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1)A survery was conducted two years ago asking college students their top motivations for using a credit card.

1)A survery was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.05,
Response Old Survey% New survery,frequency,f
rewards 28% 112
low rates 24% 97
cash back 22% 107
discounts 8% 47
other 18% 62


Which hypothesis is the claim?

a) Determine the critical value and the rejection region


b) Calculate the test statistic

Decide whether to reject or fail to reject the null hypothesis. Then intrepret the decision in the context of the original claim.





2)A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week which 783 randomly selected fatal bicycle accidents occured. At a=0.01, can you reject the claim that the distribution is uniform?
Day Frequency,f
Sunday 107
Monday 111
Tuesday 105
Weds 111
Thurs 120
Fri 104
Sat 125

Determine the Critical Value and the rejection region

Calculate the test statistic

Decide whether to reject or fail to reject the null hypothesis

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