Hauz of Gaz claims that more than two-thirds of houses in a certain subdivision to use their brand. Is their reason to doubt this claim if 25 out of a random sample of 40 houses in the subdivision use of the company's brand. Test the aim at 0.01 level of significance 9. What are the null and alternative hypothesis 10. What type of test is appropriate for this situation 11. Which of the following are the critical value at z= 005 A. 0.6053 B. 0.6503 C. -0.6053 D. -0.6503 12. What is the value of the test statistic
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- 39, 1. Null and hypothese 2. Identify the F test statistic from the ANOVA table. 3. P-value If the P-value is less than or equal to the significance level, reject the null hypothesis. If the P-value is greater than the significance level, fail to reject the null hypothesis. Matter below first image :- At least one of the three population means is different from the others.which of these comparison between an ANOVA and t test is correct? A. a t test provides more flexibilty in research studies than an ANOVA B. An ANOVA examines wheater mean differences exists between conditions wheres t test does not C. An ANOVA can be used to compare three or more conditions wheres a t test cannot D. A t test can be used to compare two conditions wheres an ANOVA cannot.Are freshmen psychology majors less likely to change their major before they graduate compared to freshmen business majors? 454 of the 687 freshmen psychology majors from a recent study changed their major before they graduated and 439 of the 619 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.05 level of significance? The test statistic z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
- The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65-74 years: n-118, x- 12.2, and s-6.96, Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use a -0.05.) State the appropriate null and alternative hypotheses, ⒸHR=15 OH₂ = 15 H₂p=15 H₂ <15 ⒸH-15 H₁ s 15 Calculate the test statistic and determine the P-valde (Round your test statistic to two decimal places and your P-value to four decimalAssume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 304 positive signs, 278 negative signs, and 35 ties when the value of the secon variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the null and alternative hypotheses? O A. Ho: 1₁2 112 H₁:1₁ <1₂ OC. Ho: 11₁ 112 H₁: 1₁ <12 O B. Ho: 11 #11₂ H₁:1₁ =1₂ O D. Ho: 111 112 H₁:1₁ #1₂ Find the test statistic. Test statistic = Find the P-value. P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? (Round to two decimal places as needed.) O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O B. Since the P-value is greater than the significance…A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision.
- P2. To defend a governmental institution against corruption, its chief officer claims that less than 0.5% of the its 5000 employees accept bribes. An independent human rights team interviewed 200 people from the company and found only 3 people to have accepted bribes. Test the claim of the institution chief officer. Use significance level of 5% and then 1%. Find the P-Value for the test. Assuming that the true mean for the corrupted employees is 10% larger than that obtained by the independent team, and using their own results, determine the number of the employees to be interviewed to detect the true mean, use an allowed error in the test of 5%.The following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).5. The Instagram handle @getfollowers claims that they can increase the number of followers someone has on Instagram. In March 2015 the mean number of followers for a US teen was 150, so a random sample of 12 US teens with 150 followers was taken. The following is the number of followers, which is normally distributed, these US teens had after they paid @getfollowers for their help. Using a 0.01 level of significance, determine whether @getfollowers is effective at increasing the number of Instagram followers. 160 200 152 150 145 151 162 158 156 149 154 170 Null and Alternative Hypothesis
- A private and a public university are located in the same city. For the private university, 1042 alumni were surveyed and 655 said that they attended at least one class reunion. For the public university, 804 out of 1317 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.Regulations from the Environmental Protection Agency say that soil used in play areas should not have lead levels that exceed a 400 parts per million (ppm). Before beginning construction at a new site, an agent will take a sample of soil and run a significance test on the mean lead level in the soil. If the mean lead level in the sample is significantly higher than 400 ppm, then the soil is deemed unsafe and construction cannot continue. Here are the hypotheses for this test: Ho : µ 400 ppm (soil is unsafe) (where u is the mean lead level in the soil at the new site). Which of the following would be a Type I error in this setting? Choose 1 answer: The soil is actually safe, and the sample result is below 400 ppm. so construction continues. The soil is actually safe, and the sample result is significantly higher than 400 ppm. so construction stops. The soil is actually unsafe, and the sample result is below 400 ppm, so construction continues. The soil is actually unsafe, and the sample…7. In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars in her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her home town and finds that = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population. Perform critical-value (classical) test. Be sure to identify the null and alternate hypotheses and interpret your results. a) Hypotheses: b) Test statistic: c) Critical-value: d) Hypothesis test conclusion and interpretation: