you are conducting a study to see if the average female life expectancy is significantly different from 99. Your sample data (n=13) produce the test statistic t=-2.87. Find the p-value accurate to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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you are conducting a study to see if the average female life expectancy is significantly different from 99. Your sample data (n=13) produce the test statistic t=-2.87. Find the p-value accurate to 4 decimal places.

You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.28. Your sample data produce the test statistic z=1.64. Find the p-value accurate to 4 decimal places.

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.1. Your sample data produce the test statistic z=-1.747 . Find the p-value accurate to 4 decimal places.

 

You wish to test the following claim at a significance level of a = 0.001.
Ho: p= 0.32
H₁ :p < 0.32
You obtain a sample of size 555 in which there are 155 successful observations.
What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in
the middle of your calculations.)
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
This test statistic leads to a decision to
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that
there is sufficient evidence to conclude that the population proportion is less than 0.32.
there is not sufficient evidence to conclude that the population proportion is less than 0.32.
O there is sufficient evidence to conclude that the population proportion is equal to 0.32.
O there is not sufficient evidence to conclude that the population proportion is equal to 0.32.
Transcribed Image Text:You wish to test the following claim at a significance level of a = 0.001. Ho: p= 0.32 H₁ :p < 0.32 You obtain a sample of size 555 in which there are 155 successful observations. What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) This test statistic leads to a decision to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the population proportion is less than 0.32. there is not sufficient evidence to conclude that the population proportion is less than 0.32. O there is sufficient evidence to conclude that the population proportion is equal to 0.32. O there is not sufficient evidence to conclude that the population proportion is equal to 0.32.
You wish to test out the fairness of a coin at a significance level of a = 0.005. You obtain a sample of size
595 in which there are 311 heads, leading you to believe that the proportion of heads is more than 0.5.
With hypotheses Ho: p ≤ 0.5 vs H₁ : p > 0.5, what is/are the critical value(s)? (Report answer accurate
to 2 decimal places.)
What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in
the middle of your calculations.)
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
Our decision is to
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that
O there is sufficient evidence to conclude that the population proportion of heads is greater than 0.5.
O there is not sufficient evidence to conclude that the population proportion of heads is greater than
0.5.
there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
O there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
Transcribed Image Text:You wish to test out the fairness of a coin at a significance level of a = 0.005. You obtain a sample of size 595 in which there are 311 heads, leading you to believe that the proportion of heads is more than 0.5. With hypotheses Ho: p ≤ 0.5 vs H₁ : p > 0.5, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.) What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) Our decision is to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population proportion of heads is greater than 0.5. O there is not sufficient evidence to conclude that the population proportion of heads is greater than 0.5. there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5. O there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
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