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) = 0.45 $The Sample Proportion $ (\hat{p}) = 0.48 $The Sample Size $ (n) = 410 $ The Level of significance $ (\alpha) = 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) = 0.49 $The Sample Proportion $ (\hat{p}) = 0.52 $ The sample size $(n) = 390 $ The Level of significance $ (\alpha) = 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) = 0.50 $The Sample Proportion $ (\hat{p}) = 0.53 $ The Level of significance $ (\alpha) = 0.05 $ Solution:The null and alternative hypothesis: $ H_0: 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) = 0.46 $The Sample Proportion $ (\hat{p}) = 0.49 $ The Level of significance $ (\alpha) = 0.05 $ Solution:The null and alternative hypothesis: $ H_0: 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) = 0.52 $The Sample Proportion $ (\hat{p}) = 0.55 $ The Level of significance $ (\alpha) = 0.05 $ Solution:The null and alternative hypothesis: $ H_0: 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) = 0.48 $The Sample Proportion $ (\hat{p}) = 0.51 $ The Level of significance $ (\alpha) = 0.05 $ Solution:The null and alternative hypothesis: $ H_0: 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 $(\mu) = 408$The sample mean $(\overline{x}) = 413$The sample standard deviation $(s) = 12$The sample size $(n) = 23$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 408$$H_a: \mu > 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 $(\mu) = 411$The sample mean $(\overline{x}) = 416$The sample standard deviation $(s) = 14$The sample size $(n) = 21$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 411$$H_a: \mu > 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 $(\mu) = 405$The sample mean $(\overline{x}) = 408$The sample standard deviation $(s) = 13$The sample size $(n) = 22$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 405$$H_a: \mu > 405$…