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A researcher believes that among the type A blood, 10% have type B blood a residents and finds that 20 had type 0 blood. Do the data follow the hypothesized d your answers to three decimal places, Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB

A researcher believes that among the type A blood, 10% have type B blood a residents and finds that 20 had type 0 blood. Do the data follow the hypothesized d your answers to three decimal places, Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ha: po # Ho: Po = PA = PB = PAB = Type O " PA = Ha: Po PA PB ‡ PAB = 20 PA = Type 0 24 Type O 20 40 80 80 Ha: Po 0.3, PA 0.5, PB At least one of the proportions is different. Complete the table of observed counts: 0.667 > PB = Type A 40 PB = 40 " PA # PB # 3 Type A 1 4 0 1 4 12' › PAB = 12 80 0.1, PAB PAB = 2 Complete the table of expected counts under the null hypothesis: Type B PAB # 12 Type B Type B 8 8 80 0.1 8 Using your previous answers, complete the table of contributions to the test statistic: Hint: Think about the formula for the test-statistic for a goodness of fit test. Type A Type AB Type AB 0 Type AB 8 ▼ Part 2 of 5 Part 3 of 5
Transcribed Image Text:A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ha: po # Ho: Po = PA = PB = PAB = Type O " PA = Ha: Po PA PB ‡ PAB = 20 PA = Type 0 24 Type O 20 40 80 80 Ha: Po 0.3, PA 0.5, PB At least one of the proportions is different. Complete the table of observed counts: 0.667 > PB = Type A 40 PB = 40 " PA # PB # 3 Type A 1 4 0 1 4 12' › PAB = 12 80 0.1, PAB PAB = 2 Complete the table of expected counts under the null hypothesis: Type B PAB # 12 Type B Type B 8 8 80 0.1 8 Using your previous answers, complete the table of contributions to the test statistic: Hint: Think about the formula for the test-statistic for a goodness of fit test. Type A Type AB Type AB 0 Type AB 8 ▼ Part 2 of 5 Part 3 of 5
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