primary school students. Teach- 7.6 In 1985, the state of Tennessee carried out a st ers and students were randomly assigned to be in a regular-sized class or a small class. The outcome of interest is a student's score on a math achievement test (MATHSCORE). Let SMALL = 1 if the student is in a small class and SMALL = 0 otherwise. The other variable of interest is the number of years of teacher experience, TCHEXPER. Let BOY = 1 if the child is male and BOY = 0 if the child is female. sometric specification of the linear regression model
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- A study was conducted simultaneously in two different communities in New York City to examine an association between variable A and variable B. The resulting analysis yielded two different p-value in the two communities? Study in Community A yielded a p-value of 0.01.Study in Community B yielded a p-value of 0.05. Which of the above values provides a stronger indictment of the null hypothesis? A. 0.01B. 0.05The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?A researcher used a repeated-measures experiment to examine the effectiveness of motivational workshop on work productivity. If the data collected in a sample of n = 30 employees produced the dependent sample t-test statistic t = 2.09. Which of the following the correct decisions regarding the null hypothesis, H0 for the 2-tails tests?
- Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?A store manager hypothesizes that the average number of pages a person copies on the store’s copy machine is less than 40. A sample of 50 customers’ orders is selected. At a ? 0.01, is there enough evidence to support the claim? Use the P-value hypothesis-testing method. Assume sigma = 30.9. consisting of 22 farms showed that the average was 63.2 acres per farm. Test the claim, at a ? 0.10, that the average has not changed by finding the P-value for the test. Assume that s has not changed and the variable is normally distributed. Please show how to solve using the necessary formulas. Thanks!The test statistic of z=1.93 is obtained when testing the claim that p>0.2. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.10,should we reject H0 or should we fail to reject H0?
- An independent-measures research study uses two samples, each with n = 10 participants. If the data produce a t statistic of t = 2.095, which of the following is the correct decision for a two-tailed hypothesis test? a. Reject the null hypothesis with α = .05 but fail to reject with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Retain the null hypothesis with either α = .05 or α = .01 d. Cannot answer without additional informationA sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05A high school is proud of its advanced chemistry class, in which its 16 students scored an average of 89.3 on the statewide exam, with s = 9. a. Test the null hypothesis that the advanced class is just a random selection from the state population (μ = 84.7), using alpha = .05 (two-tailed). b. Test the same hypothesis at the .01 level (two-tailed).
- Q.5.1 A national publishing house claims that 45% of all weekly magazine readers inSouth Africa read their publication. Test this claim at the 5% significance level,if a survey found that 205 out of a random sample of 500 magazine readerssaid that they read the relevant publication.In a given year, 13.5% of working people in the US claim to be a member of a union. A research team was hired to randomly contact 2000 city workers and 240 claims union membership. Is there a sufficient evidence to cook conclude that the proportion of workers in this large city (population 500,000) who are union members is different from the national right? (Use a significance level of 0.05 (Alpha)) Question what is the null hypothesis (Ho) and what is the alternative hypothesis (Ha)An ecologist who analyzes water samples tests the nullhypothesis that any contaminants in the water are belowdangerous concentrations. Because he uses a = 0.05, aset of samples from a small lake that produced a P-valueof 0.07 led him to conclude that the evidence did notpoint to unsafe water conditions. Which is true?A) There’s a 7% chance the lake’s water really is safe.B) There’s a 93% chance the lake’s water really is safe.C) There’s a 7% chance his sampling would have shownas much contamination as it did even if the lake’swater really is safe.D) If the lake’s water really is unsafe, there’s a 5%chance he wouldn’t notice.E) If he had taken more samples, he probably wouldhave rejected the null and concluded that the waterwas unsafe.