1. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.State the null and alternative hypotheses.A.H0: p ? .79, H1: p > .79 B.H0: p = .79, H1: p ? .79 C.H0: = .79, H1: > .79 D.H0: ? = .79, H1: ? > .79 2. A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?Compute the value of the appropriate test statistic.A. = 27.50 B.z = 1.65 C.t = 27.50 D. = 30.58 3. A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?State the null and alternative hypotheses.A.H0: ?2 ? 1.2, H1: ?2 = 1.2 B.H0: ?2 < 1.2,="" h1:="" 1.2="" c.h0:="" 1.2,="" h1:=""> 1.2 D.H0: ?2 ? 1.2, H1: ?2 ? 1.2 4. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.What is the p-value associated with your test of hypothesis?A.0.2437 B.0.6874 C.0.7563 D.0.4874 5.The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to testH0: p ? .45 vs H1: p < .45.in="" doing="" so,="" you="" collect="" a="" random="" sample="" of="" 50="" salespersons="" employed="" by="" his="" company,="" which="" is="" thought="" to="" be="" representative="" of="" sales="" staffs="" of="" competing="" organizations="" in="" the="" industry.="" the="" collected="" random="" sample="" of="" size="" 50="" showed="" that="" only="" 18="" were="" women.compute="" the="" test="" value="" that="" you="" would="" use="" in="" conducting="" this="" test.="" place="" your="" answer,="" rounded="" to="" 3="" decimal="" places,="" in="" the="" blank.="" for="" example,="" -2.345="" would="" be="" a="" legitimate="" entry.5.="" the="" abc="" battery="" company="" claims="" that="" their="" batteries="" last="" at="" least="" 100="" hours,="" on="" average.="" your="" experience="" with="" their="" batteries="" has="" been="" somewhat="" different,="" so="" you="" decide="" to="" conduct="" a="" test="" to="" see="" if="" the="" company&#39;s="" claim="" is="" true.="" you="" believe="" that="" the="" mean="" life="" is="" actually="" less="" than="" the="" 100="" hours="" the="" company="" claims.="" you="" decide="" to="" collect="" data="" on="" the="" average="" battery="" life="" (in="" hours)="" of="" a="" random="" sample="" of="" n="20" batteries.="" some="" of="" the="" information="" related="" to="" the="" hypothesis="" test="" is="" presented="" below.test="" of="" h0:="">= 100 versus H1: < 100sample="" mean="" 98.5std="" error="" of="" mean="" 0.777assuming="" the="" life="" length="" of="" batteries="" is="" normally="" distributed,="" what="" is="" the="" p-value="" associated="" with="" this="" test?="" place="" your="" answer,="" rounded="" to="" 3="" decimal="" places="" in="" the="" blank.="" for="" example,="" 0.0234="" would="" be="" a="" legitimate="" entry.6.="" a="" medical="" doctor="" wishes="" to="" test="" the="" claim="" that="" the="" standard="" deviation="" of="" the="" systolic="" blood="" pressure="" of="" deep="" sea="" divers="" is="" less="" than="" 450.="" to="" do="" so,="" she="" selected="" a="" random="" sample="" of="" 20="" divers="" and="" found="" s="432.Assuming" that="" the="" systolic="" blood="" pressures="" of="" deep="" sea="" divers="" are="" normally="" distributed,="" if="" the="" doctor="" wanted="" to="" test="" her="" research="" hypothesis="" at="" the="" .01="" level="" of="" significance,="" what="" is="" the="" critical="" value?place="" your="" answer,="" rounded="" to="" 3="" decimal="" places,="" in="" the="" blank.="" for="" example,="" 4.567="" would="" be="" a="" legitimate="" entry.7.="" suppose="" a="" firm="" that="" produces="" light="" bulbs="" wants="" to="" know="" whether="" it="" can="" say="" that="" its="" light="" bulbs="" typically="" last="" more="" than="" 1500="" hours.="" hoping="" to="" find="" support="" for="" their="" claim,="" the="" firm="" collects="" a="" random="" sample="" of="" n="25" light="" bulbs="" and="" records="" the="" lifetime="" (in="" hours)="" of="" each="" bulb.="" the="" information="" related="" to="" the="" hypothesis="" test="" is="" presented="" below.test="" of="" h0:="" 1500="" versus="" h1:=""> 1500Sample mean 1509.5Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.