Question

1. A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents.  They obtained the following sample data.

-Image Attached 

At the 10% significance level, do the data provide sufficient evidence to conclude that age and frequency of car accidents are independent?

STEP 1. State the Hypothesis 

STEP 2. Decide on α

STEP 3. Calculate the test statistic:

STEP 4. Find the critical value:

STEP 5. Conclusion:

Please show all work. 

Age Group
Under 25
25-45
Over 45
Total
Number of
accidents in
74
90
84
248
19
12
39
past 3 years > 1
4
13
Total
100
100
100
300
Expand
Transcribed Image Text

Age Group Under 25 25-45 Over 45 Total Number of accidents in 74 90 84 248 19 12 39 past 3 years > 1 4 13 Total 100 100 100 300

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 central problem in the case of two-sample hypothesis test is to determine a. if the sample are r...

A: The central problem in the case of two-sample hypothesis test is to determine  if two populations di...

Q: Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of th...

A: It is given that there are two dice that are rolled. The compound event consists of mutually exclusi...

Q: The quality manager believes there may be a relationship between the experience level of an inspecto...

A: State the hypotheses. Null hypothesis: Alternative hypothesis: Obtain the value of the test statis...

Q: Gibbon Song Duration. A preliminary behavioral study of the Jingdong black gibbon, a primate endemic...

A: Given Information According to  empirical formula 68% of data falls within the one standard deviati...

Q: Hallux abducto valgus (call it HAV) is a deformation of the big toe that often requires surgery. Doc...

A: Solution: The given information is that the angle of deformity in 38 consecutive patients under the ...

Q: To determine if chocolate milk is as effective as other carbohydrate replacement drinks, nine male c...

A: Click to see the answer

Q: Mrs. Voorhees claims that a Bowie knife is the most effective method of disposing rowdy campers. In ...

A: Click to see the answer

Q: 7. Archaeology: Ireland Inorganic phosphorous is a naturally occurring element in all plants and ani...

A: Given data Region 1: x1 Region 1: x2 540 750 810 870 790 700 790 810 ...

Q: A farmer claims that the mean cotton yield per acre is less than or equal to 850 pounds. The farmer ...

A: Hypotheses: Null hypothesis: µ ≥ 850. That is, the mean cotton yield per acre is not less than 850 p...

Q: A fast food restaurant just leased a new freezer and food fryer for three years. The service contrac...

A: Click to see the answer

Q: Chapter 08, Section 8.2, Problem 011 For a data set obtained from a sample, n = 82 and I = 45.30. It...

A: Determine the point estimate of the population mean . The point estimate of the population mean is o...

Q: A random sample of six advertisements taken from Scientific American had the following fog indices (...

A:  

Q: In order to approximate the probability of a sample​ proportion, which of the following needs to be​...

A: The sampling distribution of p-hat(sample proportion) is approximately normal with mean p and standa...

Q: A market researcher believes that brand perception of one of the company's products may vary between...

A: Click to see the answer

Q: The probability of an event is given. Find the odds in favor of the event. 0.5

A: The probability of an event is given as 0.5, from this the probability of non-occurrence of the even...

Q: The probability of an event is given. Find the odds in favor of the event. 0.35

A: The formula for calculating the odds in favor of the event is, The probability of event occurs is 0...

Q: A company wants to evaluate its attrition rate, in other words, how long new hires stay with the com...

A: First, we have to find the missing probability i.e probability that a new hire will stay for 4 years...

Q: Carrington oil produces gas 1 and gas 2. Gas 1 is allowed to contain up to 4% impurities, and gas 2 ...

A: Click to see the answer

Q: The hypotheses Ho p = .56 Ha p > .56 were tested and had a p-value of .03, the correspondingconfi...

A: The p-value is 0.03. Let consider 95% confidence interval. Here, p-value (0.03) < level of signif...

Q: This exercise is based on summary statistics rather than raw data. This information is typically all...

A: Solution: a. From the given information, the standard error of the mean for the group Alcohol is 0.0...

Q: Section 9.2 2.) Find the range and standard deviation of the following set of data 191,183,186,197,1...

A: The given data set is, 191,183,186,197,173,192,208 The maximum value is, 208 The minimum value is 17...

