In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, USE SALT (a) At least 37 can taste the difference between the two oils? (Round your answer to four decimal places.) 0.0973 X (b) At most 5% can taste the difference between the two oils? (Round your answer to four decimal places.) 0.9999

Annie is concerned over a report that "a woman over age 4040 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 4040-year-old university-educated American woman was 2.8%2.8%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 513513 never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 4545. Of these women, 2323 report now being married. Does this evidence support Annie’s claim, at the 0.050.05 level of significance, that the chances of getting married for this group is greater than 2.8%2.8%?   Step 3 of 3 :   Draw a conclusion and interpret the decision.

In a genetics experiment on​ peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was​ expected?

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, USE SALT (a) At least 45 can taste the difference between the two oils? (Round your answer to four decimal places.) (b) At most 5% can taste the difference between the two oils? (Round your answer to four decimal places.)

A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Number Children's Vitamins Green 906 I Yellow 1321 Porange Red 1306 Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho:P green = - Pyellow = _Pred = Ha: There is a difference from the stated proportions. Orange 778

A simple random sample of size 144 is selected from a population with p = 0.5.   4a. What is the expected value of p̅?

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long- run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, n USE SALT (a) At least 32 can taste the difference between the two oils? (Round your answer to four decimal places.) 0.3557 (b) At most 5% can taste the difference between the two oils? (Round your answer to four decimal places.) 0 0000

In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?