Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.6 versus H₁: p > 0.6 n = 100; x = 70; α = 0.01 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo. 20 =0 Zo (Round to two decimal places as needed.)
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- a. Which of the two excel outputs above is the correct result of the data?b. What is the appropriate set of hypotheses for this test?c. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines?d. What is the t- critical value?e. What is the p-value?f. At α=0.05, what is the correct decision?The effectiveness of a new bug repellent is tested on 1616 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows: ?⎯⎯⎯=92x¯=92, ?=13 s=13 The new repellent is considered effective if it provides a percent repellency of at least 9090. Using ?=0.05α=0.05, construct a hypothesis test with null hypothesis ?≤90μ≤90 and alternative hypothesis ?>90μ>90 to determine whether the mean repellency of the new bug repellent is greater than 9090 by computing the following: (a) the degree of freedom (b) the test statistic The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that ?≤90μ≤90. Our results do not provide enough evidence that the new bug repellent is effective. B. We can reject the null hypothesis that ?≤90μ≤90. Our results indicate that…For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.
- Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups the same? Set alpha to 0.05 1.What are the appropriate null and alternative hypothesis? 2. What is the Test statistics? 3.What is the value of the test statistic? 4. For a significance level of 0.05, what is the critical value? 5.What is the appropriate decision and conclusion?Use the data below to test the claim that the weight loss was greater with the low fat diet compared to the low carbohydrate diet. Use a 10% level of significance. Low Fat Low Carbohydrate x¯1=3.7lbs 1=5.2lb n1=57 x¯1=2.7 lbs1=4.9lb n1=62 Identify the tail of the test. What is the P-value? Will the null hypothesis be rejected? Is the initial claim supported?A random sample of 430 observations produced a sample proportion equal to 0.39. Find the critical and observed values of z for the following test of hypotheses using α=0.025. H0: p=0.30 versus H1: p≠0.30. Round your answers to two decimal places.
- A random sample of 460 observations produced a sample proportion equal to 0.36. Find the critical and observed values of z for the following test of hypotheses using α=0.02. H0: p=0.30 versus H1: p>0.30. Round your answers to two decimal places. zcritical =Enter your answer; z_criticalA researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%A random sample of 480 observations produced a sample proportion equal to 0.33. Find the critical and observed values of z for the following test of hypotheses using α=0.01. H0: p=0.30 versus H1: p>0.30. Round your answers to two decimal places. zcritical= zobserved=
- Using the information provided in the SPSS output. You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesisuse technology to find the P value. P value =_. (round to three decimal places as needed.) should one reject the null hypothesis? or should one not reject the null hypothesis?As a bonus assignment a former student checked if your professor gave a statistically significant difference in grades between his male and female students. She based her study based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317) and her sample included nm = 485 male students and nf = 264 female students. The average grades received were ?̅ = 84.6 and ?̅ = 85.8. The population standard ?? deviation were σ m = 12.0 and σ f = 11.4. Test the hypothesis that the two groups received different grades using a 95% confidence level and using the critical value approach