A publisher reports that 45% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 410 found that 48% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.45The Sample Proportion (p^)=0.48The Sample Size (n)=410 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: $ H_0:…

A publisher reports that 49% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 390 found that 52% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.49The Sample Proportion (p^)=0.52 The sample size (n)=390 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: $ H_0:…

A publisher reports that 50% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 420 found that 53% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.50The Sample Proportion (p^)=0.53 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: H0:p=0.50$ H_1: p >…

A publisher reports that 46% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 380 found that 49% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.46The Sample Proportion (p^)=0.49 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: H0:p=0.46$ H_1: p >…

A publisher reports that 52% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 450 found that 55% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.52The Sample Proportion (p^)=0.55 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: H0:p=0.52$ H_1: p >…

A publisher reports that 48% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 400 found that 51% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive’s claim?

Answer: Given Data:Hypothesized Population Proportion (p)=0.48The Sample Proportion (p^)=0.51 The Level of significance (α)=0.05 Solution:The null and alternative hypothesis: H0:p=0.48$ H_1: p >…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 408 gram setting. It is believed that the machine is overfilling the bags. A 23 bag sample had a mean of 413 grams with a standard deviation of 12. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean (μ)=408The sample mean (x―)=413The sample standard deviation (s)=12The sample size (n)=23 The significance level (α)=0.1 Solution:The null and alternative hypothesis: H0:μ=408Ha:μ>408…

A professional employee in a large corporation receives an average of μ=41.7 e-mails per day. An anti-spam protection program was installed in the company’s server, and one month later, a random sample of 45 employees showed that they were receiving an average of x̄=36.2 e-mails per day. Assume that σ=18.45. Use a 5% level of significance to test whether there has been a change (either way) in the average number of emails received per day per employee.

a.) What is α? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?α = ___H₀:μ = ___H₁:μ ___The test is a ___ test. b.) Identify the Sampling Distribution you will use. What…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. It is believed that the machine is overfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 14. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean (μ)=411The sample mean (x―)=416The sample standard deviation (s)=14The sample size (n)=21 The significance level (α)=0.1 Solution:The null and alternative hypothesis: H0:μ=411Ha:μ>411…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is overfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 13. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean (μ)=405The sample mean (x―)=408The sample standard deviation (s)=13The sample size (n)=22 The significance level (α)=0.1 Solution:The null and alternative hypothesis: H0:μ=405Ha:μ>405…