Q: The CDC has asked for your help interpreting their data on COVID-19. From a sample of 64 patients, y...

A: From the given information, Sample size = 64 Sample mean = 21 Population standard deviation = 6 Sinc...

Q: Drive for Show and Putt for Dough. An article by Scott M. Berry titled "Drive for show and Putt for ...

A: Standard normal distribution: The standard normal distribution is a special case of normal distribut...

Q: The null hypothesis for ANOVA states that a. the variables are independent b. the variables are rela...

A: ANOVA: In one factor ANOVA model only one factor is studied, that is only the effect on one factor i...

Q: An obtained chi square of 10.78 has been calculated. Critical Chi square is 3.841. What should be co...

A: Solution: State the hypotheses. H0: The variables are independent. Alternative hypothesis: H1: The v...

Q: Find the range and standard deviations of the set of data 25,25,27,23,25 The range_____ The standard...

A: Given data 23, 25, 25, 25 27 Range = Highest – lowest = 27 – 23 = 4 Mean is given by

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the proba...

A: Consider, A be the events that shows the number that are more than 2 and B be the event that depicts...

Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True   ...

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are nor...

Q: Ethanol Railroad Tariffs. An ethanol railroad tariff is a fee charged for shipments of ethanol on pu...

A: Click to see the answer

Q: The placebo effect is particularly strong in patients with Parkinson's disease. To understand the wo...

A: It is given that:

Q: A random sample of eight pairs of twins was randomly assigned to treatment A and treatment B. Tw...

A: a) Hypotheses and level of significance: Denote μ1 and μ2 as the mean life time for treatment A and ...

Q: In the following problem, check that it is appropriate to use the normal approximation to the binomi...

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

Q: A programmer plans to develop a new software system. In planning for the operating system that he wi...

A: (a) If the primary information is unknown, assume that the sample proportion is,  The Margin of err...

Q: Rejection of the null hypothesis in the two-sample case imp;ies thatr the a. samples are different o...

A: b. populations from which the samples are drawn are different on the trait of interest

Q: What is the value of an investment(now) that will be worth $2,000 at the end of five years? Assume a...

A: Note: Hey there! Thank you for the question. As we do not have access to the TVM solver of the graph...

Q: What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in ...

A: Mean: The general formula to obtain the mean of a grouped data is, Mean = (∑fm)/N The below table sh...

Q: Using traditional methods it takes 99 hours to receive an advanced driving license. A new training t...

A: Computation of test statistic value: Sample size is greater than 30 and the population standard devi...

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population o...

A: (a)  Solution: It is given that, Population standard deviation, =19 Margin of error,E = 07 The value...

Q: 1)Two sided dice or Old what is the probability that the sum of two numbers on the dice will be 6?

A: Sample space: The set of all possible outcomes of a probability experiment is called sample space of...

Q: The table below includes results from polygraph​ (lie detector) experiments conducted by researchers...

A: Given information- Significance level, α = 0.05 Let us determine the row/column total in the table f...

Q: According to a recent​ survey, 53% of adults say they never wear a helmet when riding a bike. Suppos...

A:  

Q: A study found that 1 out of 200 adult males have green eyes. If a random sample of 400 adult males i...

A: The sampling distribution of p-hat(sample proportion) is approximately normal with mean p and standa...

Q: A psychologist conducted a survey of the attitude towards the sustainability of American energy cons...

A: The degrees of freedom (k-1) is used for calculating the critical value, there are 4 categories give...

Q: Why is obtaining the mean and standard deviation of xa first step in approximating the sampling dist...

A: Mean and Standard deviation are the parameters for Normal distribution. Therefore to determine exact...

Q: A study found that the heights of college males follow a normal distribution with a mean of 70 inche...

A:  

Q: An educational researcher wishes to know if there is a difference in academic performance for colleg...

A: G. Hypotheses: H0­ : The freshman housing location and academic performance are related. The alterna...

Q: Answer true or false to each statement concerning a confidence interval for a population mean. Give ...

A: The confidence level can be determined if you know only the margin of error, population standard dev...

Q: faculty have a final exam grade distribution that is, miraculously, exactly a normal distribution. L...

A: Obtain the minimum score required for the final exam to be in the top 10% of students and guarantee ...