The culinary herb cilantro, Coriandrum sativum, is very polarizing: some people love it and others hate it. A genetic component is suspected in this phenomenon. A survey of American adults of European ancestry found that 1129 of 7295 women and 865 of 7309 men said that cilantro tastes soapy.We want to know if women and men in this population differ in how they perceive the taste of cilantro. What is the pooled sample proportion of women and men who say that cilantro tastes soapy? Conduct a hypothesis test, and state the test statistic and p-value and give the conclusion. How much differ? Construct a 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy. Interpret your interval in the context.

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Description: The culinary herb cilantro, Coriandrum sativum, is very polarizing: some people love it and others hate it. A genetic component is suspected in this phenomenon. A survey of American adults of European ancestry found that 1129 of 7295 women and 865 of

State the hypotheses. That is, there is no evidence to conclude that difference between the proportion of women and men differ perceiving the taste of cilantro. That is, there is evidence to conclude that difference between the proportion of women and men differ perceiving the taste of cilantro. Obtain the value of the test statistic. The value of test statistic is obtained below: Thus, the value of test statistic is 6.42. Obtain the P-value. Use Excel to obtain the probability value for Z=6.42 Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMSDIST” Enter the test statistic Z as 6.42. Click enter EXCEL output: From the Excel output, the P-value is 1 The P-value in right tail is 0(=1–1) The P-value in two tail is 0.0000(=2*0.0000) Thus, the P-value is 0.0000. The conclusion is obtained as shown below: Use the level of significance is 0.05. The p-value is less than level of significance. By rejection rule, do not reject the null hypothesis. That is, there is evidence to conclude that difference between the proportion of women and men differ perceiving the taste of cilantro. b. Obtain the 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy. The 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy is obtained below: The formula for the confidence interval is, Use EXCEL Procedure for finding the critical value of z. Follow the instruction to obtain the critical value of z: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMINV” Enter the probability as 0.975 Enter the mean as 0 and the Standard deviation as 1. Click enter EXCEL output: From the EXCEL output, the critical value of z at the 95% confidence level is 1.96. The 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy lies between 0.0254 and 0.0476. Interpret: It is 95% confidence that the true proportions of difference between the women and men who say that cilantro tastes soapy lies within the confidence interval 0.0254 and 0.0476.

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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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The culinary herb cilantro, Coriandrum sativum, is very polarizing: some people love it and others hate it. A genetic component is suspected in this phenomenon. A survey of American adults of European ancestry found that 1129 of 7295 women and 865 of 7309 men said that cilantro tastes soapy.
We want to know if women and men in this population differ in how they perceive the taste of cilantro. What is the pooled sample proportion of women and men who say that cilantro tastes soapy? Conduct a hypothesis test, and state the test statistic and p-value and give the conclusion.

How much differ? Construct a 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy. Interpret your interval in the context.

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