Do a hypothesis test on the information. Also, do a 95% confidence interval. Fol

Question

Do a hypothesis test on the information. Also, do a 95% confidence interval.

           Follow the 5 steps of hypothesis testing:

state the hypotheses H0 and H1, and identify the claim:
Ho: p = .50 and H1: p > .50 with p being the proportion McDonalds food items that are higher in fat than other fast food restaurants.

find the critical value(s)

compute the test value

make the decision

summarize the results

Fast Food Restaurant Item Type Serving Size (g) Calories Total Fat (g) Saturated Fat (g) Trans Fat (g) Sodium (mg) Carbs (g) Sugars (g) Protein (g) McDonald's Hamburger Burger 98 240 8 3 0 480 32 6 12 McDonald's Cheeseburger Burger 113 290 11 5 0.5 680 33 7 15 McDonald's Big Mac Burger 211 530 27 10 1 960 47 9 24 McDonald's Quarter Pounder with Cheese Burger 202 520 26 12 1.5 1100 41 10 30 McDonald's Bacon Clubhouse Burger Burger 270 720 40 15 1.5 1470 51 14 39 McDonald's Double Quarter Pounder with Cheese Burger 283 750 43 19 2.5 1280 42 10 48 McDonald's Chocolate Shake (12oz) Milkshake 257 530 15 10 1 160 86 63 11 McDonald's Premium Crispy Chicken Classic Sandwich Breaded Chicken Sandwich 213 510 22 3.5 0 990 55 10 24 McDonald's Premium Grilled Chicken Classic Sandwich Grilled Chicken Sandwich 200 350 9 2 0 820 42 8 28 McDonald's Chicken McNuggets® (4 piece) Chicken Nuggets 65 190 12 2 0 360 12 0 9 McDonald's Small French Fries French Fries 75 230 11 1.5 0 130 30 0 2 Burger King Hamburger Burger 93 220 8 3 0.5 380 26 6 11 Burger King Cheeseburger Burger 104 270 12 5 0.5 560 27 7 13 Burger King WHOPPER® Sandwich Burger 260 630 38 11 1.5 810 49 11 26 Burger King Bacon & Cheese WHOPPER® Sandwich Burger 279 750 49 16 2 1260 46 8 33 Burger King DOUBLE WHOPPER® Sandwich Burger 341 850 54 18 2.5 870 49 11 43 Burger King Double Bacon King Burger 327 1040 69 28 2.5 1900 48 10 57 Burger King Chocolate Milk Shake Milkshake 343 610 16 10 0 500 103 88 14 Burger King TENDERCRISP® Chicken Sandwich Breaded Chicken Sandwich 248 660 40 7 0 1220 49 7 26 Burger King TENDERGRILL® Chicken Sandwich Grilled Chicken Sandwich 217 420 18 3 0 700 35 6 32 Burger King Chicken Nuggets- 4pc Chicken Nuggets 58 170 11 1.5 0 310 11 0 8 Burger King French Fries - small (Salted) French Fries 128 320 14 2.5 0 480 44 0 4 Wendy's Jr. Hamburger Burger 102 250 10 4 1 600 25 5 14 Wendy's Jr. Cheeseburger Burger 113 290 13 6 1 800 26 6 16 Wendy's Dave's Single Cheeseburger Burger 247 580 31 13 2 1220 42 10 30 Wendy's 1/2 lb. Double w/ Cheese Burger 329 820 47 20 3 1510 42 10 48 Wendy's 3/4 lb. Triple w/ Cheese Burger 423 1090 66 29 4 1990 43 11 69 Wendy's Baconator® Burger 295 940 56 23 3 1890 