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 = Ho: Po Ho: po 0.3, PA = 20 80 1 20 Alternative hypothesis: Ha: Po Туре О 20 PA , PA = Ho: Po = PA = PB = PAB Type O 24 20 0.5, PB 40 80 1 40 PA #PB = PAB = › PB = ,PB Type A = Complete the table of observed counts: 40 Type A Ha: Po Ha: Po At least one of the proportions is different. 0.1, PAB 12 1 4 11 4 40 12 80 80 80 0.3, PA ‡ 0.5, PB ‡ 0.1, PAB ‡ 0.1 80 1 12 › PA # ,PB # PAB # Type B 12 = 0.1 , PAB PAB Type B 8 Complete the table of expected counts under the null hypothesis: 8 80 1 8 8 80 Type AB Type AB 8 Part 2 of 5

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 = Ho: Po Ho: po 0.3, PA = 20 80 1 20 Alternative hypothesis: Ha: Po Туре О 20 PA , PA = Ho: Po = PA = PB = PAB Type O 24 20 0.5, PB 40 80 1 40 PA #PB = PAB = › PB = ,PB Type A = Complete the table of observed counts: 40 Type A Ha: Po Ha: Po At least one of the proportions is different. 0.1, PAB 12 1 4 11 4 40 12 80 80 80 0.3, PA ‡ 0.5, PB ‡ 0.1, PAB ‡ 0.1 80 1 12 › PA # ,PB # PAB # Type B 12 = 0.1 , PAB PAB Type B 8 Complete the table of expected counts under the null hypothesis: 8 80 1 8 8 80 Type AB Type AB 8 Part 2 of 5

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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