In a survey of200 females who recently completed high school,75%were enrolled in college. In a survey of140 males who recently completed high school,70%were enrolled in college. Atalpha equals 0.06,can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).(a) Identify the claim and stateUpper H 0 andUpper H Subscript a. The claim is "the proportion of female college enrollees is▼ greater thanless thandifferent thanthe same asthe proportion of male college enrollees."Letp 1 represent the population proportion for female college enrollees andp 2 represent the population proportion for male college enrollees. StateUpper H 0 andUpper H Subscript a. Choose the correct answer below. A.Upper H 0:p 1equalsp 2Upper H Subscript a:p 1not equalsp 2 B.Upper H 0:p 1not equalsp 2Upper H Subscript a:p 1equalsp 2 C.Upper H 0:p 1greater than or equalsp 2Upper H Subscript a:p 1less thanp 2 D.Upper H 0:p 1less thanp 2Upper H Subscript a:p 1greater than or equalsp 2 E.Upper H 0:p 1less than or equalsp 2Upper H Subscript a:p 1greater thanp 2 F.Upper H 0:p 1greater thanp 2Upper H Subscript a:p 1less than or equalsp 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are)nothing.(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A.zgreater thannothing B.nothingless thanzless thannothing C.zless thannothing D.zless thannothing andzgreater thannothing (c) Find the standardized test statistic. zequalsnothing (Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject Upper H 0 because the test statisticis in the rejection region. Fail to reject Upper H 0 because the test statisticis not in the rejection region. Reject Upper H 0 because the test statisticis not in the rejection region. Reject Upper H 0 because the test statisticis in the rejection region.(e) Interpret the decision in the context of the original claim. Choose the correct answer below. A.At the6%significance level, there issufficient evidence to reject the claim. B.At the6%significance level, there isinsufficient evidence to support the claim. C.At the6%significance level, there issufficient evidence to support the claim. D.At the6%significance level, there isinsufficient evidence to reject the claim.

Question

In a survey of200 females who recently completed high​ school,75​%were enrolled in college. In a survey of140 males who recently completed high​ school,70​%were enrolled in college. Atalpha equals 0.06​,can you reject the claim that there is no difference in the proportion of college enrollees between the two​ groups? Assume the random samples are independent. Complete parts​ (a) through​ (e).​(a) Identify the claim and stateUpper H 0 andUpper H Subscript a. The claim is​ &#34;the proportion of female college enrollees is▼ greater thanless thandifferent thanthe same asthe proportion of male college​ enrollees.&#34;Letp 1 represent the population proportion for female college enrollees andp 2 represent the population proportion for male college enrollees. StateUpper H 0 andUpper H Subscript a. Choose the correct answer below.  A.Upper H 0​:p 1equalsp 2Upper H Subscript a​:p 1not equalsp 2  B.Upper H 0​:p 1not equalsp 2Upper H Subscript a​:p 1equalsp 2  C.Upper H 0​:p 1greater than or equalsp 2Upper H Subscript a​:p 1less thanp 2  D.Upper H 0​:p 1less thanp 2Upper H Subscript a​:p 1greater than or equalsp 2  E.Upper H 0​:p 1less than or equalsp 2Upper H Subscript a​:p 1greater thanp 2  F.Upper H 0​:p 1greater thanp 2Upper H Subscript a​:p 1less than or equalsp 2 ​(b) Find the critical​ value(s) and identify the rejection​ region(s). The critical​ value(s) is(are)nothing.​(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as​ needed.)Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) within your choice. ​(Round to two decimal places as​ needed.)  A.zgreater thannothing  B.nothingless thanzless thannothing  C.zless thannothing  D.zless thannothing andzgreater thannothing ​(c) Find the standardized test statistic. zequalsnothing ​(Round to two decimal places as​ needed.)​(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.   Fail to reject Upper H 0 because the test statisticis in the rejection region.  Fail to reject Upper H 0 because the test statisticis not in the rejection region.  Reject Upper H 0 because the test statisticis not in the rejection region.  Reject Upper H 0 because the test statisticis in the rejection region.​(e) Interpret the decision in the context of the original claim. Choose the correct answer below.  A.At the6​%significance​ level, there issufficient evidence to reject the claim. B.At the6​%significance​ level, there isinsufficient evidence to support the claim. C.At the6​%significance​ level, there issufficient evidence to support the claim. D.At the6​%significance​ level, there isinsufficient evidence to reject the claim.

Accepted Answer

Answer:-