Is the proportion of teenagers with Back pain the same as those without back pain? A random sample of 100 adolescents in Hornsby in NSW in 2020 was used to answer the above research question. Use the information bellow to perform the appropriate hypothesis test. [6 Marks] Perform an appropriate hypothesis test to answer the above research question.

Q: Use the t-distribution and the sample results to complete the test of the hypotheses.

A: The sample size is n = 100 Sample mean = 105.1 And sample SD = 15.5 Level of significance = 0.05

Q: If you wish to test the claim that the mean of the population is 100, the appropriate null…

A: Given that If you wish to test the claim that the mean of the population is 100. Note:- The null…

Q: Can vaccination be regarded as a preventive measure for small pox from the data given below ? 'Of…

A:

Q: Perform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample…

A:

Q: What is the p-value of a one-sided greater than One-Sample Z-Test for Mean where the z-statistic…

A: We have to find p value for given test.

Q: When conducting a independant measures t test, the null hypothesis states the difference between the…

A: The study is about conducting a independent measures t test.

Q: Many elementary school students in a school district currently have ear infections.  A random sample…

A: Solution: Let p1 be the proportion of students who have ear infections at one school and p2 be the…

Q: A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the…

A: Claim : The amount of smoking is independent of seat belt use. Hypothesis : H0 : The amount of…

Q: 55,000, average male's salary under 6 foot tall of $47,000, with a p-value of 0.45.  Based on that…

A: Given: p-value=0.45 We usually take the significance level as 5%, i.e, 0.05. The decision rule…

Q: Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency…

A:

Q: We have provided a sample mean, sample size, and population standard deviation. In each case, use…

A:

Q: State the null and alternative hypotheses for the statistical test described below. Testing to see…

A: a) Null Hypothesis is H0: p > 0 Alternative hypothesis is HA: p < 0

Q: Generally speaking, would you say that most people can be trusted? A random sample of n1 = 255…

A: We have to test that if proportion for higher age group is more than that of lower age group.

Q: A premed student in statistics class wants to test the claim that the mean body temperature is less…

A: Given information- Population mean, μ = 98.6℉ Sample size, n = 12 Significance level, α = 0.05 We…

Q: The director of student services at Oxnard College is interested in whether women are more likely to…

A: Instruction : "please answer d, e, f" For Women: Sample size , n1 = 386 + 275= 661 sample…

Q: A researcher was interested in comparing the amount of time (in hours) spent watching television by…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: In a simple random survey of 89 students of faculty of medicine at the University of Jordan, 73 said…

A: It is given that out of 89 students, 73 said that Principles of Statistics was the most satisfying.…

Q: The US Department of Energy reported that 51% of homes were heated by natural gas. A random sample…

A: The random variable heated by natural gas follows normal distribution. The sample size is 312. The…

Q: A researcher gathered from historical papers that the proportion for the success of an event was…

A:

Q: A. Is there evidence of a dependence between a registered voter's opinion and their age? Test using…

A: Given Information: Age group For Against Total 18 - 34 192 48 240 35 - 59 306 144 450 60+…

Q: In general, if sample data are such that the null hypothesis is rejected at the ? = 1% level of…

A: The sample data has rejected the null hypothesis at α=0.01 level of significance for both one tailed…

Q: A researcher hears a study report that 30 percent of Americans are obese, and he wants to test that…

A: Given, A researcher hears a study report that 30 percent of Americans are obese and he wants to test…

Q: Consider the data below. Previous studies have shown that approximately 32% of women deliver…

A: Given information:Sample size (n) = 100Significance level = 0.05

Q: The director of student services at Oxnard College is interested in whether women are more likely to…

A: From the provided information,

Q: Test the claim that the proportion of men who own cats is significantly different than 40% at the…

A: Given that  Claim : The proportion of men who owns cats is significantly different than 40%…

Q: e. What is the value of the observed test statistic, t, associated with the hypothesis test?

A: Given: Output of the test is given. Df for logged forest plot=12 Df for unlogged forest plot=14

Q: Given a P-value between 0.01 and 0.05, what conclusion should you draw at the 5% level of…

A: here given ,  p- value is Between 0.01 and 0.05  significance level = alpha = 0.05

Q: i need to know how to solve this

A: The provided information are:

Q: The Township Board of Meridian Township wants to know how much public support there is for rezoning…

A: 1. Assume that p is the true proportion of Township residents, who are in favor of the rezoning…

Q: An educational policy think tank asked a random sample of adults, “Do you currently have any student…

A:

Q: We have provided a sample mean, sample size, and population standard deviation. In each case, use…

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Q: What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select…

A: Let event 1  and event 2 represent women and men respectively who are attended the session. p1 =…

Q: State the null and alternative hypotheses for the statistical test described below. Testing to see…

A: Given Information: Testing to see if there is evidence that the correlation between two variables is…

Q: Perform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample…

A: We have given that,  Population proportion (p) = 0.125, sample proportion (p̂) = 0.1, sample size…

Q: The national percentage of automobile accident fatalities that are alcohol related is 39%. In a…

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Q: Back in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage…

A: Given n1=n2=1528 X1=795 X2=840

Q: A 2018 General Social Survey asked "Do you/Does your family own your home/apartment, pay rent, or…

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

Q: Is the proportion of wildfires caused by humans in the south different from the proportion of…

A: Given : x1= 350.0 n1= 519 x2= 383.0 n2= 500 significance level, 0.01

Q: In the General Social Survey, respondents were asked "If your party nominated a woman for President,…

A:

Q: A national organization that conducts research on the cost and quality of health care in the U.S.…

A: A national organization that conducts research on the cost and quality of health care in the U.S.…

Q: Dr. Kijowski is concerned about student phone use, so she collects information on the number of text…

A: The box plot is given and from that boxplot we have to interpret the results.   Box plot shows tha…

Q: Use the information below, gathered from 1000 students from a small college who disclosed their age…

A: As we need to identify if any possible association between the attributes, i.e "age" and "type of…

Q: For a hypothesis test comparing two Independent population means, the combined degrees of freedom…

A: given: hypothesis testing of comparison between two population mean  and population standard…

Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…

A: Given, n=152 p=0.07

Q: The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box,…

A: From the provided information, Sample size (n) = 90 Sample mean (x̅) = 43.1 Population standard…

Q: Response Insurance collects data on seatbelt use among U.S. drivers. Of 1000 drivers 25-34 years…

A: Consider that n1 and n2 are defined as the sample sizes of two different groups of drivers 25-34-…

Q: Opposing a random sample of size and equal 16A sample average of 185 it is observed the P value of…

A: Given sample size n = 16  and sample mean = 185  We have to find the p-value of the sample statistic…

Q: The owner of a gasoline station wants to study gasoline purchasing habits by motorists at his…

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Q: A large sample size is needed to show significance in a test of two population standard deviation. O…

A: False. Higher sample size allows the researcher to increase the significance level of the findings.…

Q: The data below comes from a university that wanted to see if there was a relationship between High…

A: Given: 3.85 3.22 2.99 3.89 4.1 4 3.5 2.77 3.51 3.44 3 3.94 3.62 4…