In a newspaper's survey of 499 people, 53.7% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution. Use the display and a 0.10 significance level to complete parts (a) through (c).---Sample proportion: 0.5370741 Test Statistic, z: 1.6563 Critical z: ± 1.6449 P-value: 0.0977---c. What is the P-value?P-value = 0.0977 (Round to three decimal places as needed.)d. What is the null hypothesis, and what do you conclude about it?The null hypothesis is H₀: p = 0.5, where p denotes the population proportion of people who say that we should replace passwords with biometric security. (Do not round.)---Please use this information for educational purposes and be sure to comply with any relevant guidelines or controls related to data usage. In a newspaper’s survey of 499 people, 53.7% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display shows results from a test of the claim that half of us say we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution. Use the display and a 0.10 significance level to complete parts (a) through (e).**Sample information:**- **Sample proportion (p̂):** 0.5370741- **Test Statistic (z):** 1.6563- **Critical z:** 1.6449- **p-value:** 0.0977### Questions:a. Is the test two-tailed, left-tailed, or right-tailed?- **Choose the correct answer below:** - O two-tailed - O right-tailed - O left-tailedb. What is the test statistic?(Numbers would typically be filled in for specific questions, but the exercise seems to ask the user to understand and choose answers based on the statistics above.)### Explanation of Statistical Terms Used:- **Sample proportion (p̂):** The ratio of the sample expressing support for biometric security (53.7%).- **Test Statistic (z):** A measurement used to determine how far the sample proportion is from the expected proportion under the null hypothesis.- **Critical z:** The threshold value that determines the cut-off for statistical significance at the chosen significance level.- **p-value:** The probability of obtaining test results at least as extreme as the observed data, assuming the null hypothesis is true.### Educational Objective:Students should understand how to interpret statistical output to test hypotheses about population proportions. This includes recognizing the type of tail for the test, calculating and understanding the test statistic, critical values, and p-values to make informed decisions based on statistical evidence.

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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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