"Well over 70% of last year's graduates have jobs in their field of study." If the "Missouri Rule" is applied to the related hypothesis test, the null and alternative hypotheses will be: A. H,: TT2 0.70, H1: TT <0.70. В. Н.: п <0.70, H;: п20.70. C. H.: TT = 0.70, H1: TT # 0.70. D. H,: пS0.70, H:п>0.70.
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- Research Question: Is there a difference between the average height of male and female basketball players in the club? 28 male and 25 female basketball players from the club were randomly selected. Use the following image to answer the questions below. Carry out an appropriate hypothesis test to answer the above Research Question. Q1) The null and alternative hypotheses are : Choose one from below -H0: μ = 0, H1: μ ≠ 0 -H0: μ = 170, H1: μ ≠ 170 -H0: μm- μf = 167.489, H1: μm- μf ≠ 167.489 -H0: μm- μf = 0, H1: μm- μf ≠ 0 H0: μm- μf = 170.27, H1: μm- μf ≠ 170.27 Q2) What is the assumption you need to make ? Choose one from below -The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population -None of these -Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution -The boxplots…According to the Centers of Disease Control, about 21% of American young people between the ages of 12 and 19 are obese. A student claims that the students his local schools are in better'shape than the national average, so'their proportion of obese students is less than 21%. Which are the appropriate null and alternative hypotheses for this study? О о: р - 21%, Н: р < 21% O Ho: p = 21%, H: p 21% O Họ: p = 0, HA: P 0 Оно: р - 21%, Нр» 21%A local police chief claims that 46% of all robbery-related arrests are never prosecuted. A sample of 500 arrests shows that 43% of the arrests were not prosecuted. Using this information, one officer wants to test the claim that the number of arrests that are never prosecuted is below what the chief stated. Is there enough evidence at the 0.05 level to support the officer's claim? A)State the null and alternative hypotheses. B) Find the value of the test statistic. Round your answer to two decimal places. C)Specify if the test is one-tailed or two-tailed. D)Determine the P-value of the test statistic. Round your answer to four decimal places. E)Identify the value of the level of significance. F)Make the decision to reject or fail to reject the null hypothesis. G)State the conclusion of the hypothesis test.
- 3) The national Cesarean delivery rate for a recent year was 32.2% (number of live births performed by Cesarean section). A random sample of 100 birth records from three large hospitals showed the following results for type of birth. Test for homogenity of proportions at a = 0.10. Cesarean NonCesarean Hospital A Hospital B Hospital C 44 22 42 56 78 58 i). Write the null and alternative hypotheses. ii). Write the matrix of expected values. ii). Give the value of x² and the p-value using a calculator. iii). State a conclusion.A random sample of 204 business faculty members was asked if there should be a required foreign language course for business majors. Of these sample members, 145 felt there was a need for a foreign language course. Test the hypothesis that at least 75% of all business faculty members hold this view. Use a = 0.01. What are the null and alternative hypotheses for this test? A. Ho: P 0.75 В. Но: Р%3D0.75 H;: P+0.75 C. Ho: P20.75 H,: P Za Po(1-Po) /n 0 p-Po p-Po Reject H, if > Za/2 JPo (1 -Po) /n - Za/2 or reject H, if Po (1-Po) /n Determine the value(s) for - za, Za, or ±za/2 as appropriate for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.)According to a University Center for Logistics Management, 3% of all merchandise sold in the United States gets returned. A Seattle department store sampled 86 items sold in January and found that 5 of the items were returned. If you have the following null and alternative hypotheses for a test you are running: Ho:p = 0.03 Ha:p + 0.03 Но: р Calculate the test statistic, rounded to 3 decimal places. = Z
- A sample of 1100 computer chips revealed that 25% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that 28% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.10 level to dispute the company's claim? State the null and alternative hypotheses for the above scenario. Answer Ho Ha Tables Keypad Keyboard ShortcutsOnly 11% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 390 randomly selected registered voters surveyed, 55 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?VSelect an answer (please enter a decimal) H1: ?v Select an answer (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... ) the null hypothesis. O The data suggest the populaton proportion is significantly higher than 11% at a = 0.01, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be higher…Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 459 of the 687 Republicans surveyed display the flag on the Fourth of July and 396 of the 642 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer > Select an answer Select an answer < Select an answer (Please enter a decimal) b. The test statistic ? O (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? O a
- 2. Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math. www.csun.edu/counts/new_first_time_freshman.php a. You want to see if the percentage is different for this fall's entering freshmen. Your hypotheses are Ho: На: where p stands for the percentage of freshmen who were proficient in Fall 2019 / this fall. b. Suppose that the null hypothesis is true that the percentage is 45% for this fall. Here is the sampling distribution of the values of p that would be expected if you repeatedly took random samples of 150 freshman entering this fall and found the proportion proficient in math. From the sketch alone, estimate the mean and the SE 0.33 0.37 0.41 0.45 0.49 0.53 0.57 If the null hypothesis is true, would it be unusual to get 50% in your sample who were proficient in mathematics? Explain: If the null hypothesis is true, would it be unusual to get 45 freshmen in your sample who were proficient in mathematics? Explain: c. You take a random sample of 150…A researcher is investigating US resident’s natural disaster preparedness. The researcher wants to test if less than 40% of US residents have a “natural disaster emergency plan”. To test this, the researcher selected a sample of 1000 US residents. Each sample member was asked if they have a “natural disaster emergency plan”. Of the 1000 samples, 371 responded that they did have a “natural disaster emergency plan”. Conduct the appropriate Hypothesis Test using ∝=.05. The steps of the hypothesis test are provided below: Step 1: State the null and alternative hypotheses one would use to test if less than 40% of US residents have a “natural disaster emergency plan”. Step 2: What distribution/model should be use to conduct this hypothesis test?(If using statistical features on your calculator then what test will you use?) Step 3: State rejection rule. Step 4: Provide the p-value. (From you calculator output or explain how you determined it) Step 5: Using ∝=.05, draw a conclusion.…A recent Food and Drug Administration (FDA) report states that 65% of all domestically produced food products are pesticide free. Suppose an FDA spokesperson believes that less than 65% of all foreign produced food products are pesticide free. Specify the null and alternative hypotheses that would be used to test the spokesperson’s belief