O Macmillan LearningCredit card companies earn a percentage of the amount charged on their credit cards, paid by the stores that accept the card.A credit card company compares two proposals for increasing the amount that its customers charge on their credit cards.Proposal 1 offers to eliminate the annual fee for customers who charge $1800 or more during the year on their card. Proposal2 offers a small percentage of the total amount charged as a cash reward at the end of the year. The credit card company offerseach proposal to an SRS of 100 of its existing customers. At the end of the year, the total amount charged by each customer isrecorded. The table displays the summary statistics.GroupProposal 1Proposal 2n100OP = 0.1629100X$1319$1372S$261$274Calculate the two-sample t statistic. Give your answer to three decimal places.Find the P-value using Option 2 and Table C. Select the choice that correctly represents the P-value. O Macmillan LearningCredit card companies earn a percentage of the amount charged on their credit cards, paid by the stores that accept the card.A credit card company compares two proposals for increasing the amount that its customers charge on their credit cards.Proposal 1 offers to eliminate the annual fee for customers who charge $1800 or more during the year on their card. Proposal2 offers a small percentage of the total amount charged as a cash reward at the end of the year. The credit card company offerseach proposal to an SRS of 100 of its existing customers. At the end of the year, the total amount charged by each customer isrecorded. The table displays the summary statistics.GroupProposal 1Proposal 2n100OP = 0.1629100X$1319$1372S$261$274Calculate the two-sample t statistic. Give your answer to three decimal places.Find the P-value using Option 2 and Table C. Select the choice that correctly represents the P-value.

The given sample information is as follows:Groupn (sample size)x¯ (sample mean)s (sample standard deviation)Proposal 1100 (n1)$1319 (x¯1)$261 (s1)Proposal 2100 (n2)$1372 (x¯2)$274 (s2)The ratio (larger to smaller) of the sample variances, i.e., s22s22=27422612≈1.102 is less than 4, using the thumb rule, the variances of the distributions of the amount charged by customers through both proposals are claimed to be indifferent. Thus t-test for two populations with equal variances is to be formulated.Considering μ1 and μ2 as the true average amount charged by proposal 1 and proposal 2 respectively, it is set up as follows:H0:μ1=μ2 (the average amount changed by customers through both proposals are hypothesized to be indifferent) versusH1:μ1≠μ2 (the average amount changed by customers through both proposals are hypothesized to be not indifferent) The pooled sample proportion, sp2=(n1−1)s12+(n2−1)s22n1+n2−2=(100−1)×2612+(100−1)×2472100+100−2=71598.5The test statistic is:t=x¯1−x¯2sp2(1n1+1n2)=1319−137271598.5×(1100+1100)=−1.400583191≈−1.401The distribution degrees of freedom,df=n1+n2−2=100+100−2=198Using the excel function "T.DIST.2T(ABS(t),df)" the p-value (two-tailed) for the t-score of −1.400583191 and df=198 is obtained as follows:The p-value is 0.1629.The test statistic is t=−1.401.The p-value is 0.1629.