Hi, I would appreciate if you could help me with these questions please.

Thank you so much in advance.

EXAMPLE 7. A celebrity claims that more than 45% of adults recognize his name. His publicist selects a random sample of 303 adults and finds that 179 recognize his name. At a 5% significance level, test the celebrity's claim. Assume that this is a Binomial experiment. Define the parameter of interest. O a. p = the population proportion of 179 adults who recognize the celebrity's name O b. p = the population proportion of 303 adults who recognize the celebrity's name O c. None of the other choices O d. p = the population proportion of adults who recognize the celebrity's name Define the random variable of interest. O a. p = the population proportion of adults who recognize the celebrity's name O b. p = the sample proportion of 303 adults who recognize the celebrity's name O c. p = the sample proportion of 179 adults who recognize the celebrity's name O d. None of the other choices State the null hypothesis. O a. p = 0.45 O b. None of the other choices O c. p 2 0.45 O d. p > 0.45 Which of the following is one of the conditions that needs to be checked to determine the distribution of the test statistic? O a. np > 10 O b. nj > 10 O c. n(1 - p) 2 30 O d. None of the other choicesCalculate the test statistic. Q a. 4.98 O b. 4.93 O c. None of the other choices O d. 5.71 If the value of the test statistic is 5.40, calculate the p-value. Q a. 0.0003 O b. 0.0004 O C. 0.0002 O d. None of the other choices If the p-value is 0.0327, state your decision. O a. Reject HA O b. Reject Ho O c. None of the other choices O d. Fail to reject Ho Suppose your decision is to fail to reject Ho, report your conclusion. O a. At a 5% significance level, we have insufficient evidence to support the celebrity's claim. O b. At a 5% significance level, we have to fail to reject the celebrity's claim. O c. At a 5% significance level, we have sufficient evidence to support the celebrity's claim. O d. At a 5% significance level, we are undecided about the celebrity's claim