A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 2
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A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are ________
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- A researcher believes that children who attend elementary school in a rural setting have lower obesity rates then children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who are clinically obese. The data is summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been met. Find the z-statistic (rounded to the nearest hundredth) and p-value (rounded to the nearest thousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusion regarding the null hypothesis H0: prural = purban. a) z = -1.95, p = 0.026. There is sufficient evidence to reject the null hypothesis. b) z = -1.85, p = 0.032. There is sufficient evidence to accept the null hypothesis. c) z = -1.95, p = 0.026. There is not sufficient evidence to reject the null hypothesis. d) z =1.95, p = 0.026. There is sufficient evidence to…Samples of body temperatures were taken from both men and women. The information from the samples is summarized below. Use a 0.05 significance level to to test the claim that men and women have different mean body temperatures. Men: n₁ = 15; 1 = 98.38° F; s₁ = 0.45°F Women: n2=91; 2 = 98.17°F; $2 = 0.65° F a. On your Work Upload or Calculations page, write down your hypotheses. Label which hypothesis is the claim. b. The test statistic is c. The critical value is . (Round to 3 decimal places.) (Round to 3 decimal places.) d. The p-value is (Round to 3 decimal places.) e. On your Work Upload or Calculations page, show how you made your decision using either the traditional or p-value method. The correct decision is to 1: Reject the null hypothesis, or 2: Fail to reject the null hypothesis. box.) (Type 1 or 2 in the f. On your Work Upload or Calculations page, write your conclusion/results summary. (Use the standard language about evidence and support of claims.)According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.
- It has been claimed that at a university at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. What is the test value for testing the claim at a=.02? O A. - 2.33 B. 1.32 O C. -1.32 O D. - 1.29The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…Suppose a study reported that the average persin watched 3.37 hours of television per day. a random sample of 15 people gave the number of hours of television watched per day shown below. at the 1% significance level, do the data provide sufficent evidence to conclude that the amount of television watched per day last year by the average person is greater than the value reported in the study? what is the test statistic value for this problem? a.0.28 b.-38 c.none of the above d. 0.58 e.-4.295 f..04 g. 1.94 . the proper conclusion for this problem is? a. reject the null hypothesis we have sufficent evidence to prove the average number of hours people watch tv is more than 3.37 hours. b. Do not reject the null hypothesis we have sufficient evidence to prove the average number of hours of TV watched is greater than 3.37 hours c. Reject the null hypothesis and claim the average number of hours people watch TV is less than 3.37 because the P value is near zero d. Do not reject the null…
- A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The p-value of this test is: O a. 0.1144 Ob. 0.0644 O C. 0.1000 Od. 0.0743 e. 0.0144Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is more than 100. She surveyed 25 of them and found their mean at 120 with a standard deviation of 30. Which significance level will reject the null hypothesis completely? A a> 0.14% B a <0.14% a ≥ 0.14% a ≤ 0.14% DA psychologist would like to know whether the season (autumn, winter, spring, and summer) has any consistent effect on people's sexual activity. In the middle of each season, a psychologist selects a random sample of 22 students. Each individual is given a sexual activity questionnaire. A one-factor ANOVA was used to analyze these data. Complete the following ANOVA summary table (a = 0.02). Round your answers to three decimal places, if necessary. Source Between Within Total SS 867.72 df MS F 2.98 P-value
- One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5A psychologist would like to know whether the season (autumn, winter, spring, and summer) has any consistent effect on people's sexual activity. In the middle of each season, a psychologist selects a random sample of 23 students. Each individual is given a sexual activity questionnaire. A one-factor ANOVA was used to analyze these data. Complete the following ANOVA summary table (a 0.05). Round your answers to three decimal places, if necessary. Source Between Within Total SS 473.44 df = MS F 3.63 P-valueAccording to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, California had 724 complaints of identity theft out of 3466 consumer complaints. Does this data provide enough evidence to show that California had a higher proportion of identity theft than 20%? Test at the 5% level. State the hypotheses. Ho: P ? ✓ Ha: P?V Calculate the test statistic. Round to four decimal places. Ô = Calculate the standardized test statistic. Round to three decimal places. Z= Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is less than .05, reject Ho. O Since the p-value is less than .05, fail to reject Ho. Since the p-value is greater than .05, fail to reject Ho. Since the p-value is greater than .05, reject Ho. Interpret the results. O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in California is not…