Hello can you please help me solve these:

Review:

1. A certain drug is used as a treatment for cancer. In a study of the effectiveness of this treatment, 1345 subjects were given the drug and 1324 were given a placebo. Among those given the drug, 120 patients developed cancer. Among those in the placebo group, 177 developed cancer. Use a 0.01 significance level to test the claim by constructing an appropriate confidence interval. (Please make sure to state your claim.)

2. Do men and women have the same mean body temperature? Consider the sample of body temperatures listed in the data set listed below. The summary statistics are also given in the table. Given that the test statistic t=1.559, use a 0.05 significance level to test the claim that men and women have different mean body temperatures. (Please make sure to state your claim.)

Women: n_1=15, x(bar)_1= 98.38, s_1=0.45

Men: n_2 = 91, x(bar)_2=98.17, s_2=0.65

3. The opening of auction bids are recorded below. Given that the correlation coefficient for the data listed below is r=0.947, is there sufficient evidence to conclude that there is a linear correlation between the opening bids suggested by the auctioneer and the final winning bids? (Please make sure to state your claim.)

Opening Bid: 1500, 500, 500, 400, 300

Closing Bid: 650, 175, 125, 275, 125

4. An item not included in the table is a pair of New York Knicks tickets. The auctioneer start the bidding at $300. Given that b_0=-4.62 and b_1=0.429, find the best predicted winning bid. Is the result close to the actual winning bid of $250? (Please make sure to state your claim.)

Opening Bid: 1500, 500, 500, 400, 300

Closing Bid: 650, 175, 125, 275, 125

5. The author recorded all digits selected in New York's 4 Win Lottery for two drawings held each day in a recent year. The frequencies of the digits from 0 through 9 are 280, 303, 331, 289, 285, 294, 284, 274, 297, and 284. Given that the test statistic chi-squared= 29.814, use a 0.05 significance leve to test the claim of lottery officials that the digits are selected in a way that they are equally likely. (Please make sure to state your claim.)

***Also, please make sure you know how to test a claim for a proportion and/or a mean by constructing a confidence interval estimate. Please make sure you know how to make an inference based on your interval estimate.***