have to test the claim that the...

Q: A motorcycle drives from Moraytato Lacson and back using the same course everyday. There are four st...

A: Given: The joint density function of x and y is as follows       x     y 0 1 2 3 4 0 0.01 0.0...

Q: Use a normal distribution as an approximation to the binomial probability distribution to approximat...

A: Obtain the approximate probability of more than 13 successes in 20. The approximate probability of m...

Q: 1 There is a provide an estimate of the population mean GMAT score that is within +/-10 of the actua...

A: Since, you have posted a question with multiple subparts, we would solve first three parts, If you w...

Q: The length of a fully grown hibiscus plant has a mean 35cm. It is found that 5% of these plants are ...

A: (i) Obtain the value of the standard deviation. The value of the standard deviation is obtained belo...

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 a...

A:  

Q: The average age for licensed drivers in the county is u of o = 13.2 years. 40.3 years with a standar...

A: (a) The average age for licensed drivers in the country is μ=40.3 and σ=13.2. The sample mean is M= ...