The following hypotheses are given. H0 : π ≤ 0.83 H1 : π > 0.83 A sample of 100 observations revealed that p = 0.93. At the 0.10 significance level, can the null hypothesis be rejected? a. State the decision rule. (Round your answer to 2 decimal places.) b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

The following hypotheses are given. H0 : π ≤ 0.83 H1 : π > 0.83 A sample of 100 observations revealed that p = 0.93. At the 0.10 significance level, can the null hypothesis be rejected? a. State the decision rule. (Round your answer to 2 decimal places.) b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A supplier claims that the true mean electrical resistance of wiring harnesses of a certain model is 30 ohms. A manufacturer that uses this harness wants to test whether this claim is true. Which of the following is the correct pair of hypotheses to use for this hypothesis test? Pick the right answer below by quoting the numbered point. 1. H0:μ=30 and H1:μ≠30 2. H0:μ⩾30 and H1:μ<30 3. H0:μ⩽30 and H1:μ>30 4. H0:μ≠30 and H1:μ=30 5. H0:μ<30 and H1:μ⩾30 6. H0:μ>30 and H1:μ⩽30
State the null and alternative hypotheses to be used in testing the following claims also explain type of test.(a) At most, 20% of next year’s wheat crop will be exported to the Soviet Union.(b) On the average, American homemakers drink 3 cups of coffee per day.(c) The proportion of college graduates in Virginia this year who majored in the social sciences is at least 0.15.(d) The average donation to the American Lung Association is no more than $10.(e) Residents in suburban Richmond commute, on the average, 15 kilometers to their place of employment
A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition. The hypotheses used were: H0: µ = 30 Ha: µ > 30 A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained. Which of the following is correct? a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089. b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089. c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from…
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.
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…
(a) Find the P - value for the test statistic z=1.36 for the following null and alternative hypotheses:
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
Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value. Use ? = 0.05. (a) x = 103 and s = 11.5 Find the p-value. (Round your answer to four decimal places.) p-value = (b)x = 95.5 and s = 11.0 Find the p-value. (Round your answer to four decimal places.) p-value = (c) x = 101 and s = 10.5
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 = 111, x = 12.4, and s = 6.69. 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 sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject the null…
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…
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 .05.
The p-value for a test of the hypotheses and is calculated to be 0.007. Which of the following most closely identifies the meaning of this outcome? The true population proportion is probably 30%. The true population proportion is probably greater than 30%. The sample proportion was probably greater than 30% The true population proportion is probably less than 30%.