What do the results of this hypothesis test run in stata mean? test esteem80 = athlets ( 1) esteem80 - athlets = 0 F( 1, 6594) = 6.35 Prob > F = 0.0117
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- A survey about allergic reactions revealed that 84 out of randomly selected 158 people exhibit allergic symptoms. The percentage of the whole country is believed to be 25% for such allergic symptoms. Find the test statistic for hypothesis testing at right tail. (Sensitivity 0.00)A researcher has observed 500 vehicles at a stop in a suburban neighborhood and recorded the type of vehicle (sedan, hatchback, bakkie) and driver behavior ar the stop sign (complete stop, near stop, "ran" tha stop sign). At the 0.05 level of significance, could there be some relationship between driver behavior and the type of vehicle being driven? Define the null hypothesis and the alternative hypothesis.A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use α = .05 and the five-step model to conduct your hypothesis test. Write a sentence or two interpreting your results. Working Class: 10,9,4,2,1 Middle Class: 11,10,5,2,0 Upper Class: 7,5,2,0,0
- A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national exercise rate is 20%. The researcher gathers a random sample of 120 individuals who live in California and finds that the number who exercise regularly is 31 out of 120. Please use the chi-square test to design a complete hypothesis testing process and get appropriate conclusions. (You need to indicate the value of X2obt and df and X2cv)A researcher selected a sample of 268 former student athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. Is the difference statistically significant? Use α=.01. Be sure to use the five-step model in conducting the hypothesis test.Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6019patients treated with this drug, 154 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction? The test statistic for this hypothesis test is? The P-value for this hypothesis test is?
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- A new cream that advertises 52% of women over the age of 50 will experience skin improvement from using their product. A study was conducted in which a sample of 170 women over the age of 50 used the new cream for 6 months. Of those 170 women, 76 of them reported skin improvement (as judged by a dermatologist). Is this evidence that the cream will improve the skin of less than 52 % of women over the age of 50? Perform a hypothesis test using the 0.05 level of significance. a. Set up a null and alternate hypothesis. b. Check the conditions needed to use a sampling distribution (Normal) c. Calculate the standard deviation for the sample proportion d. Calculate the test statistic. Show the formula you are using. e. Calculate the p value. f. Explain what this p value means in the context of this problem using complete sentences. g. Determine if you should reject or accept the null hypothesis and why.A new cream that advertises 52% of women over the age of 50 will experience skin improvement from using their product. A study was conducted in which a sample of 170 women over the age of 50 used the new cream for 6 months. Of those 170 women, 76 of them reported skin improvement (as judged by a dermatologist). Is this evidence that the cream will improve the skin of less than 52 % of women over the age of 50? Perform a hypothesis test using the 0.05 level of significance. a. Calculate the test statistic. Show the formula you are using. b. Calculate the p value c. Explain what this p value means in the context of this problem using complete sentences d. Determine if you should reject or accept the null hypothesis and why.Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A recent Gallup Poll of 2500 people showed 1723 in favor of stricter gun control laws . Assume the poll was given to a random sample of people. QUESTION Test the claim that the proportion of those favoring stricter gun control has changed from 0.55. Perform a hypothesis test, using a significance level of 0.01. What kind of test will you need to perform? A right, one-tailed z-test A left, one-tailed z-test A two-tailed z- test