In a certain school district, it was observed that 30% of the students in the element schools were dassified as only children (no siblings). However, in the special program for talented and gifted children, 94 out of 268 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a= 0.02 level of significance. What is the hypothesized population proportion for this test? (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? O one-tailed test O two-tailed test Choose the correct pair of hypotheses for this situation: (B) Ho:p= 0.3 H:p+ 0.3 (A) Ho:p = 0.3 H:p< 0.3 (C) Ho:p H:p> 0.3 0.3 %3D (F) (D) 0.351 Ho:p = 0.351 Ho:p = 0.351 Ho:P H:p < 0.351 Ha:p 0.351 H:p> 0.351 (E) %3D 88 Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic (z-score) for this sample based on the sample proportion? (Report answer as a decimal accurate to 3 decimal places.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.