41 9 57 Wendy's Son of Baconator® Burger 211 670 37 15 2 1670 41 9 38 Wendy's Chocolate Frosty Shake, Small Milkshake 342 580 13 8 1 250 104 93 11 Wendy's Homestyle Chicken Sandwich Breaded Chicken Sandwich 247 510 20 4 0 1200 54 8 29 Wendy's Ultimate Chicken Grill Sandwich Grilled Chicken Sandwich 231 370 7 2 0 880 43 9 34 Wendy's 4-Piece Regular Chicken Nuggets Chicken Nuggets 60 180 12 3 0 350 10 0 9 Wendy's Small Natural-Cut Fries French Fries 108 310 15 3 0 330 40 0 4 Chick-fil-A Grilled Chicken Sandwich Grilled Chicken Sandwich 193 270 3.5 1 0 940 33 7 28 Chick-fil-A Chick-fil-A Chicken Sandwich Breaded Chicken Sandwich 170 410 16 3.5 0 1300 38 5 28 Chick-fil-A 4-Piece Chicken Nuggets Chicken Nuggets 57 130 6 1 0 545 6 1.5 13 Chick-fil-A Small Waffle Fries French Fries 85 280 14 5 1 105 37 0 3 Chick-fil-A Chocolate Milkshake Milkshake 418 560 22 13 0 380 82 79 12 Jack in the Box Hamburger Burger 105 280 11 4 0.5 680 32 5 14 Jack in the Box Hamburger with Cheese Burger 106 320 14 6 1 880 32 6 16 Jack in the Box Jumbo Jack Burger 218 490 23 8 1.5 910 44 7 26 Jack in the Box Bacon Ultimate Cheeseburger™ Burger 284 910 56 24 3 2190 44 7 57 Jack in the Box Big Cheeseburger Burger 181 560 30 12 1.5 1170 43 6 29 Jack in the Box Jr. Jack™ with Cheese Burger 153 470 19 7 1 920 33 6 16 Jack in the Box Sirloin Cheeseburger Burger 370 1030 71 23 2.5 1990 52 9 41 Jack in the Box Sourdough Jack® Burger 223 660 41 15 1.5 1450 40 8 35 Jack in the Box Shake, Chocolate w/ Whipped Topping 16 oz. Milkshake 376 800 38 26 1.5 300 101 88 13 Jack in the Box Chicken Sandwich Breaded Chicken Sandwich 147 410 21 3.5 0 880 42 4 15 Jack in the Box Sourdough Grilled Chicken Club Grilled Chicken Sandwich 261 540 26 7 0 1490 38 6 39 Jack in the Box Chicken Nuggets 5 pc. Chicken Nuggets 77 240 17 2 0 600 13 0 9 Jack in the Box Sourdough Grilled Chicken Club French Fries 107 330 15 1.5 0 610 45 0 4 Sonic JR. BURGER Burger 113 330 17 6 0.5 480 30 3 15 Sonic JR. CHEESEBURGER Burger 131 390 23 9 0.5 810 31 3 19 Sonic SONIC® BURGER WITH KETCHUP Burger 265 650 37 14 1.5 840 46 10 31 Sonic SuperSONIC® BACON DOUBLE CHEESEBURGER WITH MAYO Burger 396 1240 87 35 3.5 1690 44 8 67 Sonic SONIC® BACON CHEESEBURGER WITH MAYO Burger 278 820 54 20 2 1260 43 7 39 Sonic HATCH GREEN CHILE CHEESEBURGER Burger 304 710 43 17 1.5 1120 43 8 35 Sonic Chocolate Shake Small Milkshake 387 670 31 23 0 330 89 56 8 Sonic CLASSIC CHICKEN SANDWICH-CRISPY Breaded Chicken Sandwich 244 580 29 4.5 0 900 57 7 28 Sonic CLASSIC CHICKEN SANDWICH-GRILLED Grilled Chicken Sandwich 257 450 17 2 0 1240 44 7 32 Sonic JUMBO POPCORN CHICKEN®MEDIUM Chicken Nuggets 114 380 22 4 0 1260 27 1 18 Sonic NATURAL-CUT FRIES SMALL French