Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown below. Frequencies of Breakfasts for Men and Women   French Toast Pancakes Waffles Omelets Men 97 55 94 70  Women 86 71 108 59   What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Homogeneity Paired t-test Goodness-of-Fit What are the null and alternative hypotheses? H0:H0:  The distribution of breakfast ordered for men is not the same as it is for women. Breakfast ordered and gender are dependent. Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is the same as it is for women. H1:H1:  Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is not the same as it is for women. The distribution of breakfast ordered for men is the same as it is for women. Breakfast ordered and gender are dependent. The test-statistic for this data =  (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.)  The p-value is Select an answer less than (or equal to) greater than  αα  Based on this, we should fail to reject the null reject the null accept the null Thus, the final conclusion is... There is sufficient evidence to conclude that breakfast ordered and gender are dependent. There is insufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women. There is sufficient evidence to conclude that the distribution of breakfast ordered for men is the same as it is for women. There is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women There is insufficient evidence to conclude that breakfast ordered and gender are dependent.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.