You are performing 7 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.) at least three successes P(X ≥ 3) =
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- Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 6 subjects lost an average of 50 lbs. It is found that there is about a 39% chance of getting such results with a diet that has no effect . Does the weight loss program have statistical significance? A- No, the program is not statistically significant because the results are unlikely to occur by chance B- Yes, the program is statistically significant because the results are unlikely to occur by chance . C- No, the program is not statistically significant because the results are likely to occur by chance. D- Yes, the program is statistically significant because the results are likely to occur by chance .Measurements of the elderly are given by playing a block building game to see how tall they can build a tower. One block-building experiment repeated one month later, gave us the times (seconds) of five pairs of participants' completion times. Test the claim that there is a difference between the two experiments. A. At 1%, use the Classical approach & conclude it. B. Use the P-value approach & conclude it. 1st Experiment (A) 35 28 29 26 29 2nd Experiment (B)33 27 27 27 23 . Computing for the estimate of standard error =8 P-value approach: Using the t-distribution, we find the p-value is equal to 0.3899 for the two-tailed test. 0.3899> significant level a/2=0.005, so, one must fail to reject. Additionally, there's not enough evidence to conclude a significant difference in the times between the two experiments.
- Suppose the present success rate in the treatment of a particular psychiatric disorder for the relevant population is known to be .73 (73%). A research group hopes to demonstrate that the success rate of a new treatment will be better than this standard. Use the letter p to represent the success rate of the new treatment. Write null and alternative hypotheses for p. Ho: p|? v H2: p? v aSuppose the Humane Society claims that 30% of U.S. households own cats. You believe your community is different than the U.S. percentage. To test the claim, you take a simple random sample of 300 households and find that 33% own cats. Test at 5% significance. Round to the fourth Ho: P HA: P How many successes were there? 111 X Test Statistic: 2.646 X P-value: 0.995 X Did something significant happen? Nothing Significant Happened Select the Decision Rule: Fail to Reject the Null or There is not o enough evidence to conclude that the proportion of households that own cats in your community is different than the national proportion. V ‡ 0.30 0.30✔ OIn the prior presidential election, the average voter turnout in Miami was 57%. You think this will change in the next presidential election. Which is the null hypothesis? H0: turnout = 57% H0: turnout ≠ 57%
- Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?A company that has a 10% market share (they sell their product to 10% of all potential buyers) launches a marketing campaign. At the end of the campaign period, the company conducts a survey in order to assess whether its market share has increased. The result of the survey issued to 500 customers was 12.5%.h0= p=0.10, h1= p>0.10test statistic= 1.86P value= 0.0314 a. State your conclusion using ΅ = 0.05.b. What would be the potential Type I and Type II errors in this problem? Explain these possible errors in context.Find the p-value for a two-tailed test, where z= -1.68
- #10A researcher wants to study the proportion of people on trial for first degree murder who are found guilty. From a random sample of 60 people on trial for first degree murder, 45 people were found guilty. The picture below is the question. The above text is the used with the picture.Last year the average math SAT score for students at one school was 775. the Headmaster introduced new methods hoping to improve scores. this year , the math mean SAT score for a sample of students was 1178. If the teaching had no effect, there would be roughly a 3 in 100 chance of seeing such an increase. Does the result have STATISTICAL significance? does the result have PRACTICAL significance? exlain your answer
