B. suppose we take a sample of 300 students and find the sample proportion participating in the recycling program. which sample proportion do you think is more likely to be closer to 33%: the proportion from a sample size of 30 or the proportion from a sample size of 300? explain your reasoning. choose the correct answer below. a. the sample with size 30 will be closer to 33% because a smaller sample size has less variation. b. the sample with size 300 will be closer to 33% because a larger sample size has more variation. c. the sample with size 30 will be closer to 33% because a smaller sample size has a smaller standard error. d. the sample with size 300 will be closer to 33% because a larger sample size has a smaller standard error.

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.