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.

Colour	White	Black	Silver	Rose Gold
Frequency	98	129	82	41

Can the company conclude that their expected distribution was accurate using a 5% level of significance?

Chi Square Distribution Table

a. Calculate the test statistic.

2=

Round to two decimal places if necessary

b. Determine the critical value(s) for the hypothesis test.

• +

Round to two decimal places if necessary

c. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject