1. What is 15% of 1000? 2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale? Suppose the first question is asked of 200 randomly selected college students, with 161 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 146 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p, for the true proportion students who answered the question without context correctly and p, for the true proportion of students who answered the question with context correctly.) USE SALT State the relevant hypotheses. Ho: P₂ - P₂0 H₂: P₁ P₂ > 0 O Ho: P₂ P₂ <0 H₂: P₂ - P₂ = 0 Ho: P₁ P₂ = 0 H₂: P₁-P₂ *0 Ho: P₁ P₂ = 0 H₂: P₁ P₂ <0 O Ho: P₁ P₂ > 0 H₂: P₂ -P₂-0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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1. What is 15% of 1000?
2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale?
Suppose the first question is asked of 200 randomly selected college students, with 161 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 146 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of
correct responses to the question without context exceeds that for the one with context. (Use p, for the true proportion students who answered the question without context correctly and p₂ for the true proportion of students who answered the question with context correctly.)
State the relevant hypotheses.
ⒸH₁: P₁ P₂ = 0
H₂: P₁
P₂ > 0
Ho: P₁
H₂: P₁
Ho: P₁
Ha: P₁
O Ho: P₁
H₂: P₁
O Ho: P₁
Ha: P₁
z =
P₂ <0
P-value =
P₂ = 0
P₂ = 0
USE SALT
P₂ #0
P₂ = 0
P₂ <0
P₂ > 0
Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
P₂ = 0
Transcribed Image Text:1. What is 15% of 1000? 2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale? Suppose the first question is asked of 200 randomly selected college students, with 161 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 146 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p, for the true proportion students who answered the question without context correctly and p₂ for the true proportion of students who answered the question with context correctly.) State the relevant hypotheses. ⒸH₁: P₁ P₂ = 0 H₂: P₁ P₂ > 0 Ho: P₁ H₂: P₁ Ho: P₁ Ha: P₁ O Ho: P₁ H₂: P₁ O Ho: P₁ Ha: P₁ z = P₂ <0 P-value = P₂ = 0 P₂ = 0 USE SALT P₂ #0 P₂ = 0 P₂ <0 P₂ > 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P₂ = 0
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