For each of the following situations, calculate the p-value and determine if H0 is rejected at a 5% significance level with the test statistic, -1.75. All numbers should be reported to four decimal places.
a) Consider a hypothesis test concerning a population mean with σ known and n = 500.
(0.3 pts.) H0: μ = 693 Ha: μ <
693
p-value: ?
Will H0 be rejected in part a)?
b) Consider a hypothesis test concerning a population mean with σ unknown and n = 61.
(0.3 pts.) b) H0: μ = 288 Ha: μ ≠ 288
p-value: ?
Will H0 be rejected in part b)?
For each of the following situations, calculate the p-value and determine if H0 is rejected at...
For each of the following situations, calculate the p-value and determine if H0 is rejected at a 5% significance level with the test statistic, -1.94. All numbers should be reported to four decimal places. a) Consider a hypothesis test concerning a population mean with σ known and n = 1300. As stated above the test statistic is -1.94. H0: μ = 656 Ha: μ < 656 i) What is the p-value? ii) Will H0 be rejected in part a)? iii)...
Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided. Hints: Draw a picture! Also, all provided information may not be relevant. Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df = n - 1. Round all answers to three decimal places a. H0: μ1 - μ2 = 0 HA: μ1 -...
Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df-n-1. Round all answers to three decimal places t-statistic 2.92 p-value df 64 t-statistic1.82 p-value df 10 t-statistic 2.15 p-value d. H0: μ 837 Ha: μ > 837 n 128 t-statistic 2.21 p-value e....
Question: Should H0 be rejected? Use the p-value and a level of significance of 0.05 to justify your answer. Use the above data to construct a 95% confidence interval for p1 - p2 Consider this hypothesis test: H0: p1 - p2 = 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of “yes” of Population 1 and p2 is the population proportion of “yes” of Population 2. Use the statistics data from a simple random sample...
Consider the following hypothesis test: H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.17. The population standard deviation is 4. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using α = .05, can it be concluded that the population mean is not equal to 15? Answer the next three questions using the critical value approach. d. Using α =...
7. For any hypothesis test: b) Write down the appropriate alternative hypotheses and give the formula for the each test statistic, if any, for the following null hypothesis testing population normally distributed population not normal population not normal population not normal population normal population normal population not normal () Ho: So n 80, s 29 (iii) Ho: μ-Ha n-15, σ-25 (iv) Ho: μ=Ha n= 15, s = 36 (v) Ho: μ>Ha n= 10, σ = 16 (vi) H0'μ Han-60, σ-81...
for each of the following situations find the critical value(s) for z or t? a) H0: p equals 0.7 vs. HA: p not equals 0.7 at alpha equals 0.01 b) H0: p equals. 0.3 vs. HA: p greater than 0.3 at alpha equals 0.01 c) H0: mu equals. 20 vs. HA: mu not equals 20 at alpha equals 0.01; n equals 30 d) H0: p equals. 0.7 vs. HA: p greater than 0.7 at alpha equals 0.10; n equals 350...
Consider using a z test to test H_0: p =
Consider using a z test to test H0: p = 0.1. Determine the p-value in each of the following situations. (Round your answers to four decimal places.) (a) Ha: p 0.1, z- 1.43 (b) Ha : p < 0.1, z =-2.74 (c) Ha: p # 0.1, z =-2.74 (d) Ha: p < 0.1, z-0.25
Consider using a z test to test H0: p = 0.1. Determine the p-value in each...
For a test of a mean, which of the following is correct? Top of Form H0 is rejected when the calculated p-value is less than the specified level of significance For a left-tailed test, the null hypothesis H0 will be rejected when the test statistic exceeds the critical value . The test statistic value is based on the chosen level of significance. If H0: μ= 5 and H1: μ ≠ 5, then the test can either be a right-tailed test...
Consider the following hypotheses: H0: μ = 9,100 HA: μ ≠ 9,100 The population is normally distributed with a population standard deviation of 700. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated...