12) As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r = .600 for a sample of n = 10 participants. a) Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with a = .05. b) If the sample had n = 25 participants, is the correlation significant? Again, use a two- tailed test with a = .05.

Question
12)
As we have noted in previous chapters, even a very small effect can be significant if the sample
is large enough. Suppose, for example, that a researcher obtains a correlation of r = .600 for a
sample of n = 10 participants.
a) Is this sample sufficient to conclude that a significant correlation exists in the
population? Use a two-tailed test with a = .05.
b) If the sample had n = 25 participants, is the correlation significant? Again, use a two-
tailed test with a = .05.
Expand
Transcribed Image Text

12) As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r = .600 for a sample of n = 10 participants. a) Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with a = .05. b) If the sample had n = 25 participants, is the correlation significant? Again, use a two- tailed test with a = .05.

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: I dont knowhow to do. this

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Iron is an integral part of many proteins and enzymes that maintain good health. Recommendations for...

A: Claim: A hypothesis test is to be performed to decide whether adults females under the age of 51 yea...

Q: According to a newspaper, 78% of high school seniors have a driver's license. Suppose we take a rand...

A: 1] sample size n=200 2] p=78%=0.78

Q: Suppose that the average number of Facebook friends users have is normally distributed with a mean o...

A: Mean of the sampling distribution of the sample mean is, Thus, the Mean of the sampling distributio...

Q: Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. ...

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

Q: Which of the following does not need to be known in order to compute the p-value? O knowledge of whe...

A: Click to see the answer

Q: Suppose a life insurance company sells a ​$290,000 ​1-year term life insurance policy to a 20​-year-...

A: Given that :  A life insurance company sells a $290,000 1 -year term life insurance policy to a 20 -...

Q: Construct a (1-α)% interval estimate for the mean force of electrical insulators, and then display t...

A: T - distribution is applicable here 

Q: 

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the...

A:   a. Since the population standard deviation is unknown, the appropriate test is one sample t-test. ...

Q: A researcher is conducting a Chi2 for Independence test to evaluate a relationship between gender (i...

A: State the hypotheses. Null hypothesis: Alternative hypothesis:  

Q: The price per share of stock for a sample of 25  companies was recorded at the beginning of the firs...

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population ...

Q: The records of a casualty insurance company show that, in the past, its clients have had a mean of 1...

A: Given information- Population mean, µ = 1.8 Population standard deviation, σ = 0.06 We have to test ...

Q: Show on a TI-84 calculator please and thank you  The mean rate for cable with internet from a sample...

A: Ti84 command  2ND > Vars > normalcdf(lower limit , upper limit, mean , stdev) ================...

Q: Show work please    If SAT scores are normally distributed with a mean of 500 and a standard deviati...

A: Given that  μ=500σ=100 Let a be the minimum score is needed to ensure that you are in the top 7%. Th...

Q: One particular professional association of investors conducts a weekly survey of its members to meas...

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

Q: Refer to the data in images.  Test for a significant difference in the variances of theinitial white...

A: Solution: It is asked to test the claim that is there a significant difference in the variances of t...

Q: What is the answer?

A: a. Given that, n=700; p^=0.20 Confidence level is 90% Critical value: The two tailed z critical valu...

Q: (a) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (R...

A: The pooled proportion can be calculated as:

Q: A company wants to estimate the mean time (in hours) per week for an adult who uses computers at hom...

A: Click to see the answer

Q: The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is...

A: Solution: From the given information, the pair of observations are 9, confidence level is 95%, CI=d¯...

Q: Please show work thank you   The p-value of a test of H0: μ1≤μ2  versus Ha: μ1>μ2  is 0.04711.  D...

A: Since, the p-value depends on nature of alternate hypothesis, so we will calculate p-value according...

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop ...

A: n (sample size ) > 30 , Then CLT is applicable

Q: (When your actually trying to study)

A: Median is the middle value of the observations in the distribution when the data values are in seque...

Q: The cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/d...

A: State the hypotheses That is, there is no evidence that the variance of the cholesterol levels of a...

Q: What is statistics

A: Statistics Statistics is defined as the collection, presentation, interpretation of the data and pre...

Q: In a sample of 450 adults, 284 had children. Construct a 90% confidence interval for the true popula...

A: The best point estimate of the population proportion is the sample proportion. It was found that out...

Q: Show work please and thank you the box plot is in the image view  The boxplot below shows salaries f...

A: Boxplot is the graphical summary of five number summary of the data which is minimum, first quartile...

Q: The average daily volume of a computer stock in 2011 was μ=35.1 million​ shares, according to a reli...

A: Click to see the answer

Q: To check whether the popularity of a political candidate is down from 65%, a random sample of 500 vo...

A: Click to see the answer

Q: Thank you in Advance for quick response. Best,

A: In this case the random variable X defines the length of a jail sentence issued by a judge for simil...

Q: In order to test the following hypotheses at an a level of significance Ho:HS 800 H: u > 800 the nul...

A: Given hypothesis is, H0:μ≤800Ha:μ>800 Here, the alternative hypothesis is greater than case. That...

Q: 1. A student decided to enroll in a reading course that allegedly increases reading speed & comp...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ca...

Q: The patient director of Health plus clinic has just conducted a study of customer waiting time befor...

A: 1] The waiting time has an approximately normal distribution with mean (μ)=22.14 and standard deviat...

Q: answer c

A: Use T- distribution.

Q: In a science fair​ project, Emily conducted an experiment in which she tested professional touch the...

A: (a)   Obtain the proportion of correct responses that would be expected if the random guesses made b...

Q: In a large clinical trial, 396,553 children were randomly assigned to two groups. The treatment grou...

A: Given, α=0.10 a). To test the claim p1<p2 hypothesis test is better to be used. b). The p-value m...

Q: Show work please In a sample of 390 people attending a concert, 60% stated that the venue was a good...

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

Q: A researcher is interested in the effect of positive affirmations on self-confidence. What is the co...

A: Note: Hey there! Thank you for the question. As you have posted multiple questions together, accordi...

Q: Use the following sample to estimate a population mean u. 64.2 41 74.5 43.1 33.1 62.2 70.9 80.6 Assu...

A: Click to see the answer

Q: A possible important environmental determinant of lung function in children is the amount of cigaret...

A: 8.37: : Two tail test: Consider, Power=2Pt<x¯1-x¯2(n1-1)s12+(n2-1)s22n1+n2-21n1+1n2|n1=40 and n2=...

Q: For a confidence level of 80% with a sample size of 32, find the critical t value. Submit Question

A: Provided information is: n=32, Confidence level is 80% (1-α)=0.8 α=0.2

Q: Show work please thank you :) The mean rate for cable with internet from a sample of households was ...

A: Click to see the answer

Q: An automobile assembly line operation has a scheduled mean completion time, μ, of 12.8 minutes. The ...

A: Click to see the answer

Q: Answer C and D. Previously submitted and answer was wrong.

A: Given Information :  A company produces steel rods . The lengths of the steel rods are normally dist...

Q: Suppose a new production method will be implemented if a hypothesis test supports the conclusion tha...

A: a)   Consider that μ defines the population mean cost.