A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.65 hours on chores during a weekend. The population standard deviation is known to be 3.0 hours. a. Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14 hours on chores during a weekend. Will you reject the null hypothesis at α = .05? b. Test the hypothesis of part a using the critical-value approach at α = .05.

a) The null and alternative hypotheses:

H0 : u ≤ 14

H1 : u > 14

This is a right tailed test.

Let's find test statistics, z

P-value:

Using the standard normal table, NORMSDIST(3.0641) = 0.99889

P(Z>3.0641) = 1 - 0.99889

P(Z>3.0641) = 0.00111

Pvalue = 0.00111

At a significance level of 0.05.

Since pvalue, 0.00111 is less than significance level, 0.05, we reject null hypothesis, H0.

b) Test the hypothesis of part a using the critical-value approach at α = .05

At α = 0.05, (1 - 0.05) = 0.95

Using the standard normal table, the critical value at 0.95 is 1.65.

Reject null hypothesis H0, since Zstat 3.0641 is greater than Zcritical, 1.65.

explanation:

there are two statements that are incorrect.

1. the marshall plan was a lend lease program. it was an economic plan that europe redevelop itself after wwii.

2. einstein didn't really do anything to further the allied cause in building the bomb. he merely sent a letter to fdr telling him (in 1939) that if the united states entered the war, perhaps it would be wise to build the bomb before germany did. i would say this answer is incorrect, but when america entered the war 2 years later, fdr thought it might be a good idea to take einstein's advice.

the 4th choice is definitely so wrong that is likely the single answer of this question

b

make me