(Solved): Step 4: assume level of significance =0.025 Suppose that a bookseller wants to study the relationsh ...

Step 4: assume level of significance =0.025

Suppose that a bookseller wants to study the relationship between book preference and residential area. A random sample of readers is chosen for the study, and each participant is asked to choose their favorite genre out of the following choices: mystery, fiction, nonfiction, and self-help. The results are detailed below. Does the evidence gathered show a relationship between book preference and residential area at \( \alpha=0.025 \) ? Step 1 of 4: Calculate the expected value for the number of readers from a rural area who prefer nonfiction books. Round your answer to six decimal places. Step 2 of \( 4: \) Calculate the expected value for the number of readers from an urban area who prefer nonfiction books. Round your answer to six decimal places. Answer 3 Points \( E_{\text {orttui and nontítion }}= \) Step 3 of 4 : Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to enisure accuracy of the result.) Answer 3Points \[ x^{2}= \] Step 4 of 4: Draw a conclusion and interpret the decision. Answer 3 Points We reject the nuil hypothesis and conclude that there is insufficient evidence at a 0 . 10 level of significance that there is an association between book preference and residential area. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a \( 0.10 \) level of significance that there is an association between book preference and residential area. We fail to reject the nuil hypothesis and conclude that there is insufficient evidence at a \( 0.10 \) level of significance that there is an association between book preference and residential area. We reject the null hypothesis and conclude that there is sufficient evidence at a \( 0.10 \) level of significance that there is an assoclation between bookpreference and residential area.