Please explain & show all work. 1. True or False. Justify for full credit (e) It
ID: 3309946 • Letter: P
Question
Please explain & show all work.
1. True or False. Justify for full credit (e) It's easier to reject the null hypothesis in a hypothesis test at 0.05 significance level than at 0.01 significance level. K5. A basket contains 3 white balls, 2 yellow balls, and 5 red balls. Consider selecting one ball at a time from the basket. (Show all work. Just the answer, without supporting work, will receive no credit.) (a) Assuming the ball selection is with replacement. What is the probability that the first ball is red (b) As and the second ball is also red? suming the ball selection is without replacement. What is the probability that the first ball is red and the second ball is also red?Explanation / Answer
1)false
Significance of .05 means a 95% confidence interval, which means you are 95% certain it will fall in that interval. A .01 significance is 99% confidence interval, and it is a wider interval than a 95%. The higher the confidence, the more room for error there is.
Yes, sometimes it will be rejected at both a .01 and a .05 significance level, but not always.
2)
A)Total balls = 5+3+2 =10
Probability of first ball red = 5/10
Probability of second ball red= 5/10 ( as replacement)
Probability of first and second both balls to be red= 5/10 * 5/10 =0.25
Probability of 1st and 2nd both balls to be red (with replacement) is 0.25
B) Probability of first ball red= 5/10
Probability of second ball red = 4/9
Total probability = 5/10 * 4/9 = 2/9 =0.22
Probability of 1st is red second is red without any replacement is 0.22