According to the American Association of Community Colleges, 23% of community college students receive federal grants. The California Community College Chancellor’s Office anticipates that the percentage is smaller for California community college students. They collect a sample of 1,000 community college students in California and find that 210 received federal grants. Use the above information to answer the following questions. 1.  For which group are we making a hypothesis?   2. Is p _______a________ or is it _____b______ the national number? a. 23, 0.23, 210, or .210 b. larger than, not equal to, or smaller than 3. Which are the correct hypotheses for this scenario? 4. What does pp represent in the hypotheses?

1.Consider the following 2x2 table constructed using data from the 2016 American National Election Survey. Gender Voted for Clinton Voted for Trump Total Man 559 625 1,184 Woman 783 612 1,395 Total 1,342 1,237 2,579 Test to see if there is a difference in the proportion of people who voted for Trump by gender. The standard error from a randomization distribution is .02. Do all steps of a hypothesis test, and use a standard normal distribution to conduct the analysis. Hint: Your test statistic is the z-statistic.

According to a recent census, 14.3% of all housing units in a certain country are vacant. A county supervisor wonders if her county is different from this. She randomly selects 893 housing units in her county and finds that 162 of the housing units are vacant. Complete parts a through d below. a) State the hypotheses. Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below. OA. Ho: p<0.143 HA: P = 0.143 O C. Ho: p=0.143 HA: P<0.143 OB. Ho: p=0.143 HA: P = 0.143 O D. Ho: p20.143 HA: P<0.143 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Choose the correct answer below. Two-proportion t-test Difference in proportions test Proportional t-test O One-proportion z-test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) successes and nqo = than 10. OA. The…

Given the following hypothesis ( null and alternative ), test statistic, and sample size, find the appropriate P- Value: A. H0: p= .3,  p = .3 , Ha: p ≠ .3,  n = 31, *z= -2.70 ( choose one ) a. .0035 b. .0060 c. .0070 d. .0120   B.   H0: ? = .7, Ha: ? ≠ .7, n= 41, *t= -1.90 ( choose one )  a. .0287 b. .0320 c. .0574 d. .0640

1. Write a complete paragraph in APA format describing the research question and your results.   Question: A social psychologist records the number of outbursts among students at two schools. Assuming the same number of students were observed at each school, what is the sample size at each school, the decision to retain or reject the null hypothesis) and the effect size for this study based on the following statement? The number of outbursts among students at the small school (M=3) was significantly less than the number recorded at the large school (M = 5) f(38) =4.19, p < .05(d = 0.25 ).   Results: sample size = 20 for each school For a two tailed test and df = 38, at 0.05 significance level, t = 2.023 (from t distribution table) Here, the critical value is less than t obtained (t2.023 < 4.19) Hence, we reject the null hypothesis at a 5% significance level Given that d = 0.25 => effect size is medium (since 0.2<d<0.8 for medium) Therefore, the study showed a medium…

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According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 14%. The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be theproportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p.(b) Find the standard deviation of D (c) Compute an approximation for P (p ≤0.14), which is the probability that there will be 14%or fewer left-handed people in the sample. Round your answer to four decimal places.

Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n = 85, x1 = 35 Fourth-Years (Pop. 2): n2 = 98, x2 = 53 Is there evidence, at an a = 0.02 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Cary out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-0o, a) is expressed (- infty, a), an answer of the form (b, o) is expressed (b, infty), and an answer of the form (-o, a) U (b, co) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your…

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A municipality’s local election board claims that 25% of registered voters typically cast ballots in annual school board elections.  The local school board believes this percentage of participating voters is, in reality, much lower.  What is the population parameter under consideration?  What hypotheses should the local school board test in this situation?