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Identify the null hypothesis Ho...

Identify the null hypothesis Ho and the alternative hypothesis H1. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 1 in every one thousand. (Points : 7)

Ho: p = 0.001, H1: p 0.001

Ho: p > 0.001, H1: p = 0.001

Ho: p 82,600

b. Ho: μ = 82,600, H1: μ 82,600, H1: μ = 82,600

d. Ho: μ < 82,600, H1: μ = 82,600 (Points : 7)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

Question 3. 3. Assume that the data has a normal distribution. Also assume that the standard deviation of the population, sigma, is known. Find the critical value(s) used to test a null hypothesis: level of significance = 0.02 for a two-tailed test. (Points : 6)

2.575

2.33

1.645

1.764

Question 4. 4. Assume that the data has a normal distribution. Also assume that the standard deviation of the population, sigma, is known. Find the critical value(s) used to test a null hypothesis: level of significance = 0.02 for a left-tailed test. (Points : 6)

-1.96

1.96

2.05

-2.05

Question 5. 5. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. Be sure to address the original claim. (Points : 7)

There is sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand.

There is sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand.

There is not sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand.

There is not sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand.

Question 6. 6. A psychologist claims that more than 32 percent of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. (Points : 7)

There is not sufficient evidence to support the claim that the true proportion is less than 32 percent.

There is sufficient evidence to support the claim that the true proportion is greater than 32 percent.

There is not sufficient evidence to support the claim that the true proportion is greater than 32 percent.

There is sufficient evidence to support the claim that the true proportion is less than 32 percent.

Question 7. 7. Suppose you wish to test the claim that μ < 62.2. Given a sample of n = 106 and a significance level of = 0.01, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic < -2.33.

Reject Ho if test statistic < -2.575.

Reject Ho if test statistic -2.33.

Question 8. 8. Suppose you wish to test the claim that μ > 10. Given a sample of n = 50 and a significance level of = 0.10, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic > 1.645 or 1.645.

Reject Ho if test statistic > 1.28.

Reject Ho if test statistic 1.645 or < -1.645.

Reject Ho if test statistic 1.645.

Reject Ho if test statistic > 1.28 or 28,107. A 194-item sample has a mean . = 28,678.2. Compute the value of the test statistic (Points : 7)

2353.95

0.12

23.68

Ho: p = 0.001, H1: p 0.001

Ho: p > 0.001, H1: p = 0.001

Ho: p 82,600

b. Ho: μ = 82,600, H1: μ 82,600, H1: μ = 82,600

d. Ho: μ < 82,600, H1: μ = 82,600 (Points : 7)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

Question 3. 3. Assume that the data has a normal distribution. Also assume that the standard deviation of the population, sigma, is known. Find the critical value(s) used to test a null hypothesis: level of significance = 0.02 for a two-tailed test. (Points : 6)

2.575

2.33

1.645

1.764

Question 4. 4. Assume that the data has a normal distribution. Also assume that the standard deviation of the population, sigma, is known. Find the critical value(s) used to test a null hypothesis: level of significance = 0.02 for a left-tailed test. (Points : 6)

-1.96

1.96

2.05

-2.05

Question 5. 5. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. Be sure to address the original claim. (Points : 7)

There is sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand.

There is sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand.

There is not sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand.

There is not sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand.

Question 6. 6. A psychologist claims that more than 32 percent of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. (Points : 7)

There is not sufficient evidence to support the claim that the true proportion is less than 32 percent.

There is sufficient evidence to support the claim that the true proportion is greater than 32 percent.

There is not sufficient evidence to support the claim that the true proportion is greater than 32 percent.

There is sufficient evidence to support the claim that the true proportion is less than 32 percent.

Question 7. 7. Suppose you wish to test the claim that μ < 62.2. Given a sample of n = 106 and a significance level of = 0.01, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic < -2.33.

Reject Ho if test statistic < -2.575.

Reject Ho if test statistic -2.33.

Question 8. 8. Suppose you wish to test the claim that μ > 10. Given a sample of n = 50 and a significance level of = 0.10, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic > 1.645 or 1.645.

Reject Ho if test statistic > 1.28.

Reject Ho if test statistic 1.645 or < -1.645.

Reject Ho if test statistic 1.645.

Reject Ho if test statistic > 1.28 or 28,107. A 194-item sample has a mean . = 28,678.2. Compute the value of the test statistic (Points : 7)

2353.95

0.12

23.68

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