Pls help! In a survey, 35% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 160 pet owners and discovered that 55 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α = 0.1 level of significance.**Click here to view the standard normal distribution table (page 1).****Click here to view the standard normal distribution table (page 2).**### What are the null and alternative hypotheses?- \( H_0: \) [ ] versus \( H_1: \) [ ]*(Type integers or decimals. Do not round.)*### Determine the test statistic, \( z_0 \).- \( z_0 = \) [ ] *(Round to two decimal places as needed.)*### Determine the critical value(s).Select the correct choice below and fill in the answer box to complete your choice.*(Round to two decimal places as needed.)*- A. \( z_{\alpha} = \) [ ]- B. \( \pm z_{\alpha/2} = \pm \) [ ]### Does the veterinarian have a right to be skeptical?- A. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is not 35%.- B. 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 talk to their pets on the telephone is less than 35%.- C. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 35%.- D. 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 talk to their pets on the telephone is 35%. ### Hypothesis Testing of Pet Owners Talking to Pets on the TelephoneIn a survey, 35% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 160 pet owners and discovered that 55 of them spoke to their pet on the telephone. We are tasked with determining if the veterinarian has a right to be skeptical. We will use the α = 0.1 level of significance.#### Steps for Hypothesis Testing:1. **Check the Assumptions:** - Verify if n * p₀ (1 - p₀) ≥ 10, where n represents the sample size, and p₀ represents the assumed proportion, in this case, 35%. - Confirm that the sample size is less than 5% of the population size. - Check if the sample is randomly selected and independent.2. **Formulate the Hypotheses:** - **Null Hypothesis (H₀):** The proportion of pet owners who talk to their pets is 35% (p = 0.35). - **Alternative Hypothesis (H₁):** The proportion of pet owners who talk to their pets is not 35% (p ≠ 0.35).3. **Compute the Test Statistic:** - Use the formula z₀ = \((\hat{p} - p₀) / \sqrt{(p₀(1 - p₀) / n)}\). - Round the result to two decimal places as needed.4. **Determine the Critical Value(s):** - This depends on the level of significance and whether the test is one-tailed or two-tailed.5. **Make a Decision:** - **Option A:** The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion is not 35%. - **Option B:** The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion is less than or greater than 35%.### Additional Resources:- [Click here to view the standard normal distribution table (page 1).](#)- [Click here to view the standard normal distribution table (page 2).](#)This framework helps in statistically analyzing whether the hypothesis about pet owners communicating with their pets via telephone holds true or

Solution To test hypothesis we will use z test for single proportion.

In a survey, 35% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected pet owners and discovered that 55 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significa Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... What are the null and alternative hypotheses?

In a survey, 35% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected pet owners and discovered that 55 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significa Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... What are the null and alternative hypotheses?

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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