Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337515429
Author: GRAVETTER
Publisher: Cengage
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Chapter 10.4, Problem 3LC
To determine
To Identify: The accurate description ofthe 95% confidence interval for an
independent-measures study for which a hypothesis test concludes that there is
no significant mean difference with
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Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that two have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder.
Which of the following is the most likely reason you would use a Wilson estimator to calculate the confidence interval estimator?
A confidence interval estimator based on the Wilson estimator does not use the normal distribution.
It is possible that if even the actual proportion in Utah is 1%, your sample may only have very few children who have had a previous diagnosis of an autism disorder.
It is an easier way to calculate the confidence interval estimator.
It is uncomfortable to define having been diagnosed with autism as a success.
Let p be the proportion of…
A traffic engineer wishes to determine whether cell phone use while driving causes subjects to speed.
The engineer has organized for subjects' friends to call while they are driving on a highway and then records their
speeds before, during, and after the call.
A test is performed on the following hypothesis:
Ho : Pphone = Pno phone
Ha : Pphone 7 Pno phone
Define Pphone as the proportion who speed while on the phone and Pao phone as the proportion who speed while not
on the phone.
If this test yields a p-value of 0.0782, which of the following conclusions can be made?
Which of the following situations will result in the widest confidence interval about a mean?
a. large n and α = 0.01
b. small n and α = 0.05
c. small n and α = 0.01
d. large n and α = 0.05
The answer is c: small n and α = 0.01. Please explain why and provide a solution.
Chapter 10 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 10.1 - Which of the following is most likely to be an...Ch. 10.1 - Which of the following is most likely to be a...Ch. 10.1 - An independent-measures study comparing two...Ch. 10.2 - Which of the following is the correct null...Ch. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.3 - What is the value of the independent-measures t...Ch. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LC
Ch. 10.4 - Prob. 1LCCh. 10.4 - Which of the following is not an accurate...Ch. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.5 - Which of the following accurately describes how...Ch. 10.5 - Which of the following accurately describes how...Ch. 10.5 - Which of the following sets of data would produce...Ch. 10 - Describe the basic characteristics that define an...Ch. 10 - Describe what is measured by the estimated...Ch. 10 - One sample has SS = 36 and a second sample has SS...Ch. 10 - One sample has SS = 60 and a second sample has SS...Ch. 10 - Two separate samples, each with n = 9 individuals,...Ch. 10 - Two separate samples receive different treatments....Ch. 10 - Research results suggest a relationship between...Ch. 10 - Does posting caloric content for menu items affect...Ch. 10 - A long history of psychology research has...Ch. 10 - Recent research has shown that creative people are...Ch. 10 - Recent research has demonstrated that music-based...Ch. 10 - McAllister et al. (2012) compared varsity football...Ch. 10 - Zhou and Vohs (2009) published a study showing...Ch. 10 - In a classic study in the area of problem solving...Ch. 10 - A researcher conducts an independent-measures...Ch. 10 - In a recent study, Piff, Kraus, Ct, Cheng, and...Ch. 10 - Describe the homogeneity of variance assumption...Ch. 10 - If other factors are held constant explain how...Ch. 10 - As noted on page 275, when the two population...Ch. 10 - Two samples are selected from the same population....Ch. 10 - For each of the following, assume that the two...Ch. 10 - For each of the following, calculate the pooled...Ch. 10 - It appears that there is some truth to the old...Ch. 10 - In 1974, Loftus and Palmer conducted a classic...
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- Peggy constructed the 95 percent confidence interval (4.8,5.2)(4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy? A)Peggy’s claim is correct. B)Quincy’s claim is correct. C)Both Peggy’s claim and Quincy’s claim are correct. D)Neither Peggy’s claim nor Quincy’s claim is correct. E)There is not enough information to determine whether the claims are correct.arrow_forwardSuppose a 95% confidence interval for μ turns out to be (1,000, 2,100). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width? Increase the sample size. Increase the sample mean. Increase the population mean. Increase the confidence level.arrow_forwardTwo different researchers measured the weight of two separate samples of ruby-throated hummingbirds from the same population. Each calculated a 95% confidence interval for the mean weight of these birds. Research 1 found the 95% confidence interval to be 3.12 g < mu< 3.48g, while Researcher 2 found the 95% confidence interval to be 3.05 g < mu < 3.62g. Answer these 3 questions.arrow_forward
- II. 4 and 5arrow_forwardWhich of the following is the concept illustrated with the misentered data? OA. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust. OB. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust. OC. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is less robust.arrow_forwardA 95% confidence interval for the difference in proportions of rotted fruit between Orchard A and Orchard B is (0.03, 0.11). What does this mean? X Previous C 95% of the fruit at Orchard A and B are between 3% and 11% rotted. We are 95% confident that the difference in the percentages of rotted fruit at these orchards is between 3 and 11 percentage points. The percentage of rotted fruit at Orchard B is between 3 and 11 percentage points higher than Orchard A. 4 r We are 95% confident that the Orchard A has between 3% and 11% rotted fruit. f 5 % 5 t g Oll A 6 b y h & 7 n O u j 8 m i k ( 9 V O alt 1 e A ctrl [ Next G backspac }arrow_forward
- A 95% confidence interval for the proportion of all statistics students from a large high school that have a part-time job is (0.225, 0.395). You plan to compute a 99% confidence interval using the same data. Which of the following statements is correct?arrow_forwardA sample of 23 plants was taken and the mean height was 27 cm. A 95% confidence interval for the true mean height of plants of that particular species is (23.2 cm, 30.8 cm). Four students gave the following interpretations of the confidence interval. Which of the following is correct? 1. We are 95% confident that the true mean height is 27 cm since that value lies in the confidence interval 2. We can be fairly confident that 95% of all plants of that species have a height between 23.2 cm and 30.8 cm. 3. The probability is 0.95 that the mean height lies in the interval (23.2 , 30.8). 4. We are 95% confident that the true mean height for all plants of that species will lie in the interval (23.2, 30.8)arrow_forward
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