### Research Analysis on Predicting Unborn Child's SexA researcher set out to examine the folklore suggesting that women can predict the sex of their unborn child better than chance (50-50) would suggest. To test this hypothesis, the researcher asked 104 pregnant women to predict the sex of their unborn child. Out of these, 57 women guessed correctly. Based on this data, the researcher conducted a statistical test at a 5% significance level. The following tasks were carried out using the data:**d) Confirm Conditions for Normal Distribution:**The conditions that need to be confirmed for the observed value to be distributed as normal include:- The sample size should be sufficiently large (generally n ≥ 30 is considered adequate).- Random sampling should be employed to reduce bias.- The data should ideally be from a population that follows a normal distribution.**e) Calculate the Z-statistic:**The Z-statistic helps in determining the position of a sample proportion relative to the population proportion under the null hypothesis. \[ \hat{p} = \frac{57}{104} \approx 0.548 \]\[ p_0 = 0.5 \]\[ n = 104 \]The Z-statistic formula is:\[ Z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}} \]**f) Determining Values of \(\hat{p}\) for Null Hypothesis Rejection:**To reject the null hypothesis at a 5% significance level in a two-tailed test, the critical Z-values are approximately ±1.96. Therefore, the critical proportion values can be calculated. The researcher would reject the null hypothesis if the Z-statistic falls outside the range given by these critical values.**Note:** Mathematical workings and actual values are subject to computation based on the provided formulas and data. This explanation is a guide on how the calculations will be conducted. This research and its statistical analysis highlight the importance of using empirical data to test folk beliefs and the application of statistical methods to evaluate hypotheses.

d) Conditions: The sample must be drawn from a normal population. The sample points must be…

5. A researcher examined the folklore that women can predict the sex of their unborn child better than chance (50-50) would suggest. She asked 104 pregnant women to predict the sex of their unborn child, and 57 guessed correctly. Using this data, the researcher conducted a test at 5% significance level. d) Confirm conditions for the observed value to be distributed as normal. e) Calculate the z-statistic. f) For what values of p can the researcher reject the null?

5. A researcher examined the folklore that women can predict the sex of their unborn child better than chance (50-50) would suggest. She asked 104 pregnant women to predict the sex of their unborn child, and 57 guessed correctly. Using this data, the researcher conducted a test at 5% significance level. d) Confirm conditions for the observed value to be distributed as normal. e) Calculate the z-statistic. f) For what values of p can the researcher reject the null?

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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