At the 0.05 level of significance, is there evidence of a difference among the age groups in the proportion of smartphone owners who have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion? State the null and alternative hypotheses. A. H0: π1=π2=π3=π4=0 H1: At least one of the πj is not equal to zero (where j=1, 2, 3, 4) B. H0: π1=π2=π3=π4 H1: π1≠π2≠π3≠π4 C. Ho: P1=P2=P3=P4 H1: not all P's are equal D. H0: π1=π2=π3=π4=0 H1: π1≠π2≠π3≠π4≠0 The test statistic is χ2STAT= (Round to three decimal places as needed.) p-value= A H0. P-value is less than α... There B significant evidence of a difference among the age groups in the proportion of smartphone owners who have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion. What does the p-value mean? Choose the correct answer below. A. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. B. The p-value is the probability of falsely rejecting the null hypothesis. C. The p-value is the probability that the null hypothesis is true. D. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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Question

How common are financial cost or contractual constraints associated with smartphone ownership? A survey of smartphone users found that 49% of the 18- to 29-year-olds, 37% of the 30- to 49-year-olds, 22% of the 50- to 64-year-olds, and 19% of those age 65 or older have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion: Suppose the survey was based on 200 smartphone owners in each of the four age groups: 18 to 29, 30 to 49, 50 to 64, and 65 and older. Complete parts (a) and (b) below. Use the table here to enter your data then use the TI-84 Tests.

Reached Max Data	18-29	30-49	50-64	65+
Yes
No
Totals

At the 0.05 level of significance, is there evidence of a difference among the age groups in the proportion of smartphone owners who have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion?

State the null and alternative hypotheses.

H0: π1=π2=π3=π4=0

H1: At least one of the πj is not equal to zero (where j=1, 2, 3, 4)

H0: π1=π2=π3=π4

H1: π1≠π2≠π3≠π4

Ho: P1=P2=P3=P4

H1: not all P's are equal

H0: π1=π2=π3=π4=0

H1: π1≠π2≠π3≠π4≠0

The test statistic is

χ2STAT= ____

(Round to three decimal places as needed.)

p-value=____

__A__ H0. P-value is less than α... There __B__ significant evidence of a difference among the age groups in the proportion of smartphone owners who have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion.

What does the p-value mean? Choose the correct answer below.

A. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.

B. The p-value is the probability of falsely rejecting the null hypothesis.

C. The p-value is the probability that the null hypothesis is true.

D. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.

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