Critical value to test proportion of heads in die

Reference no: EM1321432

Q1) True or False? Let hypotheses: H₀: Defendant is innocent; H₁: Defendant is guilty. If court acquits every defendant, they'll never commit Type II error.

a) True

b) False

Q2) Coin was flipped 60 times and came up heads 36 times. Determine test statistic you would use to test whether proportion of heads is greater than 0.50 at 10% level of significance?

Q3) A coin was flipped 60 times and came up heads 36 times. Determine the critical value you would use to test whether proportion of heads is greater than 0.50 at 10% level of significance?

Q4) A coin was flipped 60 times and came up heads 36 times. Assume you test whether proportion of heads is greater than 0.50 at 10% level of significance. What is your conclusion?

a) Reject the null hypothesis

b) Fail to reject the null hypothesis

Q5) Assume average puppy weighs 10 pounds. Sample of 10 puppies yields sample mean of 13.2 pounds and sample standard deviation of 2.78 pounds. Assume the population standard deviation is known to be 5.25. You wish to test whether sample mean varies from population mean of 10 pounds at 5 percent level of significance using two-tailed test. What are your null and alternative hypotheses?

a) H0: μ ≥ 10, H1: μ < 10

b) H0: μ = 10, H1: μ ≠ 10

c) H0: μ = 13.2, H1: μ ≠ 13.2

d) H0: μ ≤ 10, H1: μ > 10

Reference no: EM1321432

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