A). Consider the Null hypothesis: H0:p0.51Givenp= 0.37, n = 50 and =0.01

Choose the correct option when testing the hypothesis above.

Group of answer choices

a) The hypothesis testing is not rejected with a z = -1.98 and p-value = 0.0239

b) The hypothesis testing is rejected with a z = -2.43 and p-value = 0.0075

C) the hypothesis testing is rejected with a z = -1.98 and p-value = 0.0023

D) The hypothesis testing is rejected with a z = -2.07 and p-value = 0.0192

B) Consider the following hypothesis statement using = 0.01 and data from two independent samples:

H012=0vsHa120

x1=76.3, s1=18.4 and n1=16 and

x2=61.5,s2=18.7and n2=20

Choose the correct alternative for this hypothesis test.

Group of answer choices

a) We reject H0. The test statistic is 2.376, the critical value is 2.728, and the p-value is between 0.05 and 0.02.

b) We reject H0. The test statistic is 2.728, the critical value is 2.441, and the p-value is less than 0.01.

c) We failed to reject H0. The test statistic is -2.728, the critical value is -2.441, and the p-value is 0.098.

d) We failed to reject H0. The test statistic is 2.376, the critical value is 2.728, and the p-value is between 0.05 and 0.02.

C). We want to test H0: 12=0.5. The population 1 standard deviation (1) is 12.47. The population 2 standard deviation (2) is 6.66. The sample means are 48.19 and 35.21, respectively. Sample 1 size is 59, and Sample 2 size is 38.

Calculate the test statistic for this hypothesis.

Round your answer to two decimal places. Please include the zero before the decimal place and the minus sign if needed. E.g., -0.12