4. In an advanced ballet dance class, it is claimed that 42% of dancers can successfullyperform a double pirouette turn. We randomly select 27 advanced level ballet dancers andonly 13 of them can successfully do a double. Has the proportion increased?a) State the null and alternative hypotheses.b) Find the test statistic. Round to two decimal places.c) Find the p-value. Round to four decimal places.ļd) Suppose we chose a 5% significance level. What is your decision?

Answered: 4. In an advanced ballet dance class,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to a study, 74% of students prefer online exams to in-class exams. Suppose that 21 students are randomly selected. How likely is it that fewer than 12 of these students prefer online exams? Round to four decimal places. a. .9731 b. .0700 c. .9300 d. .0269
According to a newspaper, 58% of high school seniors have a driver's license. Suppose we take a random sample of 200 high school seniors and find the proportion who have adriver's license. a. What value should we expect for our sample proportion? b. What is the standard error? c. Use your answers to parts (a) and (b) to complete this sentence: We expect ____% to have their driver's license, give or take _____%. d. Suppose we increased the sample size from 200 to 800. What effect would this have on the standard error? Recalculate the standard error to see if your prediction was correct.
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to compare the salaries of men and women. She finds a random sample of 80 men and 80 women, and measures their salaries. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. a. Choose the correct answer below. O Independent samples O Paired (dependent) samples b. Choose the correct answer below. O Independent samples Paired (dependent) samples
Please give correct Answers and Answer both parts. A B 6.13 Taste test. Some people report that just one sip, they can detect the difference between a diet and a regular Coke. A researcher wanted to test this claim, so he chose 80 persons at random. He then filled 80 simple white cups with soda, half diet and half regular, and asked each person to take one taste from their cup and identify the soda as diet or regular based on a random assignment. The drink was accurately identified by 53 of the participants. (a) Do these data show that these folks are any better or worse at telling the difference between diet and regular soda than random guessing? (b) Explain the significance of the p-value in this context.
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57% of all the town's residents own a dog and 66% own a cat. Of the dog owners 49% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible) a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) =
A student wishes to determine the average life-span of a household light bulb. She randomly collects 15 light bulbs. The issue that may arise from her survey is… The bias will be high. The accuracy will be low. The precision will be low. The standard error will be too low.
A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each. The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”. Here is what each person did to collect their sample: Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her. She surveyed 10 people each time to get her 30. Jennifer: She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out. When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there. Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample. Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…
Random samples of students at 107 four-year colleges were interviewed several times since 1998. Of the students who reported drinking alcohol, the percentage who reported bingeing at least three times within the past two weeks was 41.1% of 336 students in 1998 and 21.6% of 843 students in 2004. a. Estimate the difference between the proportions in 2004 and 1998, and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a 90% confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid. ... A. The number of students in the population in 2004 who reported drinking alcohol that binged at least three times within the past two weeks. B. The proportion of the student population in 1998 who reported drinking alcohol that binged at least three times within the past two weeks. C. The number…
A survey of 2,510 golfers showed that 311 of them are left-handed. Find a point estimate for p, the population proportion of golfers that are left-handed. A. 0.11 B. 0.124 C. 0.141 D. 0.876
Determine the sample proportion of each gender that considers talking too much to be a relationship dealbreaker. Pm =___ PF=___ (Round to three decimal places as needed.)

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