Which one of the following would be a possible p-value for the hypotheses: Ho : μ = 0 versus H1 : μ ≠ 0 ?

Which of the following is the best decision and conclusion based on the result below? H.: p = 0.10 Ha:p + 0.10 Critical Value: +1.645 Computed Test Statistics: z = 5.61 O a. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O b. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10evel of significance, there is enough evidence that the population proportion is different from 10%. O c. Since the computed test statistics is greater than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O d. Since the computed test statistics is less than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there…

The data for a random sample of six paired observations are shown in the table. a. Calculatex and s b. Express μ in terms of μ, and μ₂- c. Form a 90% confidence interval for Hd. d. Test the null hypothesis Ho: H = 0 against the alternative hypothesis H₂: #0. Use α=0.10. a. Calculate the difference between each pair of observations by subtracting observation from observation 1. Find X- (Round to two decimal places as needed.) (-) Pair 1 2 5 6 Population 1 Sample (Observation 1) 5 12 11 6 3 3 Population 2 Sample (Observation 2) 3 Q

The question is in the attached picture

2. Each of the following is a confidence interval for µ = true average (i.e., population mean) resonance frequency (Hz) for all tennis rackets of a certain type: (114.4, 115.6) (114.1, 115.9) a. What is the value of the sample mean resonance frequency? b. Both intervals were calculated from the same sample data. The confidence level for one of these intervals is 90% and for the other is 99%. Which of the intervals has the 90% confidence level, and why?

A 95% confidence Interval for u is computed to be (1.80. 3.30). For each of the following hypotheses, state whether H, will be rejected at 0.05 level.

Consider the following hypothesis test: H0: mu=15 Ha: mu not = to 15   A sample of 40 provided a sample mean of 14.18 . The population standard deviation is 5 . Enter negative value as negative number. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. Using a=.05, can it be concluded that the population mean is not equal to 15 ?- Select your answer -YesNoItem 3 Answer the next three questions using the critical value approach. d. Using a=.05 , what are the critical values for the test statistic? (+ or -) (to 2 decimals) State the rejection rule: RejectH0 if z is - Select your answer -greater than or equal to greater than  less than or equal to less than equal to not equal to  the lower critical value and is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to  the upper critical value. Can…

6.2.3 Find the critical value t, for the confidence level c=0.80 and sample size n= 12. tents Click the icon to view the t-distribution table. Resources t.=(Round to the nearest thousandth as needed.)

A 90% confidence interval for the mean u of a population is computed from a random sample and is found to be 9±3. Which of the following could be the 95% confidence interval based on the same data. Without knowing the sample size, any of the above answers 9 + 1.96 9 + 3 9 + 2 9 + 4 could be the 95% confidence interval.

Which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1 less than <muμ less than<​5.6? Choose the correct answer below.     A. It means that​ 99% of all data values are between 4.1 and 5.6.   B. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of muμ.   C. There is a​ 99% chance that muμ will fall between 4.1 and 5.6.   D. It means that​ 99% of sample means fall between 4.1 and 5.6.