In a hypothesis test with hypotheses Ho :p < 0.58 and H1 :p > 0.58, a random sample of size 1143 produced a sample proportion of 0.5985. The test is to be made at the 2.5% significance level. Should you reject or fail to reject the null hypothesis in this test? fail to reject reject
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- If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.2047 and ZSTAT=+0.82, what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision?For a one-tailed test (upper tail) with a sample size of 900, the null hypothesis will be rejected at the .05 level of significance if the test statistic is _____. Select one: A. less than -1.96 B. less than 1.645 C. less than or equal to -1.645 D. greater than or equal to 1.645In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the company’s employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for inference met, a hypothesis test conducted at the significance level α=0.05α=0.05 resulted in a pp-value of 0.381. Which of the following is an appropriate conclusion? The director has convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes. A The director has convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes. B The director has convincing statistical evidence to conclude that the population mean commute time is 31.4 minutes. C The director does not have convincing…
- In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the company’s employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for inference met, a hypothesis test conducted at the significance level α=0.05α=0.05 resulted in a pp-value of 0.381. Which of the following is an appropriate conclusion? The director has convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes. The director has convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes. The director has convincing statistical evidence to conclude that the population mean commute time is 31.4 minutes. The director does not have convincing statistical evidence to…#2.9 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2026 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis.Test the claim using a hypothesis test. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. Identify the test statistic. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2736 occupants not wearing seat belts, 3131 were killed. Among 7686 occupants wearing seat belts, 18 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: p 1p1greater than or equals≥p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 B. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 C. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1greater than>p 2p2 D. Upper H 0H0: p 1p1not equals≠p 2p2 Upper H 1H1: p 1p1equals=p 2p2 E. Upper H 0H0: p…
- A random sample of 865 births included 429 boys. Use a 0.01 significance level to test the claim that 51.3% of newborn babies are boys. Do the results support the belief that 51.3% of newborn babies are boys? Identify the P-value for this hypothesis test. The P-value for this hypothesis test isA manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a claim about the percentage of nondefective CD players and is prepared to exaggerate. What is the highest rate of nondefective CD players that the manufacturer could claim under the following condition? His claim would not be rejected at the 0.05 significance level if this sample data were used. Assume that a left-tailed hypothesis test would be performed.It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results.
- A national publishing house claims that 45% of all weekly magazine readers in South 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 readers said that they read the relevant publication. Remember to use the five steps in the hypothesis testing procedure for the answerA simple random sample of front-seat occupants involved in car crashes is obtained. Among 2741 occupants not wearing seat belts, 29 were killed. Among 7694 occupants wearing seat belts, 11 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1>p2 B. H0: p1=p2 H1: p1≠p2 C. H0: p1≥p2 H1: p1≠p2 D. H0: p1≤p2 H1: p1≠p2 E. H0: p1≠p2 H1: p1=p2 F. H0: p1=p2 H1: p1<p2 Identify the test statistic. z=enter your response here (Round to two decimal places as needed.) Identify the P-value. P-value=enter…The library board of directors believes that at most half of alllibrary customers borrow ebooks, and are not willing to increase funds for ebookborrowing. A random sample of 150 customers shows that 80 of them borrowedebooks. At a 5% level of significance, perform the hypothesis test.