Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 21%. Use a 0.05 significance level to test that claim.
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- In the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest vwhole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 АВ 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.when you have means from two different samples, it is best to conduct a what test?). You are interested in investigating if there a difference in mean cholesterol between the four diet groups. What kind of sample and outcome is this?
- Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00A recent study looked at the relationship between condom use and the spread of AIDS, by following heterosexual couples in which one partner was infected with HIV. The couples were classified by their condom use. Of the 98 couples who always used condoms, 4 partners became infected with HIV. Of the 67 couples who did not always use condoms, 11 partners became infected. Test whether the proportions of partners who became infected with HIV are different for each group, using a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work
- USA Today ran a report about a UNC poll of 1248 adults from the southern U.S. It was reported that 8% of those surveyed believe that Elvis Presley still lives. The article began with the claim that "almost 1 out of 10" Southerners still thinks Elvis is alive. At the 0.01 significance level, test the claim that the true percentage is 10%.A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.
- Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…During the Hundred Years’ War (1337-1453), the English and French fought each other. At the Battle of Cr ́ecy, a random sample of 73 knights contained 41 English knights. At the Battle of Agincourt, a random sample of 142 knights contained 56 English knights. Use these sample and a 0.05 significance level to test the claim that the proportion of knights fighting at each battle who were English were equal.A movie streaming company only holds on to a movie in its offerings if the movie has earned a 4.5 rating or above. Currently, there are seven movies being evaluated and the ratings for three of these seven are in the sample. We are interested in determining which ones will be kept in the company’s selection and which ones will be removed from the selection (testing at a 5% level of significance). Movie 1 Movie 2 Movie 3 4.6 5 4.6 4.9 4.5 4.8 4.6 5 4.9 4.1 5 4.6 5 3.8 4.3 5 3.6 4 5 2.6 4 3.5 1 4.9 4.1 5 4.6 5 3.2 4.9 5 5 4.7 5 5 3 3.2 5 4.6 3.9 3.8 4.6 5 2.6 4.6 4.3 3.4 4.9 4.1 4 4 5 1.4 4.6 4.2 2.7 4.9 5 3.4 4.5 4.9 3.9 4.5 5 5 4.6 5 3.3 4.6 2.9 4.6 5 5 3.4 4.4 4 1 3.7 3.9 4.5 4.9 4.7 3.7 4.5 4.7 4.6 4.5 3.8 3 4.9 4.4 4.8 4.6 4 3.7 4.9 5 3.1 3.7 5 5 4.7 4.5 2.4 3.4 4.7 4.7 3.7 4.4 5 4.8 4.5 5 4.6 2.8 5 4.3 5 4.2 4.6 2.3 5 4.5 5 4 4.6 4.9 2.5 4.6 3.2 1.9 4.6 4.8 5 5 3.7 3.9 3.4 5 5 4.9 4.9…