58. Which of the following null hypotheses is used to test if flve population proportions are the same? A. Ho: P1 p2 = P3 P4 ps 0.25 B. Ho: P1 p2 = P3 p4 0.25 C. Ho: P1 p2 = p3 P4 = 0.20 D. Ho: P1 p2 = P3 p4 ps 0.20 59. A fund manager wants to know if it is equally likely that the Dow Jones Industrial Average will go up each day of the week. For each day of the week, the fund manager observes the following number of days when the Dow Jones Industrial Average goes up. Day of the Week Observed Monday 192 Tuesday 189 Wednesday 202 Thursday 199 Friday 218 For the goodness-of-fit test, what are the degrees of freedom for the chi-squared test statistic? А. 4 В. 5 С. 6 D. 7 60. Suppose you want to determine if gender and major are independent. Which of the following tests should you use? A. Goodness-of-fit test for a multinomial experiment B. Chi-square test for independence C. Goodness-of-fit test for normality D. Jarque-Bera test for normality

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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.