You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:p=0.56Ho:p=0.56       Ha:p>0.56Ha:p>0.56

You wish to test the following at a significance level of α=0.05α=0.05.      H0:p=0.64H0:p=0.64      H1:p<0.64H1:p<0.64You obtain a sample of size n=454n=454 in which there are 281 successful observations.For this test, we use the normal distribution as an approximation for the binomial distribution.For this sample... The test statistic (zz) for the data =  (Please show your answer to three decimal places.) The p-value for the sample =  (Please show your answer to four decimal places.) The p-value is... greater than αα less than (or equal to) αα (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)Base on this, we should .... accept the null hypothesis fail to reject the null hypothesis reject the null hypothesis As such, the final conclusion is that... The sample data suggest that the population proportion is not significantly less than 0.64 at the significant level of αα = 0.05 The sample data suggest that the population…

Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1x¯1 = 4.5, s1 = .20, n1 = 15, x⎯⎯2x¯2 = 4.9, s2 = .30, n2 = 15, α = .025, left-tailed test.(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)        d.f. Not attempted t-calculated Not attempted p-value Not attempted t-critical Not attempted    (a-2) Based on the above data choose the correct decision.   Do not reject the null hypothesis Reject the null hypothesis

Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27   n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.   Step 1 of 3 :   Find the point estimate that should be used in constructing the confidence interval.