This Question: 1 pt 1 of 1010 oomplete) This Quiz: 10 pts possibl For each cf th

Question

This Question: 1 pt 1 of 1010 oomplete) This Quiz: 10 pts possibl For each cf the situations in parts a through d beow, state whether a Type , 3 Type, cr neither error has been made. Explsin brietly a A bank wants to kno correct answer below. it the enrol nen on their website is ab 30 based on a s al sam i ot customers The test H0 p =0 3 vs HA p > 3 and re ect the null h p th is Later they find cut that actual 28% of all customers enrolled Choose A. C B C. D. E. The bank rnada Type li error. The actual value is close to 0.3 but they rejeclod the null hypothesis The bank made a Type l error. The actual value is not gre ter than 0.3 but they rejected the null to polhess. Ine bank did not make an emo. I he actual value s not equal to D.3 and 1hey reected the null hypothesis Ine bank made a lype l eror. I he actual vaue not greater than U.3 but they rejected the null hypothesis. The bank made a Type l error The actual walue is close 10 a 3 but 1hey re, ected 1he null hypothesis b) A student tests 100 students to determine whether other students on her campus prefer soda brand A or soda brand B and finds no evicence that preference for brand A is not 0.5. Later, a marketing company tests all students on campus and finds no difference. Choose the correct answer below. O A. The sticent made Type ll error She did nnt rect the null hypothesis B. The student made a Type l crror She did nol reject the null hypothesis C. Tre stucent made a Type l emor. She found no ev cence that preference for brand A s not a certain valve, but the market ng company found no evidence that preference for brand A is a certein value. O D. The student did not make an eTor. The actual value is 0.50, which was not rejected. O E. The stucent made a Type ll She tound no evidence that preference tor brand A s not a pertain vaebthe marketing compary found no evidence hat preterence or brand A is a certain value c) A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the 52.5 points the candidates averaged las: year. She samples 50 recent tests and finds the average to be 5.1 points. She fails to re ect 1G nu l hypo hesis ihal the rnear1 1s 52.5 points. A the end of the yea, e fir hat Une candidates this ear nad a mean cf 55.3 ports. C oose he conect answer belc w A. B. C. The analyst made a Type l enor The actila value was 553 points, which is greater than 52.5 The analyst madea Type Il error The actual value was 553 points, which is greater than 52 5 The arayst made a Type ll error. The actual value was 55.3 points, which is close to 52.5. Click to select your answer

Explanation / Answer

a) Here the null hypothetical value of p is 0.3 and observed value is 0.28. The alternative is p > 0.3. So, inspite of having the observed value of p less than 0.3, the null hypothesis is rejected. So we have committed Type I error. Hence, Option(D) is the correct choice. (Ans).

b) Here the null hypothesis should not be rejected based on observed value and the student didn't reject also. So he didn't commit any error. Hence, Option(D) is the correct choice. (Ans).

c) Here the actual average of this year i.e. 55.3 is higher than 52.5, but it may not be significantly higher, as it is quite close to 52.5. Hence, the analyst didn't make any error. Hence, Option(E) is the correct choice. (Ans).

d) Here the actual rate of 38% is significantly higher than 25%. Hence, the company made Type II error. They didn't reject the null hypothesis, when it should have been rejected. Hence, Option(E) is the correct choice. (Ans).

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