Ha:P1 # P2 Solve: Give the value of the test statistic. Use the calculator. Select an answer What do you conclude? What is the P-value for the test? There is evidence that the two proportions differ at the 0.10 significance level. O The difference between the sample proportions is not significant at the 0.10 level. O The data prove that the null hypothesis is true. That is, the randomization worked.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal
diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can
compare the two groups at the start of the study. Asked if there is a family history of breast cancer: 1276 of
the 5964 women in the low-fat group and 1507 of the 7726 women in the control group said "Yes." If the
random assignment worked well, there should not be a significant difference in the proportions with a
family history of breast cancer. How significant is the observed difference? State: Is there evidence of a
difference in the proportion of women with a family history of breast cancer between the treatment and
control groups? Plan: Let pi be the proportion for the treatment group, and Pz the proportion for the
control group. State the hypotheses for your test.
Ha:Pi + P2 Solve: Give the value of the test statistic. Use the calculator. Select an answer ♥
Ho:pi = p2
What is the P-value for the test?
What do you conclude?
O There is evidence that the two proportions differ at the 0.10 significance level..
O The difference between the sample proportions is not significant at the 0.10 level.
O The data prove that the null hypothesis is true. That is, the randomization worked.
Transcribed Image Text:A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can compare the two groups at the start of the study. Asked if there is a family history of breast cancer: 1276 of the 5964 women in the low-fat group and 1507 of the 7726 women in the control group said "Yes." If the random assignment worked well, there should not be a significant difference in the proportions with a family history of breast cancer. How significant is the observed difference? State: Is there evidence of a difference in the proportion of women with a family history of breast cancer between the treatment and control groups? Plan: Let pi be the proportion for the treatment group, and Pz the proportion for the control group. State the hypotheses for your test. Ha:Pi + P2 Solve: Give the value of the test statistic. Use the calculator. Select an answer ♥ Ho:pi = p2 What is the P-value for the test? What do you conclude? O There is evidence that the two proportions differ at the 0.10 significance level.. O The difference between the sample proportions is not significant at the 0.10 level. O The data prove that the null hypothesis is true. That is, the randomization worked.
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