The test statistic of z= -1.90 is obtained when testing the claim that p<0.26. a. Using a significance level of a=0.01

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.)

Use the given information to find the ​p-value. ​Also, use a 0.05 significance level and state the conclusion about the null hypothesis​ (reject the null hypothesis or fail to reject the null​ hypothesis).   With H1​: p≠​0.377, the test statistic is z=3.06.