Question 1

Out of a sample of 327 Americans, 245 said they had no interest in professional soccer. (Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.

Which of the following statements is valid?

Group of answer choices

We are 95% certain that the true percentage of all Americans who have no interest in professional soccer is between 70% and 80%.

The probability that that between 70% and 80% of all Americans have no interest in professional soccer is 95%.

Approximately 70% to 80% of all Americans have no interest in professional soccer.

Approximately 95% of all Americans have no interest in professional soccer 70% to 80% of the time.

Question 21

Out of a sample of 327 Americans, 245 said they had no interest in professional soccer. (Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.

Based on the 95% confidence interval of 70% to 80%, what is the margin of error for the estimate?

Group of answer choices

5 percentage points

10 percentage points

75 percentage points

95 percentage points

Question 3

Out of a sample of 327 Americans, 245 said they had no interest in professional soccer. (Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.

Suppose that another sample of 784 Americans was taken and asked the same question. How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?

Group of answer choices

The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.

The width of the confidence interval based on the 784 women would be wider than the confidence interval based on the 327 women.

The width of the confidence interval based on the 784 women would be the same as the confidence interval based on the 327 women.

No answer text provided.

Question 4

A gambler believes that he has found a coin that is biased in favor of heads, in other words, when the coin is tossed will land heads side up more than half the time. To test his hypothesis he tosses the coin 100 times and observes 56 heads. He uses these results to conduct a hypothesis test getting aP-value of 0.115. He intends to use a 0.05 level of significance.

What is the alternative hypothesis for testing that the coin is biased in favor of heads?

Group of answer choices

Ha: p>0.5

Ha: p=0.5

Ha: p<0.5

No answer text provided.

Question 5

A gambler believes that he has found a coin that is biased in favor of heads, in other words, when the coin is tossed will land heads side up more than half the time. To test his hypothesis he tosses the coin 100 times and observes 56 heads. He uses these results to conduct a hypothesis test getting aP-value of 0.115. He intends to use a 0.05 level of significance.

TheP-value of 0.115 is more than the significance level of 0.05. What can we conclude?

Group of answer choices

Not enough evidence to conclude the coin is biased in favor of heads.

The coin is a fair coin.

Not enough evidence to conclude the coin is fair.

The coin is biased in favor of heads.

Question 6

A gambler believes that he has found a coin that is biased in favor of heads, in other words, when the coin is tossed will land heads side up more than half the time. To test his hypothesis he tosses the coin 100 times and observes 56 heads. He uses these results to conduct a hypothesis test getting aP-value of 0.115. He intends to use a 0.05 level of significance.

Which statement best describes a Type I error in this situation.

Group of answer choices

Concluding the coin is biased in favor of heads when it really is not.

Concluding the coin is biased in favor of heads when it really is.

Concluding the coin is not biased in favor of heads when it really is.

Concluding the coin is not biased in favor of heads when it really is not.

Question 7

A gambler believes that he has found a coin that is biased in favor of heads, in other words, when the coin is tossed will land heads side up more than half the time. To test his hypothesis he tosses the coin 100 times and observes 56 heads. He uses these results to conduct a hypothesis test getting aP-value of 0.115. He intends to use a 0.05 level of significance.

Which statement best describes a Type II error in this situation.

Group of answer choices

Concluding the coin is not biased in favor of heads when it really is.

Concluding the coin is biased in favor of heads when it really is.

Concluding the coin is biased in favor of heads when it really is not.

Concluding the coin is not biased in favor of heads when it really is not.

Question 8

A gambler believes that he has found a coin that is biased in favor of heads, in other words, when the coin is tossed will land heads side up more than half the time. To test his hypothesis he tosses the coin 100 times and observes 56 heads. He uses these results to conduct a hypothesis test getting aP-value of 0.115. He intends to use a 0.05 level of significance.

Saying the results are not statistically significant is another way of saying

Group of answer choices

The P-value is more than the significance level.

There is enough evidence to conclude that the alternative hypothesis is true.

The results do not lead to an important decision.

The null hypothesis is true.

Question 9

Out of a sample of 568 Americans, 492 of them over estimated the percentage of Blacks in the U.S. population. (Data simulated from Nadeau, Niemi, & Levine, 1993.) Find a 90% confidence interval for the proportion of Americans who over estimate the percentage of the Blacks in the U.S. population.

x= [ Select ] ["492", "568"]

n= [ Select ] ["568", "492"]

[ Select ] ["0.866", "1.154", ".900"]

[ Select ] ["0.014", "0.016", "0.012"]

[ Select ] ["1.645", "1.96", "2.575"]

E= [ Select ] ["0.023", "0.0274", "0.036"]

Confidence Interval

( [ Select ] ["0.843", "0.83", "0.839"] , [ Select ] ["0.889", "0.902", "0.893"] )

Question 10

In the former Soviet Union, 25% of all bachelor degrees in physics went to women. A sample of 97 U.S. recipients of bachelor degrees in physics showed that 15 were women. Do these data provide sufficient evidence at the 0.05 level of significance to conclude that the proportion of women receiving bachelor degrees in physics in the U.S. is less than in the former Soviet Union?

x= [ Select ] ["15", "97", "", ""]

n= [ Select ] ["97", "15"]

[ Select ] ["0.154", "0.25", "0.05", "6.467"]

Step 1

[ Select ] ["=", ">", "<"] 0.25

[ Select ] ["<", "=", ">"] 0.25

Step 2

[ Select ] ["0.044", "0.112", "0.036"]

Test Statistic: Z= [ Select ] ["-2.18", "-2.67", "-0.86"]

Step 3

p-value= [ Select ] ["0.015", "0.005", ".467"]

Step 4

The proportion of women receiving bachelor degrees in physics in the U.S. is [ Select ] ["less than", "more than", "different from"] in the former Soviet Union.