The test statistic of z=−1.84 is obtained when testing the claim that p<0.25. a. Using a significance level of α=0.01​, find the critical​ value(s). b. Should we reject H0 or should we fail to reject H0​?

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 mean exam score for 44. male high school students are 19.9 and the population standard deviation is 5.2. The mean exam score for 55female high school students is 19.4 and the population standard deviation is 4.9. At α=0.01​, can you reject the claim that male and female high school students have equal exam​ scores? Complete parts​ (a) through​ (e).   ​(a) Identify the claim and state H0 and Ha.   What is the​ claim?   A. Male high school students have lower exam scores than female students.   B. Male and female high school students have different exam scores.   C. Male and female high school students have equal exam scores.   D. Male high school students have greater exam scores than female students.   What are H0 and Ha​?   Find the critical​ value(s) and identify the rejection​ region(s). The critical​ value(s) is/are   Find the standardized test statistic z for μ1−μ2.

The test statistic of z=2.29 is obtained when testing the claim that p≠0.418.   a. Find the​ P-value.   Using a significance level of α=0.10​, should we reject H0 or should we fail to reject H0​?     a. P-value=____​(Round to three decimal places as​ needed.)