6. There is a claim that the distributions of population proportions of responses to the question \"Will you vote for Donald Trump for President?\" for likely Long Beach voters in October 2020 was the same as in October 2016. A researcher gathered randomly selected data from both time periods and organized her work in the table below. She will be conducting a chi-square test for homogeneity test the claim. Observed Values October 2016 Oct 2020 Total Yes 175 180 355 No 235 320 555 N0 Opioion 70 20 90 Total 480 520 1000 a. State the null and alternative hypothesis the researcher can use for this test. (5 points) b. What are the degrees of freedom for this test? (5 points) c. Fill in the expected values (remember, this is a test for homogeneity) (5 points) Expected Values October 2016 Oct 2020 Total Yes 355 No 555 No Opioion 90 Total 480 520 1000 d. Find the test statistic and also the related P-value. (5 points) e. If she is testing the claim at a 1% level of signicance, what can she conclude about the null hypothesis? Additionally, what conclusion can she reach in context to the claim? Give reasons for your answers, and use complete sentences. (5 points)E