1 Let n, = 40, X₁ = 10, n₂ = 40, and X₂ = 30. Complete parts (a) and (b) below.a. At the 0.05 level of significance, is there evidence of a significant difference between the twopopulation proportions?Determine the null and alternative hypotheses. Choose the correct answer below.A. Ho: ₁ = ₂OB. Ho: ₁₂H₂: q #₂H₁: ₁ <₂₂ọc Hoi đây đH₁: ₁ = ₂OD. Ho: ₁₂H₁: ₁ ₂Calculate the test statistic, ZSTAT, based on the difference P₁-P2-The test statistic, ZSTAT, is .Type an integer or a decimal. Round to two decimal places as needed.)

Given: Favorable Cases 1 (X_1)(X1) = 1010 Sample Size 1 (n_1)(n1) = 4040 Sample Proportion…

Answered: Let n, = 40, X, = 10, n, = 40, and X, =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let n1=40, X1=10, n2=40, and X2=20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≥π2 H1: π1<π2 C. H0: π1≠π2 H1: π1=π2 D. H0: π1=π2 H1: π1≠π2 Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is ? (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. The p-value is ? (Type an integer or a decimal. Round to three decimal places as needed.) b. Construct a 95% confidence interval estimate of the difference between the two population proportions. ?≤π1−π2≤? (Type integers or decimals. Round to four decimal places as needed.)
For each of the following sets of hypotheses, sample sizes, and test statistic values, calculate the appropriate p-v (It may help to draw a picture for each case.) H0: π = 0.6 Ha: π ≠ 0.6, sample size n = 150, test statistic z = 0.83. H0: µ = 23 Ha: µ ≠ 23, sample size n = 20, test statistic t = 2.17.
A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?
In a sample of 49 men, 38 said that they had less leisure time today than they had 10 years ago. In a sample of 49 women, 30 women said that they had less leisure time today than they had 10 years ago. At α=0.01, is there a difference in the proportions?Use p1 for the proportion of men with less leisure time. State the hypotheses and identify the claim with the correct hypothesis. H0 : p1=p2 ▼not claim H1 : p1≠p2 ▼claim This hypothesis test is a ▼two-tailed test. Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):_______________
In doing a hypothesis test of the population proportion at α=0.02 level of significance, we got the p-value to be 0.006. What would our conclusion to the test be? Why? A. Do NOT Reject H0 since the p-value > α B. Reject H1 since the p-value < α C. Reject H0 since the p-value < α D. Do NOT Reject H0 since the p-value < α
The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. State the null and alternate hypotheses. a) H0: p = 11.1; H1: p > 11.1 b) H0: p = 11.1; H1: p < 11.1 c) H0: μ = 11.1; H1: μ > 11.1 d) H0: μ = 11.1; H1: μ ≠ 11.1 e) H0: p = 11.1; H1: p ≠ 11.1 f) H0: μ = 11.1; H1: μ < 11.1 (b) What sampling distribution will you use? What assumptions are you making? a) The standard normal, since we assume that x has a normal distribution with known σ. b) The Student's t, since we assume that x has a normal distribution with unknown σ. c) The Student's t, since we assume that x has a normal distribution with known σ.…
In a test of H0: p = .43 versus Ha: p ≠ .43, a sample of size 1500 leads to a p-value of 0.087. Which of the following must be true if a = 0.05? A. The Ho should be rejected at the 5% level B. The Ho should fail to be rejected at the 5% level C. The Ho should be accepted at the 5% level
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…
An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive process, so it will be undertaken only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers. Let p denote the actual proportion of defective installations for the robots. It is known that the proportion of defective installations for human assemblers is 0.02. (a) Which of the following pairs of hypotheses should the manufacturer test? H0: p = 0.02 versus Ha: p < 0.02 or H0: p = 0.02 versus Ha: p > 0.02 Explain your answer. H0: p = 0.02 versus Ha: p < 0.02, as the conversion will only happen if the proportion of defective installations is higher for robots.H0: p = 0.02 versus Ha: p < 0.02, as the conversion will only happen if the proportion of defective installations is lower for robots. H0: p = 0.02 versus Ha: p > 0.02, as the conversion will only happen if the…
(a) Find the P - value for the test statistic z=1.36 for the following null and alternative hypotheses:
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 116, x = 12.5, and s = 6.35. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? ≠ 15H0: ? = 15Ha: ? > 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? < 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject…
In the tt-test of significance for the hypotheses H0:μ=11 and Ha:μ<11, the value of the test statistic was found to be t = 1.205 using a sample of size 18. Estimate the upper bound for the P-value associated with this test. That is, fill in the blank P <P< _____. Please show work!

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