Identify the error in the following hypotheses: Ho: P = 0.75 versus Ha: p > 0.75.
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- The average salary in this city is $48,800. Is the average less for single people? 57 randomly selected single people who were surveyed had an average salary of $44,815 and a standard deviation of $16,730. What can be concluded at the a = 0.05 level of significance?What is stated by the null hypothesis for the chi-square test for independence? a. There is no relationship between the two populations regarding the two variables. b. Both variables have the same frequency distribution. c. The two variables have different frequency distributions. d. There is a relationship between the two populations regarding the two variables.The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Ho:u = 10,000 steps versus Ha p # 10,000 steps where p = the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis? Ο μ-9,000 O p =9,500 O H = 10,000 Ο μ 10,500
- Suppose we have a case-control study that completes and yields a study OR = 4.5. If we were told the true OR in the population was actually 2.25 (we normally wouldn’t know this, but suppose hypothetically someone was able to know this and told us), this again means our study OR is biased. Is our study OR biased towards or away from the null? A)Away from the null. B)Towards the null.The commercial for the new Meat Man Barbecue claims that it takes 14 minutes for assembly. A consumer advocate thinks that the assembly time is lower than 14 minutes. The advocate surveyed 12 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 13.5 minutes. The standard deviation for this survey group was 2.1 minutes. What can be concluded at the the a = 0.01 level of significance level of significance? You may assume the data are normally distributed.The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal.H1: The frequencies are not equal. Category f0 A 10 B 10 C 20 D 10 a. State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 2 decimal place.) c. What is your decision regarding H0?
- . A producer of high quality teas wants to be sure they are filling tea bags with an average weight of 5.5 grams. Any underfilling or overfilling is undesirable. The correct set of hypotheses isThe data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -The average wait time to get seated at a popular restaurant in the city on a Friday night is 13 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 12, 13, 13, 15, 13, 11, 14, 13, 15, 11, 15 What can be concluded at the the a = 0.01 level of significance level of significance?
- The average American consumes 85 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 82.1 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the a = 0.10 level of significance? You may assume the data are normally distributed.A test of the null hypothesis Ho: p = .25 gives a test statistic z = 1.6. What is the p-value if the alternative is Ha: p > .25? What is the p-value if the alternative is Ha: p < .25? What is the p-value if the alternative is Ha: p .25?Only about 14% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 400 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer V (please enter a decimal) H1: ? v Select an answer V (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 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 population proportion is not significantly lower than 14% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 14%. O The data suggest the populaton proportion is significantly lower…