Please answer question 2 For all of the hypothesis tests, present the 6 steps fo
ID: 3160679 • Letter: P
Question
Please answer question 2
For all of the hypothesis tests, present the 6 steps for conducting tests given in class: Define the null (Ho) and alternative (Ha) hypothesis Set the significance level (a) Collect Data - (show summary statistics) Calculate Test-Statistic and find Rejection Region Make a Decision (Fail to Reject Ho or Reject Ho) Write the Conclusion in sentence form Also, note that you'll have to decide for each of these problems, whether to use a z or a t critical value. The same rules apply as they did for confidence intervals and a short guide is below. Remember, for the t critical value, the degrees of freedom is n-1. Normal, sigma known, any n Use Z Normal, sigma unknown, n ge 40 Use Z Normal, sigma unknown, nExplanation / Answer
Hypothesis:
Null (Ho) == proportion of voters that will vote for candidate A is > 50% means p > 0.5
Given sample size n = 520 and population size (N) = 1000
Therefore p = 520/1000 = 0.52 and q = 1- p = 1-0.52 = 0.48
Standard Error (SE)p = pq/n = 0.52 X 0.48/1000 = 0.016
At 99% the table value is 2.58
= 0.52 + 2.58 X 0.016 and 0.52 – 2.58 X 0.016
= 0.5613 and 0.4787
t’ = 0.52 -0.5 / SE (0.016)
t (calculated) = 1.25
t (table at = 0.01) = 2.326
Therefore since t(cal = 1.25) is < than t(table = 2.326)
We will accept the null hypothesis.
Means the true proportion of voters that will vote for candidate A is more than 50%.