Question

In: Statistics and Probability

For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis...

For each test below, follow the following steps.

(1) state the hypotheses,
(2) formulate an analysis plan
(3) analyze sample data

(4) interpret the results
You may use the TI-83 to calculate the test statistic and p-value, but be sure you indicate which test you are using.

Test II – Test a New Drug

Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers.

At the end of the study, 38% of the women caught a cold; and 51% of the men caught a cold. Based on these findings,

can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance.

Solutions

Expert Solution

The output is

From the output, test statistic Z = -2.1276

P-value = 0.033

Since p-value is less than level of significance 0.05, we reject null hypthesis and conclude that

Drug is not equally effective for men and women

orchestra answered 1 year ago
Next > < Previous

Related Solutions

For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis...
For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis plan (3) analyze sample data (4) interpret the results You may use the TI-83 to calculate the test statistic and p-value, but be sure you indicate which test you are using. Test III – Test a New Drug (Part 2) Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is more effective for women...
For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis...
For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis plan (3) analyze sample data (4) interpret the results You may use the TI-83 to calculate the test statistic and p-value, but be sure you indicate which test you are using. Test III – Test a New Drug (Part 2) Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is more effective for women...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical values(s). Compute the test value. Make the decision. Summarize the results. The reasons that workers in the 25-54 year old category were displaced are listed below. Plant closed/moved 44.8% Insufficient work 25.2% Position eliminated 30.0% A random sample of 180 displaced workers (in this age category) found that 40 lost their jobs due to their position being eliminated, 53 due to insufficient work, and...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical values(s). Compute the test value. Make the decision. Summarize the results. The number of grams of fat per serving for three different kinds of pizza from several manufacturers is listed below. At the 0.01 level of significance, is there sufficient evidence that a difference exists in mean fat content? Cheese Pepperoni Supreme/Deluxe 18 20 16 11 17 27 19 15 17 20 18 17...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical...
For each problem, follow these steps. State the hypotheses and identify the claim. Find the critical values(s). Compute the test value. Make the decision. Summarize the results. The average January high temperatures (in degrees Fahrenheit) for selected tourist cities on different continents are listed below. Is there sufficient evidence to conclude a difference in mean temperatures for the three areas? Use the 0.05 level of significance. Europe Central and South America Asia 41 87 89 38 75 35 36 66...
For each of the dependent means t-tests below: 1) State the null and alternative hypotheses 2)...
For each of the dependent means t-tests below: 1) State the null and alternative hypotheses 2) Set the criteria for a decision (i.e. state alpha, one- or two-tailed test, degrees of freedom and the cutoff score(s) 3) Compute: The mean of the difference scores, the sum of squares, the estimated population variance of difference scores, the variance of the distribution of means of difference scores and the standard deviation of the distribution of means of difference scores (show all work)...
Do the seven steps for each word problem Step 1: Establish null and alternate hypotheses State...
Do the seven steps for each word problem Step 1: Establish null and alternate hypotheses State the null and alternative hypothesis (as a sentence and formula). Step 2: Calculate the degrees of freedom Step 3: Calculate t critical using critical t – table Step 4: Calculate the Sum of Square deviation (SSD) Step 5: Calculate t obtained Step 6: Specify the critical value and the obtained value on a t-distribution curve Step 7: Decision and Conclusion Write a clear and...
Conduct a hypothesis test. Perform each of the following steps: a) state the hypothesis and identify...
Conduct a hypothesis test. Perform each of the following steps: a) state the hypothesis and identify the claim b) Find the critical value(s) c) Compute the test value d) make the decision e) Summarize the results It has been found that the average time users spend online per week is 18.3 hours. A random sample of 48 teenagers indicated that their mean amount of Internet time per week was 19.5 hours with a population standard deviation of 5.7. At the...
1: Conduct the following hypothesis test. Specify the null and alternative hypotheses, and clearly state the...
1: Conduct the following hypothesis test. Specify the null and alternative hypotheses, and clearly state the conclusion of the test. Use the data from 6.3.3 (?̅ = 31.7, ? = 8.7, ? = 5). Is there enough evidence to conclude that the mean thymus weight is greater than 25mg? Set ? = 0.05 2: Suppose we used a two-tailed alternative for the previous test instead (thymus weight is not equal to 25mg). How would the p-value of the test change?...
For each of the following: a) state the null and alternative hypotheses                               &n
For each of the following: a) state the null and alternative hypotheses                                                     b) state the type I & type II errors                                                     c) state the consequences of each error                                                     d) is one more serious? Explain. 1) You have created a new manufacturing method for producing widgets which you claim will reduce the time necessary for assembling the parts. Currently it takes 75 seconds to produce a widget. The retooling of the plant for this change is very expensive...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT