For a right tail test. Determine the critical value of the test statistics at 5% level of significance ?
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For a right tail test. Determine the critical value of the test statistics at 5% level of significance ?
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- What is a confidence interval in statistics?Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusionThe p-value for a t-statistic was .008. What is the best way to report the level of significance? p<.008 p<.05 p<.01 p<.001
- Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Some researchers presented characteristics of phyllodes tumors in an article. The following table provides summary statistics for the sizes, in millimeters (mm) of independent samples of benign and malignant phyllodes tumors. Suppose that these tumor sizes are normally distributed. Use the nonpooled t-test to answer the following: At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, malignant phyllodes tumors are larger than benign phyllodes tumors? a. Hypotheses: H0: ___________________ Ha: __________________________ b. Compute the test statistic: c. Determine the p-value. d. Reject null? e. Step 6: Interpret your result in a sentencea. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.K Do freshmen spend significantly more time on social media than other class ranks? A recent study investigated the amount of time per day freshmen, sophomores, juniors, and seniors spent on social media while doing schoolwork. The students surveyed were U.S. residents from a 4-year, public, primarily residential institution. The accompanying computer output shows the mean time each cohort spent on social media and an ANOVA table. Construct a 95% confidence interval to compare the population mean time spent per day on social media between freshmen and seniors. Click the icon to view the summary statistics and ANOVA table. The 95% confidence interval is. (Round to one decimal place as needed.) View an ex NOV 9 Summary Statistics and ANOVA Table 6 n tv Mean Std. Dev. Source DF Class Error Total F6 FR 443 62.5 71.6 SS 99509 3 1562 7927979 1565 8027488 Print SO 330 56.5 68.5 MS 33170 5076 JU 383 72.0 80.9 Done 8 F 6.53 FB SE 410 50.4 62.9 P 0.000 ZA 9 F9 X k answer
- You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.52. You use a significance level of a = 0.05. Ho:p = 0.52 H1:p> 0.52 You obtain a sample of size n = 556 in which there are 308 successes. 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) a greater than a 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 proportion of men over 50 who regularly have their prostate examined is more than 0.52. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more…Salma claimed that the gas price in Blue Park neighborhood (mean of $3.65) is higher than that in Green Spring (mean of $3.59). She obtained the t-value of 2.223 after calculating data from 6 gas stations in Blue Park and 5 gas stations in Green Spring. Use the chart below and determine if Salma's claim is supported! Table 10-3. Critical values of "t" significance level p= 0.05 significance level p= 0.01 TP 1 12.706 63.657 2 4.303 9.925 3 3.182 5.841 2.776 4.604 5 2.571 4.032 6 2.447 3.707 7 2.365 3.499 2.306 3.355 9 2.262 3.250 10 2.228 3.169 11 2.201 3.106 Copy the following into your text box, fill in the blanks, and answer the questions A. The degree of freedom is: B. The t-calculated value is: and the t-critical value is : C. Comparison: t-calc t-crit (answer with ()) D. Is the null hypothesis accepted or rejected? Explain how you determined that! Also, explain what it means to reject or accept the hypothesis! E. Explain if Salma's claim is supported based on your t-value…Using the t-table, find the critical value for a left-tailed test with a significance level of 10% and a sample size of 25.
- A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.81. Thus you are performing a right-tailed test. Your sample data produce the test statistic z=2.845. Find the p-value accurate to 4 decimal places. p-value =