Question

Consider testing H0: μ=20 against Ha: μ<20 where μ is the mean number of latex gloves...

Consider testing H0: μ=20 against Ha: μ<20 where μ is the mean number of latex gloves used per week by all hospital​ employees, based on the summary statistics n=43, overbar x = 19.1​, and s=11.2 Complete parts a and b.

a. Compute the​ p-value of the test.

The​ p-value of the test is  .2991. ​(Round to four decimal places as​ needed.)

b. Compare the​ p-value with α=0.01 and make the appropriate conclusion. Choose the correct answer below.

a)There is sufficient evidence to reject H0.

b)There is insufficient evidence to reject H0

Homework Answers

Answer #1

(a)

The p-value is 0.2995

(b)

Since p-value is greater than 0.01 so we fail to reject the null hypothesis.

Correct option:

b)There is insufficient evidence to reject H0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider testing H0: μ=20 against Ha: μ<20 where μ is the mean number of latex gloves...
Consider testing H0: μ=20 against Ha: μ<20 where μ is the mean number of latex gloves used per week by all hospital​ employees, based on the summary statistics n=45, x=19.3, and s=11.1 Complete parts a andb. a. Compute the​ p-value of the test. The​ p-value of the test is ? ​(Round to four decimal places as​ needed.)
Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline...
Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where μ is the mean number of latex gloves used per week by all hospital​ employees, based on the summary statistics n=43​, x=19.3​, and s=11.1 Complete parts a and b. a. Compute the​ p-value of the test. b. Compare the​ p-value with α=0.05 and make the appropriate conclusion. Choose the correct answer below. There is sufficient evidence to...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 34 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence...
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36...
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.2. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b)Find the p-value. (Round your answer to four decimal places.) (c)At α = 0.01, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ > 25. Reject H0. There is insufficient evidence to...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.65. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. a. p-value > 0.200 b. 0.100 < p-value < 0.200     c. 0.050 < p-value < 0.100 d. 0.025 < p-value...
Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline...
Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where muμ is the mean number of latex gloves used per week by all hospital​employees, based on the summary statistics nequals=46, x overbarxequals=19.3 and sequals=11.3 Complete parts a and b.
In a test of H0: LaTeX: \mu μ = 10.8 against LaTeX: H_A H A :...
In a test of H0: LaTeX: \mu μ = 10.8 against LaTeX: H_A H A : LaTeX: \mu μ < 10.8, the sample data with sample size 20 from a normal distribution yielded a test statistic Tobs = -2.09. Bracket the p-value for the test. Group of answer choices A) 0.01 < p-value < 0.025 B) 0.05 < p-value < 0.10 C) 0.01 < p-value < 0.005 D) 0.025 < p-value < 0.05
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of...
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.07. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ ≠ 15.Reject H0. There is...