**Question 4**You are conducting a study to see if the probability of catching the flu this year is significantly different from 46%. With \( H_1: p \neq 46\% \) you obtain a test statistic of \( z = 1.307 \). Find the p-value accurate to 4 decimal places.**p-value =** [ ]---**Explanation:**This question is part of a statistical analysis to determine if there is a significant difference in the probability of catching the flu compared to a specified value (46%). The null hypothesis (\( H_0 \)) is that the probability is 46%, while the alternative hypothesis (\( H_1 \)) suggests it is not.The test statistic \( z = 1.307 \) is given, which measures how many standard deviations the sample proportion is from the hypothesized population proportion under the null hypothesis. The next step is to find the p-value, which helps determine the significance of the results.To find the p-value, use the standard normal distribution. The p-value represents the probability of observing a test statistic as extreme as, or more extreme than, the one calculated assuming the null hypothesis is true. For a two-tailed test with \( z = 1.307 \), you would typically look up the p-value in a standard normal (Z) table or use statistical software.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You are conducting a study to see if the probability of catching the flu this year is significantly different from 46%. With H :p 46% you obtain a test statistic of z = 1.307. Find the p-value accurate to 4 decimal places. p-value: