1. A health insurance company wants to see if customers are choosing plans according to their predictions. They offer four plans: PT (Pretty Terrible), TOK (Totally OK), MF (Maybe Fine), SP (Super Premium). The company expects 1/5 of customers to pick the first three plans and 2/5 of customers to pick the Super Premium plan. They take a sample of 25 customers to evaluate their prediction. (a) Write the expected counts for this sample in a table. (b) The sample turns out to have 3 customers choosing PT, 2 choosing TOK, 8 choosing MF, and 12 choosing SP. Run a x² test to identify if this sample is statistically significant at the 5% level. (c) Do you think that 5% is an appropriate level to use here?
1. A health insurance company wants to see if customers are choosing plans according to their predictions. They offer four plans: PT (Pretty Terrible), TOK (Totally OK), MF (Maybe Fine), SP (Super Premium). The company expects 1/5 of customers to pick the first three plans and 2/5 of customers to pick the Super Premium plan. They take a sample of 25 customers to evaluate their prediction. (a) Write the expected counts for this sample in a table. (b) The sample turns out to have 3 customers choosing PT, 2 choosing TOK, 8 choosing MF, and 12 choosing SP. Run a x² test to identify if this sample is statistically significant at the 5% level. (c) Do you think that 5% is an appropriate level to use here?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Transcribed Image Text:1.
A health insurance company wants to see if customers are choosing plans according to
their predictions. They offer four plans: PT (Pretty Terrible), TOK (Totally OK), MF (Maybe Fine),
SP (Super Premium). The company expects 1/5 of customers to pick the first three plans and 2/5
of customers to pick the Super Premium plan. They take a sample of 25 customers to evaluate their
prediction.
(a) Write the expected counts for this sample in a table.
(b) The sample turns out to have 3 customers choosing PT, 2 choosing TOK, 8 choosing MF, and
12 choosing SP. Run a x² test to identify if this sample is statistically significant at the 5% level.
(c) Do you think that 5% is an appropriate level to use here?
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