A research study was conducted about gender differences in sexting, the sending of sexually explicitmessages or images by cell phone. A researcher believes that the proportion of girls sexting is less than theproportion of boys sexting and decides to collect data in the spring of 2010 among a random sample ofmiddle and high school students in a large school district in the southern United States. The researcherfinds 156 out of 2, 169 girls are sexting and 183 out of 2,231 boys are sexting. Is there enough evidence tosupport the researcher's belief that the proportion of girls sexting is less than the proportion of boyssexting? Test at the 0.1 level of significance.Preliminary:a. Is it safe to assume thatngirls 5% of all girls in middle and high school students in a large school district in the southernUnited States andnboys 5% of all boys in middle and high school students in a large school district in the southernUnited States?NoYesb. Verify np(1-p) ≥ 10. Round your answer to one decimal place.ngirls (1-)=nboys(1-2)=Test the claim:a. Determine the null and alternative hypotheses.Ho: PatriHa: Pgirls?PboysPboys?b. The hypothesis test isSelect an answerc. Determine the test statistic. Round to two decimal places.d. Find the p-value. Round to four decimal places.p-value =e. Make a decision.O Fail to reject the null hypothesis.O Reject the null hypothesis.

The question is about hypothesis testing.Given :Randomly selected no. of girls ( ngirls ) = 2169No.…

Answered: A research study was conducted about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher hypothesizes that personality type is related to heart disease. Type A people, who are competitive and impatient are more prone to heart diseases. Type B people, who are more relaxed, are less likely to have heart problems. The following data about personality type and heart disorder are from a random sample. No heart disease heart disease total Type A 32 18 50 Type B 128 22 150 total 160 40 Do these data support that there is a significant relationship between personality type and heart disease? Test at the .05 level of significance. Compute the phi-coefficient to measure the strength of the relationship.
Sociologists argued that women on average earn less than men as women often choose to work less hours. They further suggest that the choice of hours worked may be driven by various factors such as age, childcare needs, occupation choice and flexibility. To investigate the relation between hours worked and income earned by Australian men and women, a researcher plans to survey a sample of individuals across the country. First, the researcher categorised the data into six location groups and six occupation groups, and calculated the frequencies given below. Frequency tables Location Occupation Location category Frequency Occupation category Frequency Location group A 5 Occupation group 1 4 Location group B 7 Occupation group 2 26 Location group C 12 Occupation group 3 15 Location group D 25 Occupation group 4 12 Location group E 10…
The accompanying table summarizes data from a survey of 3,594 parents with school-aged children. In this survey, parents were asked if they were completely satisfied with the education their oldest child receives. School Type Percentage of ParentsCompletely Satisfied Public 28% Private 62% Of the 3,594 parents surveyed, 608 were parents whose oldest child attended a private school. The parents participating in this survey were thought to be representative of U.S. parents of school-aged children. (a) Use the given information to determine the number of parents surveyed falling into each of the cells in the table below. (Round your answers to the nearest integer.) CompletelySatisfied Not CompletelySatisfied Total Public School Private School 608 Total 3,594 (b) Estimate the probability that a randomly selected parent of school-aged children is completely satisfied with his or her oldest child's education. (Round your answer to four decimal…
x Resorts & Spas, a magazine devoted to upscale vacations and accommodations, published its Reader's Choice List of the top 20 independent beachfront boutique hotels in the world. The data shown are the scores received by these hotels based on the results from Resorts & Spas' annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a hotel as excellent or very good on one of three criteria (comfort, amenities, and in-house dining). An overall score was also reported and used to rank the hotels. The highest ranked hotel, the Muri Beach Odyssey, has an overall score of 94.3, the highest component of which is 97.7 for in-house dining. If required, round your answer to three decimal places. Click on the datafile logo to reference the data. Hotel Overall Comfort Amenities In-House Dining Muri Beach Odyssey 94.3 94.5 90.8 97.7 Pattaya Resort 92.9 96.6 84.1 96.6 Sojourner's Respite 92.8 99.9 100.0 88.4…
A social psychologist wants to know if people judge a person's attractiveness differently if they appear rich or poor. Two pictures were taken with the same model, one in expensive clothes standing next to a new sports car, and the other in old clothes standing next to an old hatchback car. In an online survey, participants were randomly divided so that they saw one of the two pictures and were asked to rate the model's attractiveness on a scale of 1 to 10. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVA
Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 Which of the following formulas would you use to calculate the test statistic? and calculate the test statistic to two decimal places (2dp). Test statistic =
In an article about unusual allergies, a doctor explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation's 10 million asthmatics who are allergic to sulfites. In one survey, 39 of 600 randomly selected asthmatics in the country were found to be allergic to sulfites. Find and interpret a 95% confidence interval for the proportion, p, of all asthmatics in the country who are allergic to sulfites. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. to The 95% confidence interval is from (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. O A. There is a 95% probability that the sample proportion of all asthmatics in the country who are…
A study was conducted to explore the possibility of a music treatment effect on sleep quality (better, worse). One version of the study involved 41 truck drivers. The truck drivers were given the option to choose which group they were in. One group listened to music while they slept, while the other group did not. The researchers found a difference of 10.6 percentage points between the proportion of truck drivers in each group who experienced better sleep quality. The group that listened to music had the higher proportion. The tail proportion from a randomisation test carried out with the data from the study was 4/1000.
in a gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mean of those who do not worry identify theft is close to what?
A research study was conducted about gender differences in "sexting." The researcher believed that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance. a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis. b) Determine the test statistic. Round to two decimals. Z = OH₁: PB PG p= 1.26 c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis ● Fail to reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.…
Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal. AirTran Southwest 34 59 | 43 30 3 45 64 42 33 66 32 42 | 85 30 48 105 45 28 | 38 85 110 50 10 33 50 26 70 75 45 63 52 83 78 27 70 42 35 33 64 65 27 90 38 52 76 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let u, = population mean minutes late for delayed Airtran flights and u, = population mean minutes…
Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 178 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H, :0 H, : (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the…

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