A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that
30%
of shoppers will prefer white,
35%
will prefer black,
20%
will prefer silver and
15%
will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Can the company conclude that their expected distribution was accurate using a
2.5%
level of significance? a. Calculate the test statistic.
\chi ^(2)=
Round to two decimal places if necessary b. Using the, determine the critical value(s) for the hypothesis test. c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject