How does the difference between f, and f, influence the outcome of a chi-square test? The larger the difference, the larger the value of chi-square and the lower the likelihood of rejecting the null hypothesis. The larger the difference, the larger the value of chi-square and the greater the likelihood of rejecting the null hypothesis. The larger the difference, the smaller the value of chi-square and the lower the likelihood of rejecting the null hypothesis. The larger the difference, the smaller the value of chi-square and the greater the likelihood of rejecting the null hypothesis.

The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.1 level of significance.     Category 1 Category 2 Category 3   Failures 32 51 57 Successes 39 54 73 State the hypotheses. Choose the correct answer below.     A. H0​: The categories of the variable and success and failure are independent. H1​: The categories of the variable and success and failure are dependent.   B. H0​: The categories of the variable and success and failure are dependent. H1​: The categories of the variable and success and failure are independent.   C. H0​: p1=p2=p3 H1​: At least one of the proportions is different from the others.   D. H0​: μ1=E1 and μ2=E2 and μ3=E3 H1​: At least one mean is different from what is expected. What is the​ P-value?   nothing ​(Round to three decimal places as​ needed.) What conclusion can be​…

It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage is too low.  She surveys a random of 1,000 adults and finds that 390 of these adults consider spring to be their favorite season of the year.  As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypothesis as “p < 0.25.”  What is wrong with this?   The alternative hypothesis should be “p > 0.39.” The alternative hypothesis should be “p < 0.39.” The alternative hypothesis should be “p > 0.25.” The alternative hypothesis should be “p = 0.25.” Nothing is wrong with the given alternative hypothesis.

based on these findings, at least two hypotheses that you are testing in this project. Your hypotheses can have the same dependent variable, but they should have different independent variables. (Happiness and physical health