Course Code STA644

Activity Assignment # 1

Submission Deadline Date: Wednesday, Nov 27, 2019

Time: 23:59 Hours (Midnight)

Instructions to attempt assignment:

• You can use/make a single table for all necessary computations.

• Use calculator for calculations.

• Write the complete formulas and all steps, wherever necessary.

• For writing symbols, use Math Type software. If you already did not download it, get it from here.

• Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation.

STA644(Non Parametric Statistics)

Assignment # 1

Researchers have conducted a survey of 1600 coffee drinkers asking how much coffee they drink in order to confirm previous studies. Previous studies have indicated that 72% of Americans drink coffee. The results of previous studies (Table #1) and the survey (Table #2) are below.

At α = 0.05, is there enough evidence to conclude that the distributions are the same?

Table # 1

Response | % of Coffee Drinkers (E) |
---|---|

2 cups per week | 15% |

1 cup per week | 13% |

1 cup per day | 27% |

2+ cups per day | 45% |

Table # 2

Response | Frequency (O) |
---|---|

2 cups per week | 206 |

1 cup per week | 193 |

1 cup per day | 462 |

2+ cups per day | 732 |

Hint: For E column in Table#1: E = 0.15 × 1600 = 240

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