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The results of a recent national survey reported that 70% of Americans recycle at least some of the time. As part of their final project in Statistics class, Jennifer and Roberto survey 5 random students on campus and ask them if they recycle at least some of the time. They then repeat this experiment 1000 times. The results of their research are shown here: X (number who recycle out of 5)| 0 1 2 3 4 5 Frequency I 2 24 138 305 357 174 Is there evidence to support the belief that the random Variable X, the number of students out of 5 who recycle at least some of the time, is a binomial random variable with p = 0.7 at the 5% level of significance? For full credit, do and show all the following steps: 1) State both the Null and Alternative Hypotheses. 2) Calculate the appropriate Expected Values based on a binomial probability. Round these values to the nearest whole number. 3) Calculate the ChiaSquared test statistic from the Observed and expected values. (Round this value to three decimal places.) 4) Using Table A.7, show the correct critical value and the degrees of freedom. 5) Based on the comparison of the test statistic and the critical value, what will you conclude regarding the Null Hypothesis? 6) Finally, is there evidence to support the belief that Xis a binomial random variable at the 5% level of significance? You may need to use the appropriate table in the Appendix of Tables to answer this