Which of the following null hypotheses is used to test if five population propor
ID: 3261214 • Letter: W
Question
Which of the following null hypotheses is used to test if five population proportions are the same? a). H_0: p_1 = p_2 = p_3 = p_4 = p_5 = 25 b). H_0: p_1 = p_2 = p_3 = p_4 = 25 c). H_0: p_1 = p_2 = p_3 = p_4 = 20 d). H_0: p_1 = p_2 = p_3 = p_4 = p_5 = 20 The chi-square test of a contingency table is a test of independence for: a). A single qualitative variable b). Two qualitative variables c). Two quantitative variables d). Three or more quantitative variables For the chi-square test of a contingency table, the expected cell frequencies are found as: a). The row total multiplied by the column total divided by the sample size b). The observed cell frequency c). (r - 1)(c - 1) d). (r)(c) For the chi-square test of a contingency table, the expected cell frequencies (f_e) are found as c_ij = [(Row i total)(Column j total)]/Sample Size, which is the same as: a). The observed cell frequencies b). The cell probability multiplied by the sample size c). The row total d). The column total If a test statistic has a value of X and is assumed to be X^2 distributed with df degrees of freedom, then the p-value for a right-tailed test found by Excel is: a). CHISQ.DIST.RT(X, df) b). CHISQ.DIST.RT(df, X) c). CHISQ.INV.RT(df, p) d). CHISQ.INV.RT(p, df)Explanation / Answer
Solution:-
1). (d)
When the null hypothesis states that there is no difference between the five population proportions, then
Ho : p1 = p2 = p3 = p4 = p5 = 0.20
2). (c)
Two quantitative variables.
3). (a)
For the chi-square test of a contingency table, the expected cell frequencies are found as:
The row total multiplied by the column total divided by the sample size.
4). (b)
The cell probability multiplied by the sample size.
5). (a)
CHISQ.DIST.RT(X,deg_freedom)
The CHISQ.DIST.RT function syntax has the following arguments:
X Required. The value at which you want to evaluate the distribution.
Deg_freedom Required. The number of degrees of freedom.
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