You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 29 32 35 31 32 30 41 23 22 27 26 31 36 27 30 28 (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states Ho and H? O A. Ho: H2 32 O B. Ho:H<32 OC. Ho: > 32 HiH<32 HiH232 Hius32 O D. Ho: H=32 HaiH<32 O E. Ho:H5 32 HaiH> 32 OF. Ho: u=32 H p#32 (b) Use technology to find the P-value. P=(Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject Ho because the P-value is less than the significance level. O C. Reject Ho because the P-value is greater than the significance level. O D. Fail to reject Ho because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. O B. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. O C. At the 10% level of significance, there is not sufficient evidence to support O D. At the 10% level of significance, there is not sufficient evidence to support. the claim that the mean class size for full-time faculty is more than 32 students. the claim that the mean class size for full-time faculty is fewer than 32 students.

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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.