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The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 450 viewers. After viewing the shows, 200 indicated they would watch the new show and suggested it replace the crime investigation show.
a. Estimate the value of the population proportion. (Round your answers to 3 decimal places.)
b. Develop a 99% confidence interval for the population proportion. (Use z Distribution Table.) (Round your answers to 3 decimal places.)Hi I have 17 econ stats practice problems I need help with
1. The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 450 viewers. After viewing the shows, 200 indicated they would watch the new show and suggested it replace the crime investigation show.

a. Estimate the value of the population proportion. (Round your answers to 3 decimal places.)
Develop a 99% confidence interval for the population proportion. (Use z Distribution Table
2. The estimate of the population proportion should be within plus or minus 0.06, with a 95% level of confidence. The best estimate of the population proportion is 0.17. How large a sample is required? (Use z Distribution Table
3. In a poll to estimate presidential popularity, each person in a random sample of 1,510 voters was asked to agree with one of the following statements:

1. The president is doing a good job.
2. The president is doing a poor job.
3. I have no opinion.

A total of 575 respondents selected the first statement, indicating they thought the president was doing a good job.

a. Construct a 98% confidence interval for the proportion of respondents who feel the president is doing a good job. (Round your answers to 3 decimal places.)

b. Based on your interval in part (a), is it reasonable to conclude that a majority of the population believes the president is doing a good job? Yes or No

4. Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the estimate to be within 0.05 of the true proportion. Assume a 99% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 45% of people supported health care revisions. (Use z Distribution Table.)

How large of a sample is required? (Round up your answer to the next
b. How large of a sample would be necessary if no estimate were available for the proportion supporting current policy? (Round up your answer to the next whole number.)
5. HighTech, Inc. randomly tests its employees about company policies. Last year in the 470 random tests conducted, 28 employees failed the test.

a. Develop a 95% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.)

b. Would it be reasonable to conclude that 8% of the employees cannot pass the company policy test? Yes or No
6. Pharmaceutical companies promote their prescription drugs using television advertising. In a survey of 112 randomly sampled television viewers, 14 indicated that they asked their physician about using a prescription drug they saw advertised on TV.

a. Develop a 95% confidence interval for the proportion of viewers who discussed a drug seen on TV with their physician. (Round your answers to 3 decimal places.)
b. Is it reasonable to conclude that 28% of the viewers discuss an advertised drug with their physician? Yes or No
7. A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level.
b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

Compute the value of the test statistic. (Round your answer to 2 decimal
d. What is your decision regarding H0?
8. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.29 cups per day and 1.44 cups per day for those drinking decaffeinated coffee. A random sample of 55 regular-coffee drinkers showed a mean of 4.41 cups per day. A sample of 47 decaffeinated-coffee drinkers showed a mean of 5.16 cups per day.

Use the 0.03 significance level.

a. Is this a one-tailed or a two-tailed test?
State the decision rule. (Negative amount should be indicated by a
Compute the value of the test statistic. (Negative amount should be
d. What is the p-value?
e. What is your decision regarding H0?
9. The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 435 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 330 vines sprayed with Action were checked. The results are:
At the 0.10 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint: For the calculations, assume the Pernod 5 as the first sample.

1. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)
Compute the pooled proportion. (Do not round the
Compute the value of the test statistic. (Negative amount
d. What is your decision regarding the null hypothesis?
10. A study was conducted to determine if there was a difference in the humor content in British and American trade magazine advertisements. In an
independent random sample of 270 American trade magazine advertisements, 56 were humorous. An independent random sample of 203 British trade magazines contained 52 humorous ads. Do these data provide evidence at the 0.05 significance level that there is a difference in the proportion of humorous ads in British versus American trade magazines?

State the null and alternate hypotheses.
Make the decision rule. (Negative amounts should be indicated by a minus
Evaluate the test statistic. (Negative amount should be indicated by a minus
11. A sample of 44 observations is selected from one population with a population standard deviation of 3.9. The sample mean is 102.0. A sample of 46 observations is selected from a second population with a population standard deviation of 5.6. The sample mean is 100.3. Conduct the following test of hypothesis using the 0.10 significance level.

H0 : μ1 = μ2
H1 : μ1 ≠ μ2
a. Is this a one-tailed or a two-tailed test?
State the decision rule. (Negative values should be indicated by a minus
Compute the value of the test statistic. (Round your answer to 2 decimal
d. What is your decision regarding H0?
12. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.33 cups per day and 1.45 cups per day for those drinking decaffeinated coffee. A random sample of 53 regular-coffee drinkers showed a mean of 4.45 cups per day. A sample of 44 decaffeinated-coffee drinkers showed a mean of 4.95 cups per day.

Use the 0.03 significance level.

a. Is this a one-tailed or a two-tailed test?
State the decision rule. (Negative amount should be indicated by a
Compute the value of the test statistic. (Negative amount should be

d. What is the p-value?
e. What is your decision regarding H0?
13. It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?
14. The following hypotheses are given.
A sample of 140 observations revealed that p = 0.88. At the 0.01 significance level, can the null hypothesis be rejected?

a. State the decision rule. (Round your answer to 2 decimal places.)
Compute the value of the test statistic. (Round your answer to 2 decimal
c. What is your decision regarding the null hypothesis?
15. Chicken Delight claims that 88% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 90 orders revealed that 74 were delivered within the promised time. At the 0.01 significance level, can we conclude that less than 88% of the orders are delivered in less than 10 minutes?

What is the decision rule? (Negative amount should be indicated by a
Compute the value of the test statistic. (Negative amount should be
16. After a losing season, there is a great uproar to fire the head football coach. In a random sample of 280 college alumni, 112 favor keeping the coach. Test at the .05 level of significance whether the proportion of alumni who support the coach is less than 50 percent.

(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)
(b)
State the decision rule for .05 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

(d) Test at the .05 level of significance whether the proportion of alumni who support the coach is less than 50 percent.
17. Past experience at the Crowder Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for them wanted to go to Europe. During the most recent season, a sampling of 1,000 persons was selected at random from the files. It was found that 480 persons wanted to go to Europe on vacation. Has there been a significant shift upward in the percentage of persons who want to go to Europe? Test at the 0.05 significance level.

a. State the null and alternate hypotheses.

a. Make the decision rule. (Round your answer to 2 decimal places.)
b. Evaluate the test statistic. (Round your answer to 2 decimal places.)
c. What is the decision regarding the null hypothesis?