2. What is your null hypothesis? (in words)
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- The correlation between the two variables of interest is 0.81, which is significant at the 0.0337 level. This means ______. Group of answer choices 1.that the null hypothesis is rejected 2.the research hypothesis is rejected 3.that the null hypothesis is accepted 4.that the null hypothesis cannot be determinedSuppose that a researcher obtains a correlation of r equals 0.60 for a sample of n equals 10 participants. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with alpha equal .05 if the sample had n equals 25 participants is the correlation significant? Use a two tailed test with alpha .05. What can you say about sample size based on your findings?A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
- It is known that the slope coefficient for regression line Y on X is 0.942 The standard deviation of X and Y are 5 and 9 respectively. Find the value of the correlation coefficient for using given information.The level of a pollutant in the river next to a chemical factory is monitored at regular intervals. Over the course of years, the level of the pollutant was determined by chemical analysis. In recent years, the company has made some changes in the factory where increases in the pollutant level can be observed. The environmental protection organization (EPA) wants convincing evidence that the level of the pollutant has not increased. By creating the relevant null and alternative hypotheses, I. type and II. describe type errors.Allison finds that the Pearson correlation coefficient for the relationship between number of pets owned and a person's IQ is +0.21. There are 25 people in her sample. Assuming an alpha level of 0.05 and a two-tailed test, what should she conclude? a. Reject the null hypothesis. The critical value is larger than the calculated value. b. Fail to reject the null hypothesis. The critical value is larger than the calculated value. c. Fail to reject the null hypothesis. The value is larger than the calculated value. d. Reject the null hypothesis. The calculated value is larger than the critical value.
- The Pearson's correlation coefficient (r) between two variables, X and Y, is calculated to be 0.8. Using a two-tailed hypothesis test with a significance level of 0.05, what is the conclusion about the relationship between X and Y?The final grade for STAT2 students depends on multiple factors . However, one of the strongest predictors is the number of hours of study per week. The correlation between the two is moderate and positive, with r = 0.7. For one of the students the number of hours of study per week is 1 SD below average. We can predict that this student will obtain a final grade that is... Group of answer choices it is impossible to say without knowing the AVG and SD of both variables 0.7 SDs above average 0.7 SDs below average 1 SDs above average 1 SDs below averageA researcher wants to determine if there is a significant difference in the number of times a new treatment for a medical condition results in relief from symptoms compared to the standard treatment. They randomly assign 20 patients to receive the new treatment and 20 to receive the standard treatment, and record the number of times each patient experienced relief from symptoms in a given period of time. The researcher uses the Wilcoxon Signed-Ranks Test to analyze the data. What is the null hypothesis for this test?
- If the null hypothesis is true in a test of the Pearson’s correlation between X and Y, then __________. a. higher scores of X are paired with higher scores of Y b. none of mentioned here c. higher scores of X are paired with low and high scores of Y d. higher scores of X are paired with lower scores of Y e. lower scores of X are paired with higher scores of YA diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) (Image is table) a. Specify the null and alternative hypotheses that test the diet center’s claim. (Which is Correct) H0: μD = 4; HA: μD ≠ 4 H0: μD ≥ 4; HA: μD < 4 H0: μD ≤ 4; HA: μD > 4 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test Statistic = c. Find the p-value. p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥0.10 0.025≤ p-value < 0.05 0.01 ≤…A doctor recorded the number of miles walked each day by patients over age 60 and the number of doctor visits in a year for 40 patients. The resulting data were used to conduct a hypothesis test to determine whether there is a linear relationship between the number of miles walked and the number of doctor visits. What are the correct hypotheses for the test?
