Question

The following hypotheses are given.

H₀ : π ≤ 0.83
H₁ : π > 0.83

A sample of 100 observations revealed that p = 0.87. At the 0.10 significance level, can the null hypothesis be rejected?

1. State the decision rule. (Round your answer to 2 decimal places.)

2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

3. What is your decision regarding the null hypothesis?

• Do not reject H₀.

• Reject H₀.

question 2:

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $30,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the 0.05 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised?

28.7	31.8	30.3	28.7	29.5	29.5	28.8	29.0

Click here for the Excel Data File

1. State the null hypothesis and the alternate hypothesis. Use a 0.05 level of significance. (Enter your answers in thousands of dollars.)

2. State the decision rule for 0.05 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

3. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

4. What is the conclusion regarding the null hypothesis?

question 3:

Given the following hypotheses:

H₀: μ = 540

H₁: μ ≠ 540

A random sample of 10 observations is selected from a normal population. The sample mean was 550 and the sample standard deviation was 6. Using the 0.10 significance level:

1. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

2. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

3. What is your decision regarding the null hypothesis?

• Reject

• Do not reject

question 4:

A sample of 35 observations is selected from a normal population. The sample mean is 16, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.

H₀: μ ≤ 15

H₁: μ > 15

1. Is this a one- or two-tailed test?

• One-tailed test

• Two-tailed test

2. What is the decision rule?

• Reject H₀ when z > 1.645

• Reject H₀ when z ≤ 1.645

3. What is the value of the test statistic? (Round your answer to 2 decimal places.)

4. What is your decision regarding H₀?

• Fail to reject H₀

• Reject H₀

1. e-1. What is the p-value? (Round your answer to 4 decimal places.)

1. e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

Answer 1