Assume Mayor A had 52% of the votes in 2016. The estimated proportion of the votes for Mayor A in current election is 57% using a sample of 400 registered voters. Answer the following questions. Calculate the test statistics and fill in its value below (3 decimal points). Calculate the critical value and fill in its value in question 2 (3 decimal points). Is there enough evidence to suggest that the Mayor A has stronger support in current election at 2% significance level (question 3).

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =