In a hypothesis test, you conclude the result is statistically significant, and we could reject the null hypothesis if p_value ≤ αα p_value > α
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In a hypothesis test, you conclude the result is statistically significant, and we could reject the null hypothesis if
- p_value ≤ αα
- p_value > α
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- You are conducting a hypothesis test where the null hypothesis is that mu is less than or equal to 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if, rather than mu<= 850, your null hypothesis was that mu >= 850?An article in the newspaper claims that 60% of registered drivers have the organ donor designation on their driver's license. A researcher at a hospital decides to investigate this claim. The researcher selects a random sample of 50 registered drivers and finds that 44.0% have the organ donor designation on their driver's license. Do the data provide convincing evidence at the ?α = 0.05 level that fewer than 60% of registered drivers have the organ donor designation on their license?Are blonde female college students less likely to have boyfriends than brunette female college students? 446 of the 639 blondes surveyed had boyfriends and 512 of the 720 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.10 level of significance? The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the proportion of the 639 blonde college students who have a boyfriend is less than the proportion of the 720 brunette college students who have a boyfriend. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the…
- A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: Although the proportion follows a binomial model with two independent outcomes and the data are selected at random, the number of successes and the number of failures are not both greater than or equal to 5. Although the proportion follows a binomial model with two independent outcomes and the number of successes and the number of failures are both greater than or equal to 5, the…Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80, n1 = 100, x2 = 40, n2 = 80. What is the observed test statistic for this test?In random samples, 74 of 250 persons who watched a certain television program on a small TV set and 92 of 250 persons who watched the same program on a large set remembered 2 hours later what products were advertised. Use the x² statistic to test the null hypothesis 01 = 02 against the alternative hypothesis 01 02 at the 0.01 level of significance. 2
- A random sample of n 1 equals 125individuals results in x 1 equals 40 successes. An independent sample of n 2 equals 160 individuals results in x 2 equals 60 successes. Does this represent sufficient evidence to conclude that p 1 less than p 2p at the α=0.01level of significance? Determine the null and alternative hypotheses.A hypothesis was tested twice using a two - tailed z- test. The first test was done with a 5% significance level while the second test using a 10% significance level. If the test stastic for both tests is - 1.75, which of the following is true? A At 5% and 10% alpha level, the null hypothesis is accepted B The null hypothesis is rejected at 5% and accepted at 10% C The null hypothesis rejected for both tests At 5% the null hypothesis is accepted and rejected at 10%For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) Name the hypothesis test you would use. For example, some tests we have learned are: one sample t-test of the population mean one sample z-test of the population proportion independent two-sample pooled t-test for the difference between population means independent two-sample unpooled z-test for the difference between population means Paired t-test for 2 dependent samples independent two-sample z-test for the difference between population proportions a) Suppose from large studies we know that the mean cholesterol in children aged 2-14 is…
- You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 43 out of 85 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%. The data suggest the populaton proportion is significantly smaller than 58% at αα = 0.01, so there is…Only about 18% of all people can wiggle their ears. Is this percent different for millionaires? Of the 374 millionaires surveyed, 45 could wiggle their ears. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 18%. The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is…Suppose I conduct a study and, after analyzing the data, I end up sticking with the null hypothesis. Also suppose that, in truth, the research hypothesis is correct. In that case I've made what kind of error? O Type I (alpha) O Type Il (beta) O Type II (eta) A false alarm Both Type I and Type II