should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.O The sample data do not provide sufficient evidence to reject the null hypothesis that the proportionof all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that theproportion of dentists that recommend this brand of toothpaste is likely equal to 0.9.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that theproportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 andthus we conclude that the proportion of all dentists that recommend this brand of toothpaste islikely different than 0.9.O The sample data provide sufficient evidence to reject the null hypothesis that the proportion of alldentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion ofdentists that recommend this brand of toothpaste is not equal to 0.9.O The sample data provide sufficient evidence to reject the alternative hypothesis that the proportionof dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus weconclude that the proportion of all dentists that recommend this brand of toothpaste is likely equalto 0.9.74°FMostly cloudy 1 Nine out of ten dentists recommend this toothpaste!You have certainly heard the above claim before.Advertisers frequently claim that some percentage ofdoctors or dentists recommend a given health product. It'sbest to take such claims with a large grain of salt.Suppose a recent advertisement claims that 9 out of 10dentists (90%) recommend a certain brand of toothpaste. Aconsumer advocacy group is highly suspicious of this claimand randomly surveys 224 dentists. They find that 95.1% ofthe sample recommends the given brand of toothpaste.Using a significance level of 2.5%, test the hypothesis thatthe proportion of all dentists who recommend this brand oftoothpaste is different than 90%.State the null and alternative hypothesis for this test.Ho: ? îH₁: ? ûDetermine if this test is left-tailed, right-tailed, or two-tailed.left-tailedright-tailedtwo-tailedShould the standard normal (z) distribution or Student's (t)distribution be used for this test?The standard normal (z) distribution should be usedThe Student's t distribution should be usedDetermine the critical value(s) for this hypothesis test.Round the solution (s) to two decimal places. If more thanone critical value exists, enter the solutions using acomma-separated list.

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