Two random samples were drawn from members of the U S Congress One sample was taken from members who are Democrats and the other from members who are Republicans For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded Dollars Spent on Federal Projects in Home Districts Party Less than 5 Billion 5 to 10 Billion More than 10 billion Row Total Democratic 8 17 20 45 Republican 9 21 17 47 Column Total 17 38 37 92 (ii) Use a 1 level of significance to test whether congressional members of each political party spent designated amounts in the same proportions (a) What is the level of significance State the null and alternate hypotheses H 0 Same proportion of Democrats and Republicans within each spending level H 1 Different proportion of Democrats and Republicans within each spending level H 0 Different proportion of Democrats and Republicans within each spending level H 1 Different proportion of Democrats and Republicans within each spending level H 0 Same proportion of Democrats and Republicans within each spending level H 1 Same proportion of Democrats and Republicans within each spending level H 0 Different proportion of Democrats and Republicans within each spending level H 1 Same proportion of Democrats and Republicans within each spending level (b) Find the value of the chi square statistic for the sample (Round the expected frequencies to at least three decimal places Round the test statistic to three decimal places ) What sampling distribution will you use Student's t uniform chi square binomial normal What are the degrees of freedom (c) Find or estimate the P value of the sample test statistic (Round your answer to three decimal places ) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence Since the P value , we fail to reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , we fail to reject the null hypothesis

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Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members

Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded.

Dollars Spent on Federal Projects in Home Districts
Party	Less than 5 Billion	5 to 10 Billion	More than 10 billion	Row Total
Democratic	8	17	20	45
Republican	9	21	17	47
Column Total	17	38	37	92

(ii) Use a 1% level of significance to test whether congressional members of each political party spent designated amounts in the same proportions. (a) What is the level of significance? State the null and alternate hypotheses. H₀: Same proportion of Democrats and Republicans within each spending level. H₁: Different proportion of Democrats and Republicans within each spending level. H₀: Different proportion of Democrats and Republicans within each spending level. H₁: Different proportion of Democrats and Republicans within each spending level. H₀: Same proportion of Democrats and Republicans within each spending level. H₁: Same proportion of Democrats and Republicans within each spending level. H₀: Different proportion of Democrats and Republicans within each spending level. H₁: Same proportion of Democrats and Republicans within each spending level.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What sampling distribution will you use?

Student's t

uniform

chi-square

binomial

normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > , we fail to reject the null hypothesis.

Since the P-value > , we reject the null hypothesis.

Since the P-value , we reject the null hypothesis.

Since the P-value , we fail to reject the null hypothesis.