Question

Please read the following prompt carefully: "A study found that 34% of college students text while driving. A recent survey found that 353 of 900 randomly selected college students had texted while driving. Based on these findings, does the sample evidence suggest that the proportion of college students who text while driving is greater than 34%? Use the a = 0.005 level of significance." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. Po = 0.34 (Use the form Xxx) b. Hop= 0.34 (Use the form XXX) c. H1:p> 0.34 (Use the form XXX) d.x= 353 (Use the form XXX) 900 (Use the form XXX) en = f. p = 0.39 (Use the form XXX) 2.18 (Use the form XXX) 8. ZO - h. a = 0.005 (Use the form X.XXX) i za = 0.025 (Use the form X.XXX)

Answer 1

Step 1) Define hypothesis:

Claim: The proportion of college students who text while driving is greater than 34%.

#a) p₀ =0.34

#b)Null hypothesis H₀ : p= 0.34

#c)Alternative hypothesis H₁ : p > 0.34 (claim)

Step 2) Find Test statistics:

z =

P P4 71

Where,

#d) x = 353

#e) n= 900

= r / n  = 353 / 900 = 0.3922

f

#f) 0.39

z =

0.3922 0.34 (2.3440.66) 900

#g) z = 3.31

Test statistic z = 3.31

Step 3) Find P –Value

As this is one tail test

#h) α = 0.0005

#i) z_c = Critical value based on α = 0.0005

We have right tail test, critical region is rightmost of 0.05%   

Using Z table

100 01 02 03 04 105 06 JOB ICS 0.0 5000 5040 SOP) 0.1 5398 548 5478 02 5793 582 5871 03 5 15217 6255 04 6554 6591.6628 05 6915 6950 .6985 05 25/ 291 24 0.7 580 611 642 0.8 TA81 190 99 09 8159 8136 8212 1.0 8413 24日 184EI 1.1 8643.8655 866 12 18849 8859 888 13 029049 9066 1.4 9192 920) 9222 15 19332945 937 16 452453 9474 17 9554 9554 953 1.8 9541969 966 1.9 19713 979 T26 20 TT 978 978 2.1 9321 19826 198 2.2 936] 19854 9868 23 9339836 998 2.4 9189920 9922 的独 1990 9941 26 9953 9955 9956 27 9955 9956 19967 28 974 19975 19976 29 9981 19982 19922 3.0 9987 999) 987 3.1 9990 9991 19961 3.219993 19993 994 3 19995 9995 19955 5120 5160 5199 5219 57 5557 596 5626 5910 5948 58] 15025 5293 31 64 6406 5664 6700 15 62 015 ID54 C88 13 5」 89 7422 454 75 T04 4 IE4 796) 与 838051 828 18264 8的 8815 8485 1508 83] 1854 BTOE 8729 18749 TO 1990g 8825 18944 8962 908 9099 915 9121 926 9251 9265929 9370 9382 994 9406 34 45 9505 15 1958 1.9591 9599 9608 1966 19671 678 9666 TE 78 9744 970 978E 1993 9798 9803 984 19838 19642 986 987] 875 9678 9881 990] 19904 9906 9909 9925 1927 9929 19921 19942 1995 19946 9948 9951 959 960 996] 9966 19969 950 1971 99T 9月 9E78 99 1982 19984 19984 995 3988 998 9989 9969 999] 9992 1992 9992 1999/ 19994 994 9964 19996 19996 9996 9926 5279 319 5259 675 E714 553 5064 E103 6141 6443 1.6480 6517 6808 1.6844 .6879 1151 1190 24 7426 1517 E49 194 182 1752 BOT8 LE106 8 840 1865 18289 85元 1959 18621 A790 E80 18630 8980 1997 19015 914] 152 9 992 2306 9319 9418 949 941 525 55 945 9616 9625 963 9693 9699 96 9756 GT61 96) 9808 C812 19817 9850 19854 9657 9884 19887 1990 911 913916 932 1994 1966 9949 951 19652 9962 9963 19564 99T 9973 974 9999 19980 1998] 9985 1996 966 999990 9590 992 9993 1993 9995 19995 1995 996 19996 9697 25 0.0005

Z_c = 3.29

Step 4) Conclusion:

As test statistic 3.31 is greater than critical value 3.29 at level of significance =0.0005, We reject the null hypothesis and conclude that there is enough evidence to support the claim that the proportion of college students who text while driving is greater than 34%.