Fries 80 250 12 2 0 260 33 0 3 Dairy Queen Original Cheeseburger Burger 156 380 19 8 1 920 34 8 21 Dairy Queen 1/4 lb. GrillBurger with Cheese Burger 227 520 28 11 1 1110 43 10 25 Dairy Queen 1/4 lb. Mushroom Swiss GrillBurger Burger 193 560 33 12 1 890 39 5 27 Dairy Queen 1/2 lb. Cheese GrillBurger Burger 313 770 46 20 1.5 1410 43 10 45 Dairy Queen Double Cheeseburger Burger 226 580 34 16 1.5 1240 35 9 37 Dairy Queen 1/4 lb. Bacon Cheese GrillBurger™ Burger 243 620 36 14 1 1320 41 9 34 Dairy Queen Chocolate Shake, Small Milkshake 373 550 19 14 0.5 220 82 71 13 Dairy Queen Crispy Chicken Sandwich Breaded Chicken Sandwich 198 610 30 3.5 0 1120 50 5 22 Dairy Queen Grilled Chicken Sandwich Grilled Chicken Sandwich 194 360 16 2.5 0 1040 32 6 26 Dairy Queen 3 Chicken Strips Chicken Nuggets 128 350 20 3 0 960 22 0 22 Dairy Queen French Fries - Regular French Fries 142 380 17 2.5 0 790 54 0 4 Carl's Jr. Kids Hamburger Burger 130 302 12 4.8 0 569 33.6 5.6 17.7 Carl's Jr. Kids Cheeseburger Burger 144 351 15.9 7.5 0 733 34.2 5.8 20.5 Carl's Jr. Famous Star with Cheese Burger 277 591 43.7 14.1 0.4 1143 54 9.9 29.7 Carl's Jr. Super Star with Cheese Burger 390 930 56 23 2 1540 59 14 48 Carl's Jr. Western Bacon Cheeseburger Burger 250 750 35 14 1 1650 75 16 36 Carl's Jr. Teriyaki Burger Burger 316 630 29 11 1 1070 65 20 28 Carl's Jr. The Big Carl Burger 321 920 68 23 2 1380 56 12 47 Carl's Jr. The 1/2 lb. Original Six Dollar Thickburger® Burger 416 1020 70 27 3.5 1760 59 19 39 Carl's Jr. Chocolate Shake Milkshake 397 700 36 24 1.5 300 84 59 12 Carl's Jr. Buttermilk Ranch Chicken Tender Sandwich Breaded Chicken Sandwich 207 493 23.2 2.7 0.1 1287 43.2 0.4 26.7 Carl's Jr. Charbroiled Chicken Club Sandwich Grilled Chicken Sandwich 203 398 30.5 9.5 0.4 1216 36.2 5.7 28.9 Carl's Jr. Kid's Chicken Tenders (2 pcs.) Chicken Nuggets 93 220 11.1 1.6 0.1 859 9.5 0.2 20.6 Carl's Jr. Natural-Cut Fries (Small) French Fries 105 304 14.7 2.7 0.1 610 39.4 0.3 3.4 Hardee's Kids Hamburger Burger 195 500 22 5 1080 61 7 16 Hardee's Kids Cheeseburger Burger 207 550 26 6 1300 61 7 18 Hardee's 1/3 LB Original Thickburger Burger 358 820 43 16 1660 56 15 32 Hardee's 1/2 LB Original Thinkbuger Burger 424 1030 70 24 2240 57 16 45 Hardee's 1/3 LB Mushroom & Swiss Thickburger Burger 267 690 40 15 1630 52 11 34 Hardee's 1/3 LB Bacon Cheese Thickburger Burger 348 900 59 18 1680 54 13 40 Hardee's 2/3 LB Double Thickburger Burger 467 1140 79 27 2460 58 17 56 Hardee's Charbroiled Chicken Club™ Sandwich Grilled Chicken Sandwich 248 590 31 8 1510 35 9 42 Hardee's Big Chicken Fillet Sandwich Breaded Chicken Sandwich 329 750 42 8 1490 63 11 32 Hardee's 3 Piece Hand-Breaded Chicken Tenders Chicken Nuggets 128 