{"id":433517,"date":"2018-06-20T23:04:04","date_gmt":"2018-06-20T23:04:04","guid":{"rendered":"https:\/\/essaypaper.org\/?p=27433"},"modified":"2018-10-24T08:59:50","modified_gmt":"2018-10-24T08:59:50","slug":"statistics-hypothesis-test-for-proportions","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/statistics-hypothesis-test-for-proportions\/","title":{"rendered":"Statistics – Hypothesis Test for Proportions"},"content":{"rendered":"

Part 1 (MUST SHOW ALL WORK)<\/strong><\/p>\n

    \n
  1. An opinion poll asks a random sample of 100 college juniors how they view their job prospects once they graduate. Out of the 100 students 53 said \u201cExcellent.\u201d Find a 95% confidence interval to estimate the proportion of college juniors who think their job prospects are excellent. Assume large samples.<\/li>\n
  2. In 1999, the Bureau of Justice Statistics3<\/sup>\u00a0indicated that 14% of violent crimes are committed by women. Suppose that a random sample of 400 people who committed violent crimes was taken and it was determined that 65 of the 400 were women. Find a large-sample 95% confidence interval based on the sample data. Determine if the 14% is contained in the confidence interval.<\/li>\n
  3. The IRS is trying to determine which percentage of tax returns claim itemized deductions. A random sample of 2,000 returns was taken and the IRS found that 663 claimed itemized deductions. Find a large-sample 90% confidence interval based on the sample data.<\/li>\n
  4. What are the conditions that must be checked when performing a test of proportions?<\/li>\n<\/ol>\n

    Part 2 (MUST SHOW ALL WORK)<\/strong><\/p>\n

      \n
    1. Suppose that experts claim that 14% of violent crimes are committed by women. Is there enough evidence to use a benchmark of 0.05 to reject the claim, if in a sample of 400 violent crimes, 65 were committed by women? Use the four-step (state, plan, solve, conclude) process to answer this question.<\/li>\n
    2. Suppose that California Community Bank is testing the hypothesis that the proportion of deposit slips filled out incorrectly is 2%. A random sample of 1000 customers found that 28 completed the deposit slips incorrectly.
      \na) Identify the null and alternate hypotheses.
      \nb) Determine if strong evidence exists to confirm that 2% of the deposit slips are filled out incorrectly?
      \nc) If a benchmark of 0.05 was used for the p-value, would the null hypothesis be rejected, or do we fail to reject the null?<\/li>\n
    3. A member of IRS claims that 30% of tax filers claim itemized deductions. A random sample of 2,000 returns was taken and the IRS found that 663 claimed itemized deductions. Test the claim using the four-step process. Use a significance level of 0.10. Then, compare this problem to Problem 3 of Part 1.\u00a0<\/strong><\/li>\n<\/ol>\n

       <\/p>\n","protected":false},"excerpt":{"rendered":"

      Part 1 (MUST SHOW ALL WORK) An opinion poll asks a random sample of 100 college juniors how they view their job prospects once they graduate. Out of the 100 students 53 said \u201cExcellent.\u201d Find a 95% confidence interval to Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":["post-433517","post","type-post","status-publish","format-standard","hentry","category-essay-paper-writing"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/433517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=433517"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/433517\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=433517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=433517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=433517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}