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- Utilizing the previous table: A sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. Was the null hypothesis rejected or accepted?Conduct the appropriate hypothesis test and compute the p-value. Sunshine Air has determined that their no-show rate for passengers booked on a flight is 6%. The Airline has recently increased the cost of its travel insurance and and suspects the no-show rate for passengers will decrease. A random sample of 380 reservations resulted in 18 no-shows. At the 0.10 significance level, is there strong enough sample evidence to suggest that the no-show rate in less than 6%?"In your response indicate whether CPAs in states that have flat state income tax rates work fewer hours per week during tax season compared to the US average. You will want to formally set up H0 and Ha, report either the test statistic (z-value) or p-value, and explain why you either reject or fail to reject your null hypothesis."
- The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.a) The null and alternative hypothesis would be: H0:μE=μWH1:μE>μW H0:pE=pWH1:pE<pW H0:μE=μWH1:μE≠μW H0:μE=μWH1:μE<μW H0:pE=pWH1:pE>pW H0:pE=pWH1:pE≠pW b) Determine the test statistic. Round to two decimals.t=c) Find the p-value and round to 4 decimals.p =Is there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…If n = 63 for a two-tailed hypothesis test in which a t-test should be utilized, which df value should be referenced when using the abridged t distribution table in the textbook in order to set the critical t values for the hypothesis test?
- The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��≠�� �0:��=���1:��<�� �0:��=���1:��≠�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. There is not sufficient evidence…In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, αA group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. What range of values is the p-value in?b. There is evidence to reject H0 with the level of significance adopted?
- A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus > 0?b. The test statistic value calculated based on the data is:c. The critical (absolute) value of the test for the desired significance level is:If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…