260 13 2.5 770 13 0 25 Hardee's Natural Cut French Fries - Small French Fries 126 360 18 3 730 47 0 4 Hardee's Hand Scooped Ice-Cream Shake Milkshake 397 710 33 24 240 87 73 14 White Castle The Original Slider Burger 44 140 6 2.5 0.5 360 13 1 7 White Castle Cheese Slider Burger 63 160 9 4 0.5 500 14 2 8 White Castle Bacon Cheese Slider Burger 67 220 14 6 0.5 640 13 2 11 White Castle Double Cheese Slider Burger 113 300 17 8 1 940 20 3 15 White Castle Double Bacon Cheese Slider Burger 121 400 27 12 1 1220 21 2 21 White Castle Chicken Ring Slider Breaded Chicken Sandwich 92 380 30 7 0 460 16 2 10 White Castle Savory Grilled Chicken Slider Grilled Chicken Sandwich 88 180 7 1.5 0 570 13 2 15 White Castle 6 Chicken Rings Chicken Nuggets 143 530 47 9 0 610 12 0 18 White Castle Small French Fries French Fries 148 330 21 4 0 50 32 2 3 White Castle Chocolate Milk Shake (Chicago Region) 21oz Milkshake 450 550 10 5.5 0 330 106 90 12 Whataburger Whataburger Jr.® Burger 168 310 11 4 0 750 37 6 14 Whataburger Whataburger Jr.® with Bacon & Cheese Burger 190 400 18 7 0 1140 37 6 21 Whataburger Whataburger Burger 316 590 25 8 1 1220 62 12 29 Whataburger Whataburger® Patty Melt Burger 331 940 61 21 2 1760 45 6 49 Whataburger Double Meat Whataburger Burger 400 830 44 14 2 1470 62 12 47 Whataburger A.1.® Thick & Hearty Burger Burger 361 990 54 19 2 2080 68 18 55 Whataburger Chop House Cheddar Burger Burger 373 1110 69 26 2 1660 61 12 60 Whataburger Grilled Chicken Sandwich Breaded Chicken Sandwich 278 430 13 3 0 1040 49 13 35 Whataburger Whatachick'n® Sandwich Grilled Chicken Sandwich 285 560 22 4 0 1050 69 14 29 Whataburger Whatachick'n® Strips 2 Piece Chicken Nuggets 183 370 20 4 0 1050 31 1 17 Whataburger French Fries (Small) French Fries 85 280 14 2 0 170 35 0 3 Whataburger Chocolate Shake 16 oz Milkshake 343 430 9 6 0 400 79 77 8 In-N-Out Burger Hamburger w/Onion Burger 243 390 19 5 0 650 39 10 16 In-N-Out Burger Cheeseburger w/Onion Burger 268 480 27 10 0.5 1000 39 10 22 In-N-Out Burger Double-Double w/Onion Burger 330 670 41 18 1 1440 39 10 37 In-N-Out Burger French Fries French Fries 125 395 18 5 0 245 54 0 7 In-N-Out Burger Chocolate Shake (15oz) Milkshake 321 590 29 19 1 320 72 65 10

Explanation / Answer

proportion McDonalds food items that are higher in fat than other fast food restaurants.

p = 11/126 = 0.087

Z statistic

= p - P / PQ/n

= 0.087 - 0.5 / 0.5*0.5/126

= -9.27

Here Z statistic = -9.27 < Z critical = 1.645 at 5% rejection level

Fail to Reject H0,

we conclude that there is no sufficient evidence of the proportion McDonalds food items that are higher in fat than other fast food restaurants.

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