Shoppers were asked about their regular grocery shopping locations. The table below shows the responses of the sampled shoppers. We are interested in determin ing if the proportions of females in the three categories are different from each other. Gender  Grocery Chain  Discount Store  Membership Warehouse  Total Female       230                    80                          100                          410 Male           80                      50                           60                           190 Total           310                    130                         160                         600 a. Provide the null and alternative hypotheses. b. Determine the expected frequencies. c. Compute the sample proportions. d. Compute the critical values (CVij). e. Give your conclusions by providing numerical reasoning.How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02? Use 95% confidence.

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Shoppers were asked about their regular grocery shopping locations. The table below shows
the responses of the sampled shoppers. We are interested in determin
ing if the proportions of
females in the three categories are different from each other.
Gender  Grocery Chain  Discount Store  Membership Warehouse  Total
Female       230                    80                          100                          410
Male           80                      50                           60                           190
Total           310                    130                         160                         600
a.
Provide the null and
alternative hypotheses.
b.
Determine the expected frequencies.
c.
Compute the sample proportions.
d.
Compute the critical values (CVij).
e.
Give your conclusions by providing numerical reasoning.How large a sample should be
taken to estimate the proportion of smokers in the population with a margin of error of
.02? Use 95% confidence.
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