**Hypothesis Testing Problem:**In a survey, 35% of respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 180 pet owners and discovered that 61 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α = 0.05 level of significance.**Step-by-step Evaluation:**1. **Assumptions:** - Check if \( n p_0 (1 - p_0) \) \( \underline{\quad} \) \( (1) \) \( \underline{\quad} \) 10, the sample size is \( (2) \) \( \underline{\quad} \) 5% of the population size, and the sample \( (3) \) \( \underline{\quad} \) the requirements for testing the hypothesis \( (4) \) \( \underline{\quad} \) satisfied. - **Options:** - (1): <, >, #, = - (2): less than, greater than - (3): cannot be reasonably assumed to be random, is given to be random, can be reasonably assumed to be random, is given to not be random - (4): are not, are2. **Hypotheses:** - \( H_0 \): \( (5) \) \( \underline{\quad} \) \( (6) \) \( \underline{\quad} \) - \( H_1 \): \( p \quad \neq \quad \underline{\quad} \) - **Options:** - (5): p, σ, μ - (6): ≠, <, >, =3. **Calculate the Test Statistic, \( z_0 \):** - \( z_0 = \underline{\quad} \) (Round to two decimal places as needed.)4. **Calculate the P-value:** - P-value = \( \underline{\quad} \) (Round to three decimal places as needed.)5. **Conclusion:** - Does the veterinarian have a right to be skeptical? - **Options:** - A. The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion of pet owners who **Problem 6: Hypothesis Testing in Education**Twenty years ago, 46% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 236 of 850 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science.*Question*: Do parents feel differently today than they did twenty years ago? Use the α = 0.1 level of significance.### Steps for Hypothesis Testing:1. **Check Test Requirements**: - Because np₀(1 - p₀) = \_\_\_\_\_\_\_\_\_ (1) \_\_\_\_\_\_\_\_\_ 10, the sample size is (2) \_\_\_\_\_\_\_\_\_ 5% of the population size, and the sample (3) \_\_\_\_\_\_\_\_\_ the requirements for testing the hypothesis (4) \_\_\_\_\_\_\_\_\_ satisfied. - **Options**: - (1) ≠, >, = - (2) greater than, less than - (3) cannot be reasonably assumed to be random, is given to be random, is given to not be random, can be reasonably assumed to be random - (4) are not, are2. **Formulate Hypotheses**: - Null Hypothesis (H₀): (5) \_\_\_\_\_\_\_\_\_ (6) \_\_\_\_\_\_\_\_\_ versus Alternative Hypothesis (H₁): (7) \_\_\_\_\_\_\_\_\_ (8) \_\_\_\_\_\_\_\_\_ - **Options**: - (5) σ, >, p, μ - (6) <, ≠, >, = - (7) μ, p, σ - (8) ≠, =, >3. **Calculate the Test Statistic**: - z₀ = \_\_\_\_\_\_\_\_\_ (Round to two decimal places as needed.)4. **Find the P-value**: - P-value = \_\_\_\_\_\_\_\_\_ (Round to three decimal places as needed.)5

As per our guidelines we are suppose to do only one question6)

6. Twenty years ago, 46% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 236 of 850 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a = 0.1 level of significance. Because npo (1- Po) (1) 10, the sample size is (2) %3D 5% of the population size, and the sample (3) satisfied. the requirements for testing the hypothesis (4) (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: (5). versus H1: (7) (8) (Type integers or decimals. Do not round.) Find the test statistic. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below.. O A. Since P-value < a, do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel dif O B. Since P-value < a, reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that parents fee O D. Since P-value > a, reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differe (1) O (4) O are not (2) O greater than O less than (3) O cannot be reasonably assumed to be random, is given to be random, are is given to not be random, O can be reasonably assumed to be random, (5) (6) (7) (8) 0000 00 0000 O000 000

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P