An ice-cream manufacturer wishes to determine whether there is a relationship between the gender of a teenager and their preferred flavor of ice cream. A survey of 200 teenagers produced the following results:           Gender strawberry vanilla  chocolate  total Female 25 18 59 102 Male 32 29 37 98 Total 57 47 96 200 perform an appropriate test at a 5% level of significance to determine whether there is a relationship between the gender of teenagers and ice-cream flavor preferences.

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Author:Amos Gilat
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An ice-cream manufacturer wishes to determine whether there is a relationship between the gender of a teenager and their preferred flavor of ice cream. A survey of 200 teenagers produced the following results:

         
Gender strawberry vanilla  chocolate  total
Female 25 18 59 102
Male 32 29 37 98
Total 57 47 96 200

perform an appropriate test at a 5% level of significance to determine whether there is a relationship between the gender of teenagers and ice-cream flavor preferences.

 

2.) the financial manager of a national warehouse chain has found from previous experience that 45% of clients pay by credit card, 35% pay on account, while the reminder pay using cash. He wishes to know if this is still the case. A random sample of 1000 sales receipts from the last month produced the following results:

         
  Creditcard Account Cash Total
No. Of receipts  500 315 185 1000

using a 1% significance level, test whether the payment method pattern has changed.

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