If a binomial distribution applies with a sample size of n = 20, find

If a binomial distribution applies with a sample size of n = 20, find the probability of at least 7 successes if the probability of a success is 0.25.show me the work and calculation using P(X)= [n! / (x!(n-x)!)] * p^x * q^n-x

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Conduct appropriate hypothesis tests for the data on a survey conducted. The hypothesis tests should address relevant and interesting questions, and should include one-sample and two-sample tests, and ANOVA and/or Chi-Square tests as appropriate
Need these 2 questions answered. 150 words total 75 for each question. Files are attached. Need referenced if using other source materials including chapter pages and appendix table. Thank you Question 1) Keri is the owner of a new restaurant in the downtown area of her hometown. To continuously improve service, she would like to know if completed dishes are being delivered to the customer’s table within one minute of being completed by the chef. A random sample of 75 completed dishes showed that 60 were delivered within one minute of completion. Calculate the 90%, 95%, and 99% confidence interval for the true population proportion. Interpret your response within the context of the situation. Refer to Chapter 17, pp. 427-430 on calculating confidence intervals. Click here for Table A.2 from the appendix. Your response should be at least 75 words in length, unless otherwise specified. You are required to use at least your textbook as source material for your response. All sources used, including the textbook, must be referenced; paraphrased and quoted material must have accompanying citations. Question 2) A random sample of 100 students attending a concert spent an average of $142 on their tickets with a standard deviation of $47.50. Calculate the 90%, 95%, and 99% confidence intervals for the mean amount of money spent by all students attending the concert. Interpret your response within the context of the situation. Refer to Chapter 17, pp. 427-430 on calculating confidence intervals. Click here for Table A.2 from the appendix. Your response should be at least 75 words in length, unless otherwise specified. You are required to use at least your textbook as source material for your response. All sources used, including the textbook, must be referenced; paraphrased and quoted material must have accompanying citations.
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