A bank manager is interested to study how check deposit preferences have changed for customers over the years. They would like to investigate whether the proportion of customers who deposit a check on the bank's mobile app changed from 2016 to 2018. To study this further, the manager randomly samples 400 bank customers surveyed in 2016 about their method for depositing checks and 400 bank customers surveyed in 2018 about their method for depositing checks. The data from the study are presented in the table below. Let p1 be the proportion of bank customers in 2016 who deposit checks with the mobile app and p2 be the proportion of bank customers in 2018 who deposit checks with the mobile app. 2016 customers 2018 customers Number who deposit checks on the mobile app 50 70 Sample size 400 400 Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at α=0.05 to show the proportion of customers who deposit a check on the bank's mobile app changed from 2016 to 2018? Find the test statistic. Round to the nearest hundredth. Then, find the corresponding p-value using the z-table below: z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.9 0.029 0.028 0.027 0.027 0.026 0.026 0.025 0.024 0.024 0.023 -1.8 0.036 0.035 0.034 0.034 0.033 0.032 0.031 0.031 0.030 0.029 -1.7 0.045 0.044 0.043 0.042 0.041 0.040 0.039 0.038 0.038 0.037 -1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046 -1.5 0.067 0.066 0.064 0.063 0.062 0.061 0.059 0.058 0.057 0.056 -1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068

A bank manager is interested to study how check deposit preferences have changed for customers over the years. They would like to investigate whether the proportion of customers who deposit a check on...

A bank manager is interested to study how check deposit preferences have changed for customers over the years. They would like to investigate whether the proportion of customers who deposit a check on the bank's mobile app changed from 2016 to 2018. To study this further, the manager randomly samples 400 bank customers surveyed in 2016 about their method for depositing checks and 400 bank customers surveyed in 2018 about their method for depositing checks. The data from the study are presented in the table below.

Let p1 be the proportion of bank customers in 2016 who deposit checks with the mobile app and p2 be the proportion of bank customers in 2018 who deposit checks with the mobile app.

	2016 customers	2018 customers
Number who deposit checks on the mobile app	50	70
Sample size	400	400

Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at α=0.05 to show the proportion of customers who deposit a check on the bank's mobile app changed from 2016 to 2018?

Find the test statistic. Round to the nearest hundredth. Then, find the corresponding p-value using the z-table below:

z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
-1.9	0.029	0.028	0.027	0.027	0.026	0.026	0.025	0.024	0.024	0.023
-1.8	0.036	0.035	0.034	0.034	0.033	0.032	0.031	0.031	0.030	0.029
-1.7	0.045	0.044	0.043	0.042	0.041	0.040	0.039	0.038	0.038	0.037
-1.6	0.055	0.054	0.053	0.052	0.051	0.049	0.048	0.047	0.046	0.046
-1.5	0.067	0.066	0.064	0.063	0.062	0.061	0.059	0.058	0.057	0.056
-1.4	0.081	0.079	0.078	0.076	0.075	0.074	0.072	0.071	0.069	0.068

Jun 09, 2022

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