Critical values for quick reference during this activity. Confidence level Critical value z* = 1.645 0.90 0.95 0.99 457270.3064540.qx3zqy7 z* = 1.960 z* = 2.576 Jump to level 1 In a poll of 1000 randomly selected voters in a local election, 911 voters were in favor of school bond measures. What is the sample proportion p? 0.911 What is the margin of error m for the 99% confidence level? Ex: 0.123 Check 1 Next
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In a poll of 1000 randomly selected voters in a local election, 911 voters were in favor of school bond measures.
Introduction:
It is required to find the margin of error of the 99% confidence interval of voters in the population who were in favor of school bond measures.
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- The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 42 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.01 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level. (a) Identify the correct alternative hypothesis H a H a : μ < 21.21 μ < 21.21 μ = 21.21 μ = 21.21 μ > 21.21 μ > 21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject H 0 H 0 Reject H 0 H 0 (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: There is not sufficient evidence to support…The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.215 mm and sample standard deviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis HaHa: μ<21.21μ<21.21 μ>21.21μ>21.21 μ=21.21μ=21.21 Give all answers correct to 4 decimal places.(b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject H0H0 Reject H0H0 (e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is not sufficient evidence to warrant rejection of the claim The sample data supports the claim…The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.215 mm and sample standard deviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis HaHa: μ<21.21μ<21.21 μ>21.21μ>21.21 μ=21.21μ=21.21 Give all answers correct to 4 decimal places.(b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject H0H0 Reject H0H0 (e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is not sufficient evidence to warrant rejection of the claim The sample data supports the claim…
- The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.215 mm and sample standard deviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis HaHa: μ<21.21μ<21.21 μ>21.21μ>21.21 μ=21.21μ=21.21 Give all answers correct to 4 decimal places.(b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject H0H0 Reject H0The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 39 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.21 mm and sample standard deviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis HaHa: μ>21.21μ>21.21 μ=21.21μ=21.21 μ<21.21μ<21.21 Give all answers correct to 4 decimal places.(b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your asnwers above, do you: (i) Reject H0H0 (ii) Fail to reject H0H0. Explain your choice in the box below.e) Based on your work above, choose one of the following conclusions of your test: (i) the sample data supports the claim, (ii) there is not sufficient evidence to support the claim,…The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 36 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.213 mm and sample standard deviation 0.007 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level. (a) Identify the correct alternative hypothesis Ha : μ<21.21 μ=21.21 μ>21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your asnwers above, do you: (i) Reject H0 (ii) Fail to reject H0
- The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 45 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.009 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.05 significance level. (a) Identify the correct alternative hypothesis HaHa: μ>21.21μ>21.21 μ=21.21μ=21.21 μ<21.21μ<21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Reject H0H0 Fail to reject H0H0 (e) Explain your choice. (f) Based on your work above, choose one of the following conclusions of your test: The sample data supports the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient…The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 38 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level. (c) Using the Traditional method, the critical value is: (f) Based on your work above, choose one of the following conclusions of your test: The sample data supports the claim There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim (g) Explain your choice in the box below.The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 38 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Reject H0H0 Fail to reject H0H0 (e) Explain your choice
- The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 38 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.214 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis HaHa: μ=21.21μ=21.21 μ>21.21μ>21.21 μ<21.21μ<21.21 Give all answers correct to 4 decimal places.(b) The test statistic value is: (c) Using the Traditional method, the critical value is:The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 35 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.211 mm and sample standard deviation 0.01 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.05 significance level. (a) Identify the correct alternative hypothesis HaHa: μ=21.21μ=21.21 μ>21.21μ>21.21 μ<21.21μ<21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Reject H0H0 Fail to reject H0H0 (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence…Using the sample taken from a normally distributed population with variance σ² = 16, find the approximate distribution of the sample mean and the confidence interval of the population mean at 0.95 confidence level with all detail.