A research center claims that more than 26​% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that​ country, 66 have changed jobs in the past three years. At α=0.01​, is there enough evidence to support the​ center's claim? Complete parts​ (a) through​ (e) below.

A research center claims that at least 31​% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent​ year, 26​% say they are concerned that their taxes will be audited. At α=0.10​, is there enough evidence to reject the​ center's claim? Complete parts​ (a) through​ (e) below.       ​(a) Identify the claim and state H0 and Ha.   Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. The percentage of adults in the country who think that their taxes will be audited is not enter your response here​%.   B. enter your response here​% of adults in the country think that their taxes will be audited.   C. Less than enter your response here​% of adults in the country think that their taxes will be audited.   D. At least enter your response here​% of adults in the country think…

According to data only 32% of Americans are saving for retirement in a 401(k). A random sample of 340 Americans was recently selected, and it was found that 118 of them made contributions to their 401(k) plans this year. a. Using α = 0.01, conduct a hypothesis test to determine if the percentage of Americans who have made contributions to their 401(k) plans this year is more than 32%. Be sure to clearly state your conclusions. b. Perform the same hypothesis test two more times, using α = 0.05 and α = 0.10, respectively. Have your conclusions changed based on either of these two new tests? c. How would the hypothesis test have been different if all you wanted to determine was that the percentage of Americans who have made contributions to their 401(k) plans this year is different from 32%? Perform this test at the α = 0.05 significance level and state your conclusions.

A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a = 0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. O B. % of adults in the country would travel into space on a commercial flight if they could afford it. %. O C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not O D. No more than % of adults in the country would…