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- At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 36% of students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 45 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 36%.a) Determine 99% confidence limits for beta(symbol couldn't write) (the slope of the regression line) and alpha (the intercept of the regression line). b) 34. Determine 99% prediction limits for Y when X = 41.7 and 95% prediction limits for Y when X = 61.5. c) draw a scatter plot.A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. She will only accept the shipment if there is convincing evidence that this proportion is less than 0.06. She selects a sample of 200 apples near the tailgate from the over %3D 20,000 apples on the truck to test the hypotheses Ho: p = 0.06, Ha: p < 0.06. Which of the following conditions for inference have not been met in this situation? The data are a random sample from the population of interest. np 2 10 and n(1 - p) 210 More than one condition is violated. The sample size is less than 10% of the population size. The population distribution is approximately Normal.
- Previously, 3% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 3% today. She randomly selects 150 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.05 level of significance. What are the null and alternative hypotheses? = 0.03 versus H,: p Ho: P (Type integers or decimals. Do not round.) 0.03 Because npo (1- Po) = || V 10, the normal model (Round to one decimal place as needed.) V be used to approximate the P-value.A random sample of 100 freshman showed 6 had satisfed the university mathematics requirement and a second random sample of 50 sophomores showed that 13 had satisfied the university mathematics requirement. Enter answers below rounded to three decimal places. (a) The relative risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen is (b) The increased risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen isYou wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:p1=p2Ho:p1=p2 Ha:p1<p2Ha:p1<p2You obtain 47 successes in a sample of size n1=208n1=208 from the first population. You obtain 182 successes in a sample of size n2=532n2=532 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the…
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p1−p2=0Ho:p1-p2=0 Ha:p1−p2>0Ha:p1-p2>0You obtain 199 successes in a sample of size 376 from the first population. You obtain 330 successes in a sample of size 744 from the second population.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value =10. The t test for two independent samples - One-tailed example using tables Aa Aa Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. [Data source: This data was obtained from National Center for Health Statistics.] Suppose a social psychologist sets out to look at the role of economic hardship in relationship longevity. She decides to measure marital satisfaction in a group of couples living above the poverty level and a group of couples living below the poverty level. She chooses the Marital Satisfaction Inventory, because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. There is one score per couple.…When using an independent samples t-test, the author of a journal article reported that t(30) = 3.60, p < .05. Should the researcher reject the null or fail to reject the null?
- (1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test. Include the following: IV: DV: Null Hypothesis: Alternative Hypothesis:A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claimA two-sample study for the difference between two population means will utilize t-test procedures and is to be done at the 0.05 level of significance. The sample sizes are 23 and 27. The variances are 18 and 36, respectively. What is the upper critical value t, for the rejection region if:(a) the alternative hypothesis is one-sided, and you assume that the population variances are vunequal?(b) the alternative hypothesis is two-sided , and you assume that the population variances are unequal?(c) the alternative hypothesis is one-sided and you assume that the population variances are equal?(d) the alternative hypothesis is two-sided, and you assume that the population variances